Greatest Common Factor of 5338/772, 1100/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5338/772, 1100/709

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 5338/772,1100/709

Given fractions are 5338/772,1100/709

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 5338,1100

Greatest Common Factor of Numerators i.e. GCF of 5338,1100 is 2 .

LCM of Denominators means LCM of 772,709 as per the given fractions.

LCM of 772,709 is 547348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5338,1100

GCF of Fractions 5338/772,1100/709 is 2/547348

2 5338, 1100
2669, 550

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

Greatest Common Factor of 5338,1100 By Matching Biggest Common Factor Method

Greatest Common Factor of 5338,1100 By Matching Biggest Common Factor Method

Factors of 5338

List of positive integer factors of 5338 that divides 5338 without a remainder.

1,2,17,34,157,314,2669,5338

Factors of 1100

List of positive integer factors of 1100 that divides 1100 without a remainder.

1,2,4,5,10,11,20,22,25,44,50,55,100,110,220,275,550,1100

Greatest Common Factor

We found the factors 5338,1100 . The biggest common factor number is the GCF number.
So the greatest common factor 5338,1100 is 2.

Lets's calculate LCM of 772,709

Given numbers has no common factors except 1. So, there LCM is their product i.e 547348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/547348

Therefore, the GCF of Fractions 5338/772,1100/709 is 2/547348

Least Common Multiple of 772,709 with GCF Formula

Least Common Multiple of 772,709 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 772,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,709) = 1

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

GCF(772,709) x common factors =1 x 1 = 1

LCM(772,709) = ( 772 × 709 ) / 1

LCM(772,709) = 547348 / 1

LCM(772,709) = 547348


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 5338/772, 1100/709

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 5338/772, 1100/709?

Answer: GCF of Numerators as per given numbers 5338/772, 1100/709 is

GCF of Numerators i.e. for 5338,1100 is 2

LCM of denominators i.e. for 772,709 is 547348.

Thus, GCF of Fractions is 2/547348.Finally, GCF of Fractions for 5338/772, 1100/709 is 2/547348.