GCF of 937/431, 711/311
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 937/431, 711/311 i.e 1/134041 easily. The following is the detailed procedure to determine the greatest common factor of fractions 937/431, 711/311.
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 937/431,711/311?
Given fractions are 937/431,711/311
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 937/431,711/311, numerators are 937,711
Denominators are 431,311
The GCF of 937,711 is 1 .
LCM of 431,311 is 134041.
The greatest common factor of 937/431,711/311 = [GCF of 937,711]/[LCM of 431,311]= 1/134041
Therefore, the GCF of 937/431,711/311 is 1/134041.
To find the highest common factor of 937,711, we have to find the factors of both numbers and list the highest common factor.
The factors of 937 are 1, 937
The factors of 711 are 1, 3, 9, 79, 237, 711
The HCF of 937,711 is 1.
Lets's calculate GCF of 937,711
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 937,711 By Matching Biggest Common Factor Method
Now, list down the factors of 937
:1,937
Now, list down the factors of 711
:1,3,9,79,237,711
Greatest Common Factor
We found the factors 937,711 . The biggest common factor number is the GCF number.
So the greatest common factor 937,711 is 1.
Lets's calculate LCM of 431,311
Given numbers has no common factors except 1. So, there LCM is their product i.e 134041
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134041
Therefore, the GCF of Fractions 937/431,711/311 is 1/134041
Least Common Multiple of 431,311 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 431,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,311) x common factors =1 x 1 = 1
LCM(431,311) = ( 431 × 311 ) / 1
LCM(431,311) = 134041 / 1
LCM(431,311) = 134041
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 937/431, 711/311
1. What is the HCF of 937,711?
The HCF of 937,711 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 937/431, 711/311?
Answer: GCF of Numerators as per given numbers 937/431, 711/311 is
GCF of Numerators i.e. for 937,711 is 1
LCM of denominators i.e. for 431,311 is 134041.
Thus, GCF of Fractions is 1/134041.Finally, GCF of Fractions for 937/431, 711/311 is 1/134041.