GCF of 2498/747, 3131/1933
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2498/747, 3131/1933 i.e 1/1443951 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2498/747, 3131/1933.
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 2498/747,3131/1933?
Given fractions are 2498/747,3131/1933
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 2498/747,3131/1933, numerators are 2498,3131
Denominators are 747,1933
The GCF of 2498,3131 is 1 .
LCM of 747,1933 is 1443951.
The greatest common factor of 2498/747,3131/1933 = [GCF of 2498,3131]/[LCM of 747,1933]= 1/1443951
Therefore, the GCF of 2498/747,3131/1933 is 1/1443951.
To find the highest common factor of 2498,3131, we have to find the factors of both numbers and list the highest common factor.
The factors of 2498 are 1, 2, 1249, 2498
The factors of 3131 are 1, 31, 101, 3131
The HCF of 2498,3131 is 1.
Lets's calculate GCF of 2498,3131
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2498,3131 By Matching Biggest Common Factor Method
Now, list down the factors of 2498
:1,2,1249,2498
Now, list down the factors of 3131
:1,31,101,3131
Greatest Common Factor
We found the factors 2498,3131 . The biggest common factor number is the GCF number.
So the greatest common factor 2498,3131 is 1.
Lets's calculate LCM of 747,1933
Given numbers has no common factors except 1. So, there LCM is their product i.e 1443951
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1443951
Therefore, the GCF of Fractions 2498/747,3131/1933 is 1/1443951
Least Common Multiple of 747,1933 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 747,1933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,1933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,1933) x common factors =1 x 1 = 1
LCM(747,1933) = ( 747 × 1933 ) / 1
LCM(747,1933) = 1443951 / 1
LCM(747,1933) = 1443951
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FAQs on GCF of Fractions of 2498/747, 3131/1933
1. What is the HCF of 2498,3131?
The HCF of 2498,3131 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 2498/747, 3131/1933?
Answer: GCF of Numerators as per given numbers 2498/747, 3131/1933 is
GCF of Numerators i.e. for 2498,3131 is 1
LCM of denominators i.e. for 747,1933 is 1443951.
Thus, GCF of Fractions is 1/1443951.Finally, GCF of Fractions for 2498/747, 3131/1933 is 1/1443951.