Find the HCF 84 , 112 , 140

Math
84 , 112 , 140
Find the common factors for the numerical part:
84,112,140
The factors for 84 are 1,2,3,4,6,7,12,14,21,28,42,84.
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The factors for 84 are all numbers between 1 and 84, which divide 84 evenly.
Check numbers between 1 and 84
Find the factor pairs of 84 where x⋅y=84.
xy184242328421614712
List the factors for 84.
1,2,3,4,6,7,12,14,21,28,42,84
1,2,3,4,6,7,12,14,21,28,42,84
The factors for 112 are 1,2,4,7,8,14,16,28,56,112.
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The factors for 112 are all numbers between 1 and 112, which divide 112 evenly.
Check numbers between 1 and 112
Find the factor pairs of 112 where x⋅y=112.
xy1112256428716814
List the factors for 112.
1,2,4,7,8,14,16,28,56,112
1,2,4,7,8,14,16,28,56,112
The factors for 140 are 1,2,4,5,7,10,14,20,28,35,70,140.
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The factors for 140 are all numbers between 1 and 140, which divide 140 evenly.
Check numbers between 1 and 140
Find the factor pairs of 140 where x⋅y=140.
xy11402704355287201014
List the factors for 140.
1,2,4,5,7,10,14,20,28,35,70,140
1,2,4,5,7,10,14,20,28,35,70,140
List all the factors for 84,112,140 to find the common factors.
84: 1,2,3,4,6,7,12,14,21,28,42,84
112: 1,2,4,7,8,14,16,28,56,112
140: 1,2,4,5,7,10,14,20,28,35,70,140
The common factors for 84,112,140 are 1,2,4,7,14,28.
1,2,4,7,14,28
The GCF (HCF) of the numerical factors 1,2,4,7,14,28 is 28.
28
Find the HCF 84 , 112 , 140

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