Greatest Common Factor of 1869/297, 1142/7114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1869/297, 1142/7114

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 1869/297,1142/7114

Given fractions are 1869/297,1142/7114

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 1869,1142

Greatest Common Factor of Numerators i.e. GCF of 1869,1142 is 1 .

LCM of Denominators means LCM of 297,7114 as per the given fractions.

LCM of 297,7114 is 2112858 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1869,1142

GCF of Fractions 1869/297,1142/7114 is 1/2112858

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

Greatest Common Factor of 1869,1142 By Matching Biggest Common Factor Method

Greatest Common Factor of 1869,1142 By Matching Biggest Common Factor Method

Factors of 1869

List of positive integer factors of 1869 that divides 1869 without a remainder.

1,3,7,21,89,267,623,1869

Factors of 1142

List of positive integer factors of 1142 that divides 1142 without a remainder.

1,2,571,1142

Greatest Common Factor

We found the factors 1869,1142 . The biggest common factor number is the GCF number.
So the greatest common factor 1869,1142 is 1.

Lets's calculate LCM of 297,7114

Given numbers has no common factors except 1. So, there LCM is their product i.e 2112858

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2112858

Therefore, the GCF of Fractions 1869/297,1142/7114 is 1/2112858

Least Common Multiple of 297,7114 with GCF Formula

Least Common Multiple of 297,7114 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 297,7114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,7114) = 1

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

GCF(297,7114) x common factors =1 x 1 = 1

LCM(297,7114) = ( 297 × 7114 ) / 1

LCM(297,7114) = 2112858 / 1

LCM(297,7114) = 2112858


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 1869/297, 1142/7114

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 1869/297, 1142/7114?

Answer: GCF of Numerators as per given numbers 1869/297, 1142/7114 is

GCF of Numerators i.e. for 1869,1142 is 1

LCM of denominators i.e. for 297,7114 is 2112858.

Thus, GCF of Fractions is 1/2112858.Finally, GCF of Fractions for 1869/297, 1142/7114 is 1/2112858.