GCF of 2987/829, 5269/7310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2987/829, 5269/7310 i.e 1/6059990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2987/829, 5269/7310.
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 2987/829,5269/7310?
Given fractions are 2987/829,5269/7310
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 2987/829,5269/7310, numerators are 2987,5269
Denominators are 829,7310
The GCF of 2987,5269 is 1 .
LCM of 829,7310 is 6059990.
The greatest common factor of 2987/829,5269/7310 = [GCF of 2987,5269]/[LCM of 829,7310]= 1/6059990
Therefore, the GCF of 2987/829,5269/7310 is 1/6059990.
To find the highest common factor of 2987,5269, we have to find the factors of both numbers and list the highest common factor.
The factors of 2987 are 1, 29, 103, 2987
The factors of 5269 are 1, 11, 479, 5269
The HCF of 2987,5269 is 1.
Lets's calculate GCF of 2987,5269
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2987,5269 By Matching Biggest Common Factor Method
Now, list down the factors of 2987
:1,29,103,2987
Now, list down the factors of 5269
:1,11,479,5269
Greatest Common Factor
We found the factors 2987,5269 . The biggest common factor number is the GCF number.
So the greatest common factor 2987,5269 is 1.
Lets's calculate LCM of 829,7310
Given numbers has no common factors except 1. So, there LCM is their product i.e 6059990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6059990
Therefore, the GCF of Fractions 2987/829,5269/7310 is 1/6059990
Least Common Multiple of 829,7310 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 829,7310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,7310) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,7310) x common factors =1 x 1 = 1
LCM(829,7310) = ( 829 × 7310 ) / 1
LCM(829,7310) = 6059990 / 1
LCM(829,7310) = 6059990
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FAQs on GCF of Fractions of 2987/829, 5269/7310
1. What is the HCF of 2987,5269?
The HCF of 2987,5269 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 2987/829, 5269/7310?
Answer: GCF of Numerators as per given numbers 2987/829, 5269/7310 is
GCF of Numerators i.e. for 2987,5269 is 1
LCM of denominators i.e. for 829,7310 is 6059990.
Thus, GCF of Fractions is 1/6059990.Finally, GCF of Fractions for 2987/829, 5269/7310 is 1/6059990.