Greatest Common Factor of 1401/536, 2078/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1401/536, 2078/154

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 1401/536,2078/154

Given fractions are 1401/536,2078/154

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 1401,2078

Greatest Common Factor of Numerators i.e. GCF of 1401,2078 is 1 .

LCM of Denominators means LCM of 536,154 as per the given fractions.

LCM of 536,154 is 41272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1401,2078

GCF of Fractions 1401/536,2078/154 is 1/41272

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

Greatest Common Factor of 1401,2078 By Matching Biggest Common Factor Method

Greatest Common Factor of 1401,2078 By Matching Biggest Common Factor Method

Factors of 1401

List of positive integer factors of 1401 that divides 1401 without a remainder.

1,3,467,1401

Factors of 2078

List of positive integer factors of 2078 that divides 2078 without a remainder.

1,2,1039,2078

Greatest Common Factor

We found the factors 1401,2078 . The biggest common factor number is the GCF number.
So the greatest common factor 1401,2078 is 1.

Lets's calculate LCM of 536,154

2 536, 154
268, 77

∴ So the LCM of the given numbers is 2 x 268 x 77 = 41272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41272

Therefore, the GCF of Fractions 1401/536,2078/154 is 1/41272

Least Common Multiple of 536,154 with GCF Formula

Least Common Multiple of 536,154 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 536,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,154) = 2

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

GCF(536,154) x common factors =2 x 1 = 2

LCM(536,154) = ( 536 × 154 ) / 2

LCM(536,154) = 82544 / 2

LCM(536,154) = 41272


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 1401/536, 2078/154

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 1401/536, 2078/154?

Answer: GCF of Numerators as per given numbers 1401/536, 2078/154 is

GCF of Numerators i.e. for 1401,2078 is 1

LCM of denominators i.e. for 536,154 is 41272.

Thus, GCF of Fractions is 1/41272.Finally, GCF of Fractions for 1401/536, 2078/154 is 1/41272.