Greatest Common Factor of 5316/83, 4432/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5316/83, 4432/776

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 5316/83,4432/776

Given fractions are 5316/83,4432/776

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 5316,4432

Greatest Common Factor of Numerators i.e. GCF of 5316,4432 is 4 .

LCM of Denominators means LCM of 83,776 as per the given fractions.

LCM of 83,776 is 64408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5316,4432

GCF of Fractions 5316/83,4432/776 is 4/64408

2 5316, 4432
2 2658, 2216
1329, 1108

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5316,4432 By Matching Biggest Common Factor Method

Greatest Common Factor of 5316,4432 By Matching Biggest Common Factor Method

Factors of 5316

List of positive integer factors of 5316 that divides 5316 without a remainder.

1,2,3,4,6,12,443,886,1329,1772,2658,5316

Factors of 4432

List of positive integer factors of 4432 that divides 4432 without a remainder.

1,2,4,8,16,277,554,1108,2216,4432

Greatest Common Factor

We found the factors 5316,4432 . The biggest common factor number is the GCF number.
So the greatest common factor 5316,4432 is 4.

Lets's calculate LCM of 83,776

Given numbers has no common factors except 1. So, there LCM is their product i.e 64408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/64408

Therefore, the GCF of Fractions 5316/83,4432/776 is 4/64408

Least Common Multiple of 83,776 with GCF Formula

Least Common Multiple of 83,776 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 83,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,776) = 1

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

GCF(83,776) x common factors =1 x 1 = 1

LCM(83,776) = ( 83 × 776 ) / 1

LCM(83,776) = 64408 / 1

LCM(83,776) = 64408


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 5316/83, 4432/776

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 5316/83, 4432/776?

Answer: GCF of Numerators as per given numbers 5316/83, 4432/776 is

GCF of Numerators i.e. for 5316,4432 is 4

LCM of denominators i.e. for 83,776 is 64408.

Thus, GCF of Fractions is 4/64408.Finally, GCF of Fractions for 5316/83, 4432/776 is 4/64408.