Greatest Common Factor of 753/55, 340/5877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 753/55, 340/5877

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 753/55,340/5877

Given fractions are 753/55,340/5877

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 753,340

Greatest Common Factor of Numerators i.e. GCF of 753,340 is 1 .

LCM of Denominators means LCM of 55,5877 as per the given fractions.

LCM of 55,5877 is 323235 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 753,340

GCF of Fractions 753/55,340/5877 is 1/323235

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

Greatest Common Factor of 753,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,340 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 753,340 . The biggest common factor number is the GCF number.
So the greatest common factor 753,340 is 1.

Lets's calculate LCM of 55,5877

Given numbers has no common factors except 1. So, there LCM is their product i.e 323235

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/323235

Therefore, the GCF of Fractions 753/55,340/5877 is 1/323235

Least Common Multiple of 55,5877 with GCF Formula

Least Common Multiple of 55,5877 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 55,5877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,5877) = 1

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

GCF(55,5877) x common factors =1 x 1 = 1

LCM(55,5877) = ( 55 × 5877 ) / 1

LCM(55,5877) = 323235 / 1

LCM(55,5877) = 323235


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 753/55, 340/5877

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 753/55, 340/5877?

Answer: GCF of Numerators as per given numbers 753/55, 340/5877 is

GCF of Numerators i.e. for 753,340 is 1

LCM of denominators i.e. for 55,5877 is 323235.

Thus, GCF of Fractions is 1/323235.Finally, GCF of Fractions for 753/55, 340/5877 is 1/323235.