Greatest Common Factor of 8691/63, 5765/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8691/63, 5765/458

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 8691/63,5765/458

Given fractions are 8691/63,5765/458

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 8691,5765

Greatest Common Factor of Numerators i.e. GCF of 8691,5765 is 1 .

LCM of Denominators means LCM of 63,458 as per the given fractions.

LCM of 63,458 is 28854 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8691,5765

GCF of Fractions 8691/63,5765/458 is 1/28854

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

Greatest Common Factor of 8691,5765 By Matching Biggest Common Factor Method

Greatest Common Factor of 8691,5765 By Matching Biggest Common Factor Method

Factors of 8691

List of positive integer factors of 8691 that divides 8691 without a remainder.

1,3,2897,8691

Factors of 5765

List of positive integer factors of 5765 that divides 5765 without a remainder.

1,5,1153,5765

Greatest Common Factor

We found the factors 8691,5765 . The biggest common factor number is the GCF number.
So the greatest common factor 8691,5765 is 1.

Lets's calculate LCM of 63,458

Given numbers has no common factors except 1. So, there LCM is their product i.e 28854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28854

Therefore, the GCF of Fractions 8691/63,5765/458 is 1/28854

Least Common Multiple of 63,458 with GCF Formula

Least Common Multiple of 63,458 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 63,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,458) = 1

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

GCF(63,458) x common factors =1 x 1 = 1

LCM(63,458) = ( 63 × 458 ) / 1

LCM(63,458) = 28854 / 1

LCM(63,458) = 28854


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 8691/63, 5765/458

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 8691/63, 5765/458?

Answer: GCF of Numerators as per given numbers 8691/63, 5765/458 is

GCF of Numerators i.e. for 8691,5765 is 1

LCM of denominators i.e. for 63,458 is 28854.

Thus, GCF of Fractions is 1/28854.Finally, GCF of Fractions for 8691/63, 5765/458 is 1/28854.