Greatest Common Factor of 5398/355, 1271/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5398/355, 1271/509

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 5398/355,1271/509

Given fractions are 5398/355,1271/509

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 5398,1271

Greatest Common Factor of Numerators i.e. GCF of 5398,1271 is 1 .

LCM of Denominators means LCM of 355,509 as per the given fractions.

LCM of 355,509 is 180695 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5398,1271

GCF of Fractions 5398/355,1271/509 is 1/180695

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

Greatest Common Factor of 5398,1271 By Matching Biggest Common Factor Method

Greatest Common Factor of 5398,1271 By Matching Biggest Common Factor Method

Factors of 5398

List of positive integer factors of 5398 that divides 5398 without a remainder.

1,2,2699,5398

Factors of 1271

List of positive integer factors of 1271 that divides 1271 without a remainder.

1,31,41,1271

Greatest Common Factor

We found the factors 5398,1271 . The biggest common factor number is the GCF number.
So the greatest common factor 5398,1271 is 1.

Lets's calculate LCM of 355,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 180695

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180695

Therefore, the GCF of Fractions 5398/355,1271/509 is 1/180695

Least Common Multiple of 355,509 with GCF Formula

Least Common Multiple of 355,509 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 355,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,509) = 1

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

GCF(355,509) x common factors =1 x 1 = 1

LCM(355,509) = ( 355 × 509 ) / 1

LCM(355,509) = 180695 / 1

LCM(355,509) = 180695


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 5398/355, 1271/509

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 5398/355, 1271/509?

Answer: GCF of Numerators as per given numbers 5398/355, 1271/509 is

GCF of Numerators i.e. for 5398,1271 is 1

LCM of denominators i.e. for 355,509 is 180695.

Thus, GCF of Fractions is 1/180695.Finally, GCF of Fractions for 5398/355, 1271/509 is 1/180695.