GCF of 752/331, 957/530
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 752/331, 957/530 i.e 1/175430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 752/331, 957/530.
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 752/331,957/530?
Given fractions are 752/331,957/530
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 752/331,957/530, numerators are 752,957
Denominators are 331,530
The GCF of 752,957 is 1 .
LCM of 331,530 is 175430.
The greatest common factor of 752/331,957/530 = [GCF of 752,957]/[LCM of 331,530]= 1/175430
Therefore, the GCF of 752/331,957/530 is 1/175430.
To find the highest common factor of 752,957, we have to find the factors of both numbers and list the highest common factor.
The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
The factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957
The HCF of 752,957 is 1.
Lets's calculate GCF of 752,957
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 752,957 By Matching Biggest Common Factor Method
Now, list down the factors of 752
:1,2,4,8,16,47,94,188,376,752
Now, list down the factors of 957
:1,3,11,29,33,87,319,957
Greatest Common Factor
We found the factors 752,957 . The biggest common factor number is the GCF number.
So the greatest common factor 752,957 is 1.
Lets's calculate LCM of 331,530
Given numbers has no common factors except 1. So, there LCM is their product i.e 175430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175430
Therefore, the GCF of Fractions 752/331,957/530 is 1/175430
Least Common Multiple of 331,530 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 331,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,530) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,530) x common factors =1 x 1 = 1
LCM(331,530) = ( 331 × 530 ) / 1
LCM(331,530) = 175430 / 1
LCM(331,530) = 175430
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 752/331, 957/530
1. What is the HCF of 752,957?
The HCF of 752,957 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 752/331, 957/530?
Answer: GCF of Numerators as per given numbers 752/331, 957/530 is
GCF of Numerators i.e. for 752,957 is 1
LCM of denominators i.e. for 331,530 is 175430.
Thus, GCF of Fractions is 1/175430.Finally, GCF of Fractions for 752/331, 957/530 is 1/175430.