GCF of 4731/479, 7971/4762
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4731/479, 7971/4762 i.e 3/2280998 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4731/479, 7971/4762.
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 4731/479,7971/4762?
Given fractions are 4731/479,7971/4762
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 4731/479,7971/4762, numerators are 4731,7971
Denominators are 479,4762
The GCF of 4731,7971 is 3 .
LCM of 479,4762 is 2280998.
The greatest common factor of 4731/479,7971/4762 = [GCF of 4731,7971]/[LCM of 479,4762]= 3/2280998
Therefore, the GCF of 4731/479,7971/4762 is 3/2280998.
To find the highest common factor of 4731,7971, we have to find the factors of both numbers and list the highest common factor.
The factors of 4731 are 1, 3, 19, 57, 83, 249, 1577, 4731
The factors of 7971 are 1, 3, 2657, 7971
The HCF of 4731,7971 is 3.
Lets's calculate GCF of 4731,7971
| 3 | 4731, 7971 |
| 1577, 2657 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4731,7971 By Matching Biggest Common Factor Method
Now, list down the factors of 4731
:1,3,19,57,83,249,1577,4731
Now, list down the factors of 7971
:1,3,2657,7971
Greatest Common Factor
We found the factors 4731,7971 . The biggest common factor number is the GCF number.
So the greatest common factor 4731,7971 is 3.
Lets's calculate LCM of 479,4762
Given numbers has no common factors except 1. So, there LCM is their product i.e 2280998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2280998
Therefore, the GCF of Fractions 4731/479,7971/4762 is 3/2280998
Least Common Multiple of 479,4762 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 479,4762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(479,4762) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(479,4762) x common factors =1 x 1 = 1
LCM(479,4762) = ( 479 × 4762 ) / 1
LCM(479,4762) = 2280998 / 1
LCM(479,4762) = 2280998
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FAQs on GCF of Fractions of 4731/479, 7971/4762
1. What is the HCF of 4731,7971?
The HCF of 4731,7971 is 3
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 4731/479, 7971/4762?
Answer: GCF of Numerators as per given numbers 4731/479, 7971/4762 is
GCF of Numerators i.e. for 4731,7971 is 3
LCM of denominators i.e. for 479,4762 is 2280998.
Thus, GCF of Fractions is 3/2280998.Finally, GCF of Fractions for 4731/479, 7971/4762 is 3/2280998.