Greatest Common Factor of 4692/31, 5471/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4692/31, 5471/965

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 4692/31,5471/965

Given fractions are 4692/31,5471/965

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 4692,5471

Greatest Common Factor of Numerators i.e. GCF of 4692,5471 is 1 .

LCM of Denominators means LCM of 31,965 as per the given fractions.

LCM of 31,965 is 29915 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4692,5471

GCF of Fractions 4692/31,5471/965 is 1/29915

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4692,5471 By Matching Biggest Common Factor Method

Greatest Common Factor of 4692,5471 By Matching Biggest Common Factor Method

Factors of 4692

List of positive integer factors of 4692 that divides 4692 without a remainder.

1,2,3,4,6,12,17,23,34,46,51,68,69,92,102,138,204,276,391,782,1173,1564,2346,4692

Factors of 5471

List of positive integer factors of 5471 that divides 5471 without a remainder.

1,5471

Greatest Common Factor

We found the factors 4692,5471 . The biggest common factor number is the GCF number.
So the greatest common factor 4692,5471 is 1.

Lets's calculate LCM of 31,965

Given numbers has no common factors except 1. So, there LCM is their product i.e 29915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29915

Therefore, the GCF of Fractions 4692/31,5471/965 is 1/29915

Least Common Multiple of 31,965 with GCF Formula

Least Common Multiple of 31,965 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 31,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,965) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(31,965) x common factors =1 x 1 = 1

LCM(31,965) = ( 31 × 965 ) / 1

LCM(31,965) = 29915 / 1

LCM(31,965) = 29915


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 4692/31, 5471/965

1. 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.

2. What is the GCF of Fractions for 4692/31, 5471/965?

Answer: GCF of Numerators as per given numbers 4692/31, 5471/965 is

GCF of Numerators i.e. for 4692,5471 is 1

LCM of denominators i.e. for 31,965 is 29915.

Thus, GCF of Fractions is 1/29915.Finally, GCF of Fractions for 4692/31, 5471/965 is 1/29915.