Greatest Common Factor of 206/348, 926/877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 206/348, 926/877

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 206/348,926/877

Given fractions are 206/348,926/877

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 206,926

Greatest Common Factor of Numerators i.e. GCF of 206,926 is 2 .

LCM of Denominators means LCM of 348,877 as per the given fractions.

LCM of 348,877 is 305196 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 206,926

GCF of Fractions 206/348,926/877 is 2/305196

2 206, 926
103, 463

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 206,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,926 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 206,926 . The biggest common factor number is the GCF number.
So the greatest common factor 206,926 is 2.

Lets's calculate LCM of 348,877

Given numbers has no common factors except 1. So, there LCM is their product i.e 305196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/305196

Therefore, the GCF of Fractions 206/348,926/877 is 2/305196

Least Common Multiple of 348,877 with GCF Formula

Least Common Multiple of 348,877 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 348,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,877) = 1

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

GCF(348,877) x common factors =1 x 1 = 1

LCM(348,877) = ( 348 × 877 ) / 1

LCM(348,877) = 305196 / 1

LCM(348,877) = 305196


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 206/348, 926/877

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 206/348, 926/877?

Answer: GCF of Numerators as per given numbers 206/348, 926/877 is

GCF of Numerators i.e. for 206,926 is 2

LCM of denominators i.e. for 348,877 is 305196.

Thus, GCF of Fractions is 2/305196.Finally, GCF of Fractions for 206/348, 926/877 is 2/305196.