GCF of 4927/202, 5317/742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4927/202, 5317/742 i.e 13/74942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4927/202, 5317/742.
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 4927/202,5317/742?
Given fractions are 4927/202,5317/742
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 4927/202,5317/742, numerators are 4927,5317
Denominators are 202,742
The GCF of 4927,5317 is 13 .
LCM of 202,742 is 74942.
The greatest common factor of 4927/202,5317/742 = [GCF of 4927,5317]/[LCM of 202,742]= 13/74942
Therefore, the GCF of 4927/202,5317/742 is 13/74942.
To find the highest common factor of 4927,5317, we have to find the factors of both numbers and list the highest common factor.
The factors of 4927 are 1, 13, 379, 4927
The factors of 5317 are 1, 13, 409, 5317
The HCF of 4927,5317 is 13.
Lets's calculate GCF of 4927,5317
| 13 | 4927, 5317 |
| 379, 409 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 4927,5317 By Matching Biggest Common Factor Method
Now, list down the factors of 4927
:1,13,379,4927
Now, list down the factors of 5317
:1,13,409,5317
Greatest Common Factor
We found the factors 4927,5317 . The biggest common factor number is the GCF number.
So the greatest common factor 4927,5317 is 13.
Lets's calculate LCM of 202,742
| 2 | 202, 742 |
| 101, 371 |
∴ So the LCM of the given numbers is 2 x 101 x 371 = 74942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/74942
Therefore, the GCF of Fractions 4927/202,5317/742 is 13/74942
Least Common Multiple of 202,742 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 202,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,742) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,742) x common factors =2 x 1 = 2
LCM(202,742) = ( 202 × 742 ) / 2
LCM(202,742) = 149884 / 2
LCM(202,742) = 74942
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FAQs on GCF of Fractions of 4927/202, 5317/742
1. What is the HCF of 4927,5317?
The HCF of 4927,5317 is 13
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 4927/202, 5317/742?
Answer: GCF of Numerators as per given numbers 4927/202, 5317/742 is
GCF of Numerators i.e. for 4927,5317 is 13
LCM of denominators i.e. for 202,742 is 74942.
Thus, GCF of Fractions is 13/74942.Finally, GCF of Fractions for 4927/202, 5317/742 is 13/74942.