Greatest Common Factor of 2993/960, 7114/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2993/960, 7114/211

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 2993/960,7114/211

Given fractions are 2993/960,7114/211

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 2993,7114

Greatest Common Factor of Numerators i.e. GCF of 2993,7114 is 1 .

LCM of Denominators means LCM of 960,211 as per the given fractions.

LCM of 960,211 is 202560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2993,7114

GCF of Fractions 2993/960,7114/211 is 1/202560

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

Greatest Common Factor of 2993,7114 By Matching Biggest Common Factor Method

Greatest Common Factor of 2993,7114 By Matching Biggest Common Factor Method

Factors of 2993

List of positive integer factors of 2993 that divides 2993 without a remainder.

1,41,73,2993

Factors of 7114

List of positive integer factors of 7114 that divides 7114 without a remainder.

1,2,3557,7114

Greatest Common Factor

We found the factors 2993,7114 . The biggest common factor number is the GCF number.
So the greatest common factor 2993,7114 is 1.

Lets's calculate LCM of 960,211

Given numbers has no common factors except 1. So, there LCM is their product i.e 202560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/202560

Therefore, the GCF of Fractions 2993/960,7114/211 is 1/202560

Least Common Multiple of 960,211 with GCF Formula

Least Common Multiple of 960,211 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 960,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,211) = 1

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

GCF(960,211) x common factors =1 x 1 = 1

LCM(960,211) = ( 960 × 211 ) / 1

LCM(960,211) = 202560 / 1

LCM(960,211) = 202560


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 2993/960, 7114/211

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 2993/960, 7114/211?

Answer: GCF of Numerators as per given numbers 2993/960, 7114/211 is

GCF of Numerators i.e. for 2993,7114 is 1

LCM of denominators i.e. for 960,211 is 202560.

Thus, GCF of Fractions is 1/202560.Finally, GCF of Fractions for 2993/960, 7114/211 is 1/202560.