Greatest Common Factor of 5329/438, 6776/4867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5329/438, 6776/4867

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 5329/438,6776/4867

Given fractions are 5329/438,6776/4867

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 5329,6776

Greatest Common Factor of Numerators i.e. GCF of 5329,6776 is 1 .

LCM of Denominators means LCM of 438,4867 as per the given fractions.

LCM of 438,4867 is 2131746 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5329,6776

GCF of Fractions 5329/438,6776/4867 is 1/2131746

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

Greatest Common Factor of 5329,6776 By Matching Biggest Common Factor Method

Greatest Common Factor of 5329,6776 By Matching Biggest Common Factor Method

Factors of 5329

List of positive integer factors of 5329 that divides 5329 without a remainder.

1,73,5329

Factors of 6776

List of positive integer factors of 6776 that divides 6776 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,121,154,242,308,484,616,847,968,1694,3388,6776

Greatest Common Factor

We found the factors 5329,6776 . The biggest common factor number is the GCF number.
So the greatest common factor 5329,6776 is 1.

Lets's calculate LCM of 438,4867

Given numbers has no common factors except 1. So, there LCM is their product i.e 2131746

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2131746

Therefore, the GCF of Fractions 5329/438,6776/4867 is 1/2131746

Least Common Multiple of 438,4867 with GCF Formula

Least Common Multiple of 438,4867 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 438,4867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,4867) = 1

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

GCF(438,4867) x common factors =1 x 1 = 1

LCM(438,4867) = ( 438 × 4867 ) / 1

LCM(438,4867) = 2131746 / 1

LCM(438,4867) = 2131746


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 5329/438, 6776/4867

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 5329/438, 6776/4867?

Answer: GCF of Numerators as per given numbers 5329/438, 6776/4867 is

GCF of Numerators i.e. for 5329,6776 is 1

LCM of denominators i.e. for 438,4867 is 2131746.

Thus, GCF of Fractions is 1/2131746.Finally, GCF of Fractions for 5329/438, 6776/4867 is 1/2131746.