GCF of 7802/472, 7656/134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7802/472, 7656/134 i.e 2/31624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7802/472, 7656/134.
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 7802/472,7656/134?
Given fractions are 7802/472,7656/134
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 7802/472,7656/134, numerators are 7802,7656
Denominators are 472,134
The GCF of 7802,7656 is 2 .
LCM of 472,134 is 31624.
The greatest common factor of 7802/472,7656/134 = [GCF of 7802,7656]/[LCM of 472,134]= 2/31624
Therefore, the GCF of 7802/472,7656/134 is 2/31624.
To find the highest common factor of 7802,7656, we have to find the factors of both numbers and list the highest common factor.
The factors of 7802 are 1, 2, 47, 83, 94, 166, 3901, 7802
The factors of 7656 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 29, 33, 44, 58, 66, 87, 88, 116, 132, 174, 232, 264, 319, 348, 638, 696, 957, 1276, 1914, 2552, 3828, 7656
The HCF of 7802,7656 is 2.
Lets's calculate GCF of 7802,7656
| 2 | 7802, 7656 |
| 3901, 3828 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7802,7656 By Matching Biggest Common Factor Method
Now, list down the factors of 7802
:1,2,47,83,94,166,3901,7802
Now, list down the factors of 7656
:1,2,3,4,6,8,11,12,22,24,29,33,44,58,66,87,88,116,132,174,232,264,319,348,638,696,957,1276,1914,2552,3828,7656
Greatest Common Factor
We found the factors 7802,7656 . The biggest common factor number is the GCF number.
So the greatest common factor 7802,7656 is 2.
Lets's calculate LCM of 472,134
| 2 | 472, 134 |
| 236, 67 |
∴ So the LCM of the given numbers is 2 x 236 x 67 = 31624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31624
Therefore, the GCF of Fractions 7802/472,7656/134 is 2/31624
Least Common Multiple of 472,134 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 472,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(472,134) x common factors =2 x 1 = 2
LCM(472,134) = ( 472 × 134 ) / 2
LCM(472,134) = 63248 / 2
LCM(472,134) = 31624
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FAQs on GCF of Fractions of 7802/472, 7656/134
1. What is the HCF of 7802,7656?
The HCF of 7802,7656 is 2
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 7802/472, 7656/134?
Answer: GCF of Numerators as per given numbers 7802/472, 7656/134 is
GCF of Numerators i.e. for 7802,7656 is 2
LCM of denominators i.e. for 472,134 is 31624.
Thus, GCF of Fractions is 2/31624.Finally, GCF of Fractions for 7802/472, 7656/134 is 2/31624.