Greatest Common Factor of 5919/69, 9753/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5919/69, 9753/754

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 5919/69,9753/754

Given fractions are 5919/69,9753/754

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 5919,9753

Greatest Common Factor of Numerators i.e. GCF of 5919,9753 is 3 .

LCM of Denominators means LCM of 69,754 as per the given fractions.

LCM of 69,754 is 52026 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5919,9753

GCF of Fractions 5919/69,9753/754 is 3/52026

3 5919, 9753
1973, 3251

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5919,9753 By Matching Biggest Common Factor Method

Greatest Common Factor of 5919,9753 By Matching Biggest Common Factor Method

Factors of 5919

List of positive integer factors of 5919 that divides 5919 without a remainder.

1,3,1973,5919

Factors of 9753

List of positive integer factors of 9753 that divides 9753 without a remainder.

1,3,3251,9753

Greatest Common Factor

We found the factors 5919,9753 . The biggest common factor number is the GCF number.
So the greatest common factor 5919,9753 is 3.

Lets's calculate LCM of 69,754

Given numbers has no common factors except 1. So, there LCM is their product i.e 52026

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/52026

Therefore, the GCF of Fractions 5919/69,9753/754 is 3/52026

Least Common Multiple of 69,754 with GCF Formula

Least Common Multiple of 69,754 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 69,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,754) = 1

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

GCF(69,754) x common factors =1 x 1 = 1

LCM(69,754) = ( 69 × 754 ) / 1

LCM(69,754) = 52026 / 1

LCM(69,754) = 52026


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 5919/69, 9753/754

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 5919/69, 9753/754?

Answer: GCF of Numerators as per given numbers 5919/69, 9753/754 is

GCF of Numerators i.e. for 5919,9753 is 3

LCM of denominators i.e. for 69,754 is 52026.

Thus, GCF of Fractions is 3/52026.Finally, GCF of Fractions for 5919/69, 9753/754 is 3/52026.