Greatest Common Factor of 872/53, 201/37, 196/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 872/53, 201/37, 196/340

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 872/53,201/37,196/340

Given fractions are 872/53,201/37,196/340

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 872,201,196

Greatest Common Factor of Numerators i.e. GCF of 872,201,196 is 1 .

LCM of Denominators means LCM of 53,37,340 as per the given fractions.

LCM of 53,37,340 is 666740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 872,201,196

GCF of Fractions 872/53,201/37,196/340 is 1/666740

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

Greatest Common Factor of 872,201,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,201,196 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 872,201,196 . The biggest common factor number is the GCF number.
So the greatest common factor 872,201,196 is 1.

Lets's calculate LCM of 53,37,340

Given numbers has no common factors except 1. So, there LCM is their product i.e 666740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/666740

Therefore, the GCF of Fractions 872/53,201/37,196/340 is 1/666740

Least Common Multiple of 53,37,340 with GCF Formula

Least Common Multiple of 53,37,340 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 53,37,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,37,340) = 1

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

GCF(53,37,340) x common factors =1 x 1 = 1

LCM(53,37,340) = ( 53 × 37 × 340 ) / 1

LCM(53,37,340) = 666740 / 1

LCM(53,37,340) = 666740


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 872/53, 201/37, 196/340

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 872/53, 201/37, 196/340?

Answer: GCF of Numerators as per given numbers 872/53, 201/37, 196/340 is

GCF of Numerators i.e. for 872,201,196 is 1

LCM of denominators i.e. for 53,37,340 is 666740.

Thus, GCF of Fractions is 1/666740.Finally, GCF of Fractions for 872/53, 201/37, 196/340 is 1/666740.