GCF of 3712/832, 2842/7246
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3712/832, 2842/7246 i.e 58/3014336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3712/832, 2842/7246.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3712/832,2842/7246?
Given fractions are 3712/832,2842/7246
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3712/832,2842/7246, numerators are 3712,2842
Denominators are 832,7246
The GCF of 3712,2842 is 58 .
LCM of 832,7246 is 3014336.
The greatest common factor of 3712/832,2842/7246 = [GCF of 3712,2842]/[LCM of 832,7246]= 58/3014336
Therefore, the GCF of 3712/832,2842/7246 is 58/3014336.
To find the highest common factor of 3712,2842, we have to find the factors of both numbers and list the highest common factor.
The factors of 3712 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856, 3712
The factors of 2842 are 1, 2, 7, 14, 29, 49, 58, 98, 203, 406, 1421, 2842
The HCF of 3712,2842 is 58.
Lets's calculate GCF of 3712,2842
| 2 | 3712, 2842 |
| 29 | 1856, 1421 |
| 64, 49 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 3712,2842 By Matching Biggest Common Factor Method
Now, list down the factors of 3712
:1,2,4,8,16,29,32,58,64,116,128,232,464,928,1856,3712
Now, list down the factors of 2842
:1,2,7,14,29,49,58,98,203,406,1421,2842
Greatest Common Factor
We found the factors 3712,2842 . The biggest common factor number is the GCF number.
So the greatest common factor 3712,2842 is 58.
Lets's calculate LCM of 832,7246
| 2 | 832, 7246 |
| 416, 3623 |
∴ So the LCM of the given numbers is 2 x 416 x 3623 = 3014336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/3014336
Therefore, the GCF of Fractions 3712/832,2842/7246 is 58/3014336
Least Common Multiple of 832,7246 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 832,7246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,7246) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(832,7246) x common factors =2 x 1 = 2
LCM(832,7246) = ( 832 × 7246 ) / 2
LCM(832,7246) = 6028672 / 2
LCM(832,7246) = 3014336
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FAQs on GCF of Fractions of 3712/832, 2842/7246
1. What is the HCF of 3712,2842?
The HCF of 3712,2842 is 58
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3712/832, 2842/7246?
Answer: GCF of Numerators as per given numbers 3712/832, 2842/7246 is
GCF of Numerators i.e. for 3712,2842 is 58
LCM of denominators i.e. for 832,7246 is 3014336.
Thus, GCF of Fractions is 58/3014336.Finally, GCF of Fractions for 3712/832, 2842/7246 is 58/3014336.