Greatest Common Factor of 5051/10, 1510/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5051/10, 1510/867

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 5051/10,1510/867

Given fractions are 5051/10,1510/867

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 5051,1510

Greatest Common Factor of Numerators i.e. GCF of 5051,1510 is 1 .

LCM of Denominators means LCM of 10,867 as per the given fractions.

LCM of 10,867 is 8670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5051,1510

GCF of Fractions 5051/10,1510/867 is 1/8670

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

Greatest Common Factor of 5051,1510 By Matching Biggest Common Factor Method

Greatest Common Factor of 5051,1510 By Matching Biggest Common Factor Method

Factors of 5051

List of positive integer factors of 5051 that divides 5051 without a remainder.

1,5051

Factors of 1510

List of positive integer factors of 1510 that divides 1510 without a remainder.

1,2,5,10,151,302,755,1510

Greatest Common Factor

We found the factors 5051,1510 . The biggest common factor number is the GCF number.
So the greatest common factor 5051,1510 is 1.

Lets's calculate LCM of 10,867

Given numbers has no common factors except 1. So, there LCM is their product i.e 8670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8670

Therefore, the GCF of Fractions 5051/10,1510/867 is 1/8670

Least Common Multiple of 10,867 with GCF Formula

Least Common Multiple of 10,867 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 10,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,867) = 1

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

GCF(10,867) x common factors =1 x 1 = 1

LCM(10,867) = ( 10 × 867 ) / 1

LCM(10,867) = 8670 / 1

LCM(10,867) = 8670


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 5051/10, 1510/867

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 5051/10, 1510/867?

Answer: GCF of Numerators as per given numbers 5051/10, 1510/867 is

GCF of Numerators i.e. for 5051,1510 is 1

LCM of denominators i.e. for 10,867 is 8670.

Thus, GCF of Fractions is 1/8670.Finally, GCF of Fractions for 5051/10, 1510/867 is 1/8670.