Greatest Common Factor of 751/23, 354/6753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 751/23, 354/6753

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 751/23,354/6753

Given fractions are 751/23,354/6753

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 751,354

Greatest Common Factor of Numerators i.e. GCF of 751,354 is 1 .

LCM of Denominators means LCM of 23,6753 as per the given fractions.

LCM of 23,6753 is 155319 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 751,354

GCF of Fractions 751/23,354/6753 is 1/155319

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

Greatest Common Factor of 751,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 751,354 By Matching Biggest Common Factor Method

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 751,354 . The biggest common factor number is the GCF number.
So the greatest common factor 751,354 is 1.

Lets's calculate LCM of 23,6753

Given numbers has no common factors except 1. So, there LCM is their product i.e 155319

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155319

Therefore, the GCF of Fractions 751/23,354/6753 is 1/155319

Least Common Multiple of 23,6753 with GCF Formula

Least Common Multiple of 23,6753 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 23,6753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,6753) = 1

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

GCF(23,6753) x common factors =1 x 1 = 1

LCM(23,6753) = ( 23 × 6753 ) / 1

LCM(23,6753) = 155319 / 1

LCM(23,6753) = 155319


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 751/23, 354/6753

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 751/23, 354/6753?

Answer: GCF of Numerators as per given numbers 751/23, 354/6753 is

GCF of Numerators i.e. for 751,354 is 1

LCM of denominators i.e. for 23,6753 is 155319.

Thus, GCF of Fractions is 1/155319.Finally, GCF of Fractions for 751/23, 354/6753 is 1/155319.