Greatest Common Factor of 4665/868, 3457/7777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4665/868, 3457/7777

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 4665/868,3457/7777

Given fractions are 4665/868,3457/7777

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 4665,3457

Greatest Common Factor of Numerators i.e. GCF of 4665,3457 is 1 .

LCM of Denominators means LCM of 868,7777 as per the given fractions.

LCM of 868,7777 is 964348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4665,3457

GCF of Fractions 4665/868,3457/7777 is 1/964348

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

Greatest Common Factor of 4665,3457 By Matching Biggest Common Factor Method

Greatest Common Factor of 4665,3457 By Matching Biggest Common Factor Method

Factors of 4665

List of positive integer factors of 4665 that divides 4665 without a remainder.

1,3,5,15,311,933,1555,4665

Factors of 3457

List of positive integer factors of 3457 that divides 3457 without a remainder.

1,3457

Greatest Common Factor

We found the factors 4665,3457 . The biggest common factor number is the GCF number.
So the greatest common factor 4665,3457 is 1.

Lets's calculate LCM of 868,7777

7 868, 7777
124, 1111

∴ So the LCM of the given numbers is 7 x 124 x 1111 = 964348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/964348

Therefore, the GCF of Fractions 4665/868,3457/7777 is 1/964348

Least Common Multiple of 868,7777 with GCF Formula

Least Common Multiple of 868,7777 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 868,7777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,7777) = 7

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

GCF(868,7777) x common factors =7 x 1 = 7

LCM(868,7777) = ( 868 × 7777 ) / 7

LCM(868,7777) = 6750436 / 7

LCM(868,7777) = 964348


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 4665/868, 3457/7777

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 4665/868, 3457/7777?

Answer: GCF of Numerators as per given numbers 4665/868, 3457/7777 is

GCF of Numerators i.e. for 4665,3457 is 1

LCM of denominators i.e. for 868,7777 is 964348.

Thus, GCF of Fractions is 1/964348.Finally, GCF of Fractions for 4665/868, 3457/7777 is 1/964348.