Greatest Common Factor of 2179/73, 5057/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2179/73, 5057/850

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 2179/73,5057/850

Given fractions are 2179/73,5057/850

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 2179,5057

Greatest Common Factor of Numerators i.e. GCF of 2179,5057 is 1 .

LCM of Denominators means LCM of 73,850 as per the given fractions.

LCM of 73,850 is 62050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2179,5057

GCF of Fractions 2179/73,5057/850 is 1/62050

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

Greatest Common Factor of 2179,5057 By Matching Biggest Common Factor Method

Greatest Common Factor of 2179,5057 By Matching Biggest Common Factor Method

Factors of 2179

List of positive integer factors of 2179 that divides 2179 without a remainder.

1,2179

Factors of 5057

List of positive integer factors of 5057 that divides 5057 without a remainder.

1,13,389,5057

Greatest Common Factor

We found the factors 2179,5057 . The biggest common factor number is the GCF number.
So the greatest common factor 2179,5057 is 1.

Lets's calculate LCM of 73,850

Given numbers has no common factors except 1. So, there LCM is their product i.e 62050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62050

Therefore, the GCF of Fractions 2179/73,5057/850 is 1/62050

Least Common Multiple of 73,850 with GCF Formula

Least Common Multiple of 73,850 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 73,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,850) = 1

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

GCF(73,850) x common factors =1 x 1 = 1

LCM(73,850) = ( 73 × 850 ) / 1

LCM(73,850) = 62050 / 1

LCM(73,850) = 62050


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 2179/73, 5057/850

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 2179/73, 5057/850?

Answer: GCF of Numerators as per given numbers 2179/73, 5057/850 is

GCF of Numerators i.e. for 2179,5057 is 1

LCM of denominators i.e. for 73,850 is 62050.

Thus, GCF of Fractions is 1/62050.Finally, GCF of Fractions for 2179/73, 5057/850 is 1/62050.