GCF of 2597/631, 5771/312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2597/631, 5771/312 i.e 1/196872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2597/631, 5771/312.
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 2597/631,5771/312?
Given fractions are 2597/631,5771/312
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 2597/631,5771/312, numerators are 2597,5771
Denominators are 631,312
The GCF of 2597,5771 is 1 .
LCM of 631,312 is 196872.
The greatest common factor of 2597/631,5771/312 = [GCF of 2597,5771]/[LCM of 631,312]= 1/196872
Therefore, the GCF of 2597/631,5771/312 is 1/196872.
To find the highest common factor of 2597,5771, we have to find the factors of both numbers and list the highest common factor.
The factors of 2597 are 1, 7, 49, 53, 371, 2597
The factors of 5771 are 1, 29, 199, 5771
The HCF of 2597,5771 is 1.
Lets's calculate GCF of 2597,5771
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2597,5771 By Matching Biggest Common Factor Method
Now, list down the factors of 2597
:1,7,49,53,371,2597
Now, list down the factors of 5771
:1,29,199,5771
Greatest Common Factor
We found the factors 2597,5771 . The biggest common factor number is the GCF number.
So the greatest common factor 2597,5771 is 1.
Lets's calculate LCM of 631,312
Given numbers has no common factors except 1. So, there LCM is their product i.e 196872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196872
Therefore, the GCF of Fractions 2597/631,5771/312 is 1/196872
Least Common Multiple of 631,312 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 631,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,312) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,312) x common factors =1 x 1 = 1
LCM(631,312) = ( 631 × 312 ) / 1
LCM(631,312) = 196872 / 1
LCM(631,312) = 196872
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FAQs on GCF of Fractions of 2597/631, 5771/312
1. What is the HCF of 2597,5771?
The HCF of 2597,5771 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 2597/631, 5771/312?
Answer: GCF of Numerators as per given numbers 2597/631, 5771/312 is
GCF of Numerators i.e. for 2597,5771 is 1
LCM of denominators i.e. for 631,312 is 196872.
Thus, GCF of Fractions is 1/196872.Finally, GCF of Fractions for 2597/631, 5771/312 is 1/196872.