Greatest Common Factor of 2873/69, 1977/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2873/69, 1977/850

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 2873/69,1977/850

Given fractions are 2873/69,1977/850

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 2873,1977

Greatest Common Factor of Numerators i.e. GCF of 2873,1977 is 1 .

LCM of Denominators means LCM of 69,850 as per the given fractions.

LCM of 69,850 is 58650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2873,1977

GCF of Fractions 2873/69,1977/850 is 1/58650

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

Greatest Common Factor of 2873,1977 By Matching Biggest Common Factor Method

Greatest Common Factor of 2873,1977 By Matching Biggest Common Factor Method

Factors of 2873

List of positive integer factors of 2873 that divides 2873 without a remainder.

1,13,17,169,221,2873

Factors of 1977

List of positive integer factors of 1977 that divides 1977 without a remainder.

1,3,659,1977

Greatest Common Factor

We found the factors 2873,1977 . The biggest common factor number is the GCF number.
So the greatest common factor 2873,1977 is 1.

Lets's calculate LCM of 69,850

Given numbers has no common factors except 1. So, there LCM is their product i.e 58650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58650

Therefore, the GCF of Fractions 2873/69,1977/850 is 1/58650

Least Common Multiple of 69,850 with GCF Formula

Least Common Multiple of 69,850 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 69,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,850) = 1

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

GCF(69,850) x common factors =1 x 1 = 1

LCM(69,850) = ( 69 × 850 ) / 1

LCM(69,850) = 58650 / 1

LCM(69,850) = 58650


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 2873/69, 1977/850

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 2873/69, 1977/850?

Answer: GCF of Numerators as per given numbers 2873/69, 1977/850 is

GCF of Numerators i.e. for 2873,1977 is 1

LCM of denominators i.e. for 69,850 is 58650.

Thus, GCF of Fractions is 1/58650.Finally, GCF of Fractions for 2873/69, 1977/850 is 1/58650.