Greatest Common Factor of 858/79, 836/55, 861/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 858/79, 836/55, 861/949

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 858/79,836/55,861/949

Given fractions are 858/79,836/55,861/949

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 858,836,861

Greatest Common Factor of Numerators i.e. GCF of 858,836,861 is 1 .

LCM of Denominators means LCM of 79,55,949 as per the given fractions.

LCM of 79,55,949 is 4123405 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 858,836,861

GCF of Fractions 858/79,836/55,861/949 is 1/4123405

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

Greatest Common Factor of 858,836,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 858,836,861 By Matching Biggest Common Factor Method

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 858,836,861 . The biggest common factor number is the GCF number.
So the greatest common factor 858,836,861 is 1.

Lets's calculate LCM of 79,55,949

Given numbers has no common factors except 1. So, there LCM is their product i.e 4123405

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4123405

Therefore, the GCF of Fractions 858/79,836/55,861/949 is 1/4123405

Least Common Multiple of 79,55,949 with GCF Formula

Least Common Multiple of 79,55,949 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 79,55,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,55,949) = 1

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

GCF(79,55,949) x common factors =1 x 1 = 1

LCM(79,55,949) = ( 79 × 55 × 949 ) / 1

LCM(79,55,949) = 4123405 / 1

LCM(79,55,949) = 4123405


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 858/79, 836/55, 861/949

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 858/79, 836/55, 861/949?

Answer: GCF of Numerators as per given numbers 858/79, 836/55, 861/949 is

GCF of Numerators i.e. for 858,836,861 is 1

LCM of denominators i.e. for 79,55,949 is 4123405.

Thus, GCF of Fractions is 1/4123405.Finally, GCF of Fractions for 858/79, 836/55, 861/949 is 1/4123405.