GCF of 9731/506, 4589/272
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9731/506, 4589/272 i.e 1/68816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9731/506, 4589/272.
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 9731/506,4589/272?
Given fractions are 9731/506,4589/272
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 9731/506,4589/272, numerators are 9731,4589
Denominators are 506,272
The GCF of 9731,4589 is 1 .
LCM of 506,272 is 68816.
The greatest common factor of 9731/506,4589/272 = [GCF of 9731,4589]/[LCM of 506,272]= 1/68816
Therefore, the GCF of 9731/506,4589/272 is 1/68816.
To find the highest common factor of 9731,4589, we have to find the factors of both numbers and list the highest common factor.
The factors of 9731 are 1, 37, 263, 9731
The factors of 4589 are 1, 13, 353, 4589
The HCF of 9731,4589 is 1.
Lets's calculate GCF of 9731,4589
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9731,4589 By Matching Biggest Common Factor Method
Now, list down the factors of 9731
:1,37,263,9731
Now, list down the factors of 4589
:1,13,353,4589
Greatest Common Factor
We found the factors 9731,4589 . The biggest common factor number is the GCF number.
So the greatest common factor 9731,4589 is 1.
Lets's calculate LCM of 506,272
| 2 | 506, 272 |
| 253, 136 |
∴ So the LCM of the given numbers is 2 x 253 x 136 = 68816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68816
Therefore, the GCF of Fractions 9731/506,4589/272 is 1/68816
Least Common Multiple of 506,272 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 506,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,272) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(506,272) x common factors =2 x 1 = 2
LCM(506,272) = ( 506 × 272 ) / 2
LCM(506,272) = 137632 / 2
LCM(506,272) = 68816
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FAQs on GCF of Fractions of 9731/506, 4589/272
1. What is the HCF of 9731,4589?
The HCF of 9731,4589 is 1
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 9731/506, 4589/272?
Answer: GCF of Numerators as per given numbers 9731/506, 4589/272 is
GCF of Numerators i.e. for 9731,4589 is 1
LCM of denominators i.e. for 506,272 is 68816.
Thus, GCF of Fractions is 1/68816.Finally, GCF of Fractions for 9731/506, 4589/272 is 1/68816.