GCF of 4952/772, 7956/6574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4952/772, 7956/6574 i.e 4/2537564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4952/772, 7956/6574.
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 4952/772,7956/6574?
Given fractions are 4952/772,7956/6574
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 4952/772,7956/6574, numerators are 4952,7956
Denominators are 772,6574
The GCF of 4952,7956 is 4 .
LCM of 772,6574 is 2537564.
The greatest common factor of 4952/772,7956/6574 = [GCF of 4952,7956]/[LCM of 772,6574]= 4/2537564
Therefore, the GCF of 4952/772,7956/6574 is 4/2537564.
To find the highest common factor of 4952,7956, we have to find the factors of both numbers and list the highest common factor.
The factors of 4952 are 1, 2, 4, 8, 619, 1238, 2476, 4952
The factors of 7956 are 1, 2, 3, 4, 6, 9, 12, 13, 17, 18, 26, 34, 36, 39, 51, 52, 68, 78, 102, 117, 153, 156, 204, 221, 234, 306, 442, 468, 612, 663, 884, 1326, 1989, 2652, 3978, 7956
The HCF of 4952,7956 is 4.
Lets's calculate GCF of 4952,7956
| 2 | 4952, 7956 |
| 2 | 2476, 3978 |
| 1238, 1989 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4952,7956 By Matching Biggest Common Factor Method
Now, list down the factors of 4952
:1,2,4,8,619,1238,2476,4952
Now, list down the factors of 7956
:1,2,3,4,6,9,12,13,17,18,26,34,36,39,51,52,68,78,102,117,153,156,204,221,234,306,442,468,612,663,884,1326,1989,2652,3978,7956
Greatest Common Factor
We found the factors 4952,7956 . The biggest common factor number is the GCF number.
So the greatest common factor 4952,7956 is 4.
Lets's calculate LCM of 772,6574
| 2 | 772, 6574 |
| 386, 3287 |
∴ So the LCM of the given numbers is 2 x 386 x 3287 = 2537564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2537564
Therefore, the GCF of Fractions 4952/772,7956/6574 is 4/2537564
Least Common Multiple of 772,6574 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 772,6574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,6574) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(772,6574) x common factors =2 x 1 = 2
LCM(772,6574) = ( 772 × 6574 ) / 2
LCM(772,6574) = 5075128 / 2
LCM(772,6574) = 2537564
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FAQs on GCF of Fractions of 4952/772, 7956/6574
1. What is the HCF of 4952,7956?
The HCF of 4952,7956 is 4
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 4952/772, 7956/6574?
Answer: GCF of Numerators as per given numbers 4952/772, 7956/6574 is
GCF of Numerators i.e. for 4952,7956 is 4
LCM of denominators i.e. for 772,6574 is 2537564.
Thus, GCF of Fractions is 4/2537564.Finally, GCF of Fractions for 4952/772, 7956/6574 is 4/2537564.