Greatest Common Factor of 451/757, 8653/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 451/757, 8653/907

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 451/757,8653/907

Given fractions are 451/757,8653/907

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 451,8653

Greatest Common Factor of Numerators i.e. GCF of 451,8653 is 1 .

LCM of Denominators means LCM of 757,907 as per the given fractions.

LCM of 757,907 is 686599 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 451,8653

GCF of Fractions 451/757,8653/907 is 1/686599

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

Greatest Common Factor of 451,8653 By Matching Biggest Common Factor Method

Greatest Common Factor of 451,8653 By Matching Biggest Common Factor Method

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 8653

List of positive integer factors of 8653 that divides 8653 without a remainder.

1,17,509,8653

Greatest Common Factor

We found the factors 451,8653 . The biggest common factor number is the GCF number.
So the greatest common factor 451,8653 is 1.

Lets's calculate LCM of 757,907

Given numbers has no common factors except 1. So, there LCM is their product i.e 686599

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/686599

Therefore, the GCF of Fractions 451/757,8653/907 is 1/686599

Least Common Multiple of 757,907 with GCF Formula

Least Common Multiple of 757,907 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 757,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(757,907) = 1

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

GCF(757,907) x common factors =1 x 1 = 1

LCM(757,907) = ( 757 × 907 ) / 1

LCM(757,907) = 686599 / 1

LCM(757,907) = 686599


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 451/757, 8653/907

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 451/757, 8653/907?

Answer: GCF of Numerators as per given numbers 451/757, 8653/907 is

GCF of Numerators i.e. for 451,8653 is 1

LCM of denominators i.e. for 757,907 is 686599.

Thus, GCF of Fractions is 1/686599.Finally, GCF of Fractions for 451/757, 8653/907 is 1/686599.