Greatest Common Factor of 5067/53, 1402/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5067/53, 1402/920

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 5067/53,1402/920

Given fractions are 5067/53,1402/920

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 5067,1402

Greatest Common Factor of Numerators i.e. GCF of 5067,1402 is 1 .

LCM of Denominators means LCM of 53,920 as per the given fractions.

LCM of 53,920 is 48760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5067,1402

GCF of Fractions 5067/53,1402/920 is 1/48760

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

Greatest Common Factor of 5067,1402 By Matching Biggest Common Factor Method

Greatest Common Factor of 5067,1402 By Matching Biggest Common Factor Method

Factors of 5067

List of positive integer factors of 5067 that divides 5067 without a remainder.

1,3,9,563,1689,5067

Factors of 1402

List of positive integer factors of 1402 that divides 1402 without a remainder.

1,2,701,1402

Greatest Common Factor

We found the factors 5067,1402 . The biggest common factor number is the GCF number.
So the greatest common factor 5067,1402 is 1.

Lets's calculate LCM of 53,920

Given numbers has no common factors except 1. So, there LCM is their product i.e 48760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48760

Therefore, the GCF of Fractions 5067/53,1402/920 is 1/48760

Least Common Multiple of 53,920 with GCF Formula

Least Common Multiple of 53,920 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 53,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,920) = 1

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

GCF(53,920) x common factors =1 x 1 = 1

LCM(53,920) = ( 53 × 920 ) / 1

LCM(53,920) = 48760 / 1

LCM(53,920) = 48760


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 5067/53, 1402/920

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 5067/53, 1402/920?

Answer: GCF of Numerators as per given numbers 5067/53, 1402/920 is

GCF of Numerators i.e. for 5067,1402 is 1

LCM of denominators i.e. for 53,920 is 48760.

Thus, GCF of Fractions is 1/48760.Finally, GCF of Fractions for 5067/53, 1402/920 is 1/48760.