GCF of 5024/472, 9980/952
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5024/472, 9980/952 i.e 4/56168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5024/472, 9980/952.
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 5024/472,9980/952?
Given fractions are 5024/472,9980/952
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 5024/472,9980/952, numerators are 5024,9980
Denominators are 472,952
The GCF of 5024,9980 is 4 .
LCM of 472,952 is 56168.
The greatest common factor of 5024/472,9980/952 = [GCF of 5024,9980]/[LCM of 472,952]= 4/56168
Therefore, the GCF of 5024/472,9980/952 is 4/56168.
To find the highest common factor of 5024,9980, we have to find the factors of both numbers and list the highest common factor.
The factors of 5024 are 1, 2, 4, 8, 16, 32, 157, 314, 628, 1256, 2512, 5024
The factors of 9980 are 1, 2, 4, 5, 10, 20, 499, 998, 1996, 2495, 4990, 9980
The HCF of 5024,9980 is 4.
Lets's calculate GCF of 5024,9980
| 2 | 5024, 9980 |
| 2 | 2512, 4990 |
| 1256, 2495 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5024,9980 By Matching Biggest Common Factor Method
Now, list down the factors of 5024
:1,2,4,8,16,32,157,314,628,1256,2512,5024
Now, list down the factors of 9980
:1,2,4,5,10,20,499,998,1996,2495,4990,9980
Greatest Common Factor
We found the factors 5024,9980 . The biggest common factor number is the GCF number.
So the greatest common factor 5024,9980 is 4.
Lets's calculate LCM of 472,952
| 2 | 472, 952 |
| 2 | 236, 476 |
| 2 | 118, 238 |
| 59, 119 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 59 x 119 = 56168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/56168
Therefore, the GCF of Fractions 5024/472,9980/952 is 4/56168
Least Common Multiple of 472,952 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 472,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,952) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(472,952) x common factors =8 x 1 = 8
LCM(472,952) = ( 472 × 952 ) / 8
LCM(472,952) = 449344 / 8
LCM(472,952) = 56168
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FAQs on GCF of Fractions of 5024/472, 9980/952
1. What is the HCF of 5024,9980?
The HCF of 5024,9980 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 5024/472, 9980/952?
Answer: GCF of Numerators as per given numbers 5024/472, 9980/952 is
GCF of Numerators i.e. for 5024,9980 is 4
LCM of denominators i.e. for 472,952 is 56168.
Thus, GCF of Fractions is 4/56168.Finally, GCF of Fractions for 5024/472, 9980/952 is 4/56168.