Greatest Common Factor of 3475/722, 1978/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3475/722, 1978/913

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 3475/722,1978/913

Given fractions are 3475/722,1978/913

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 3475,1978

Greatest Common Factor of Numerators i.e. GCF of 3475,1978 is 1 .

LCM of Denominators means LCM of 722,913 as per the given fractions.

LCM of 722,913 is 659186 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3475,1978

GCF of Fractions 3475/722,1978/913 is 1/659186

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

Greatest Common Factor of 3475,1978 By Matching Biggest Common Factor Method

Greatest Common Factor of 3475,1978 By Matching Biggest Common Factor Method

Factors of 3475

List of positive integer factors of 3475 that divides 3475 without a remainder.

1,5,25,139,695,3475

Factors of 1978

List of positive integer factors of 1978 that divides 1978 without a remainder.

1,2,23,43,46,86,989,1978

Greatest Common Factor

We found the factors 3475,1978 . The biggest common factor number is the GCF number.
So the greatest common factor 3475,1978 is 1.

Lets's calculate LCM of 722,913

Given numbers has no common factors except 1. So, there LCM is their product i.e 659186

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/659186

Therefore, the GCF of Fractions 3475/722,1978/913 is 1/659186

Least Common Multiple of 722,913 with GCF Formula

Least Common Multiple of 722,913 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 722,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,913) = 1

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

GCF(722,913) x common factors =1 x 1 = 1

LCM(722,913) = ( 722 × 913 ) / 1

LCM(722,913) = 659186 / 1

LCM(722,913) = 659186


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 3475/722, 1978/913

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 3475/722, 1978/913?

Answer: GCF of Numerators as per given numbers 3475/722, 1978/913 is

GCF of Numerators i.e. for 3475,1978 is 1

LCM of denominators i.e. for 722,913 is 659186.

Thus, GCF of Fractions is 1/659186.Finally, GCF of Fractions for 3475/722, 1978/913 is 1/659186.