GCF of 2531/939, 4699/3371
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2531/939, 4699/3371 i.e 1/3165369 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2531/939, 4699/3371.
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 2531/939,4699/3371?
Given fractions are 2531/939,4699/3371
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 2531/939,4699/3371, numerators are 2531,4699
Denominators are 939,3371
The GCF of 2531,4699 is 1 .
LCM of 939,3371 is 3165369.
The greatest common factor of 2531/939,4699/3371 = [GCF of 2531,4699]/[LCM of 939,3371]= 1/3165369
Therefore, the GCF of 2531/939,4699/3371 is 1/3165369.
To find the highest common factor of 2531,4699, we have to find the factors of both numbers and list the highest common factor.
The factors of 2531 are 1, 2531
The factors of 4699 are 1, 37, 127, 4699
The HCF of 2531,4699 is 1.
Lets's calculate GCF of 2531,4699
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2531,4699 By Matching Biggest Common Factor Method
Now, list down the factors of 2531
:1,2531
Now, list down the factors of 4699
:1,37,127,4699
Greatest Common Factor
We found the factors 2531,4699 . The biggest common factor number is the GCF number.
So the greatest common factor 2531,4699 is 1.
Lets's calculate LCM of 939,3371
Given numbers has no common factors except 1. So, there LCM is their product i.e 3165369
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3165369
Therefore, the GCF of Fractions 2531/939,4699/3371 is 1/3165369
Least Common Multiple of 939,3371 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 939,3371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,3371) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(939,3371) x common factors =1 x 1 = 1
LCM(939,3371) = ( 939 × 3371 ) / 1
LCM(939,3371) = 3165369 / 1
LCM(939,3371) = 3165369
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FAQs on GCF of Fractions of 2531/939, 4699/3371
1. What is the HCF of 2531,4699?
The HCF of 2531,4699 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 2531/939, 4699/3371?
Answer: GCF of Numerators as per given numbers 2531/939, 4699/3371 is
GCF of Numerators i.e. for 2531,4699 is 1
LCM of denominators i.e. for 939,3371 is 3165369.
Thus, GCF of Fractions is 1/3165369.Finally, GCF of Fractions for 2531/939, 4699/3371 is 1/3165369.