Greatest Common Factor of 916/43, 477/58, 705/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 916/43, 477/58, 705/242

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 916/43,477/58,705/242

Given fractions are 916/43,477/58,705/242

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 916,477,705

Greatest Common Factor of Numerators i.e. GCF of 916,477,705 is 1 .

LCM of Denominators means LCM of 43,58,242 as per the given fractions.

LCM of 43,58,242 is 301774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 916,477,705

GCF of Fractions 916/43,477/58,705/242 is 1/301774

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

Greatest Common Factor of 916,477,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,477,705 By Matching Biggest Common Factor Method

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 916,477,705 . The biggest common factor number is the GCF number.
So the greatest common factor 916,477,705 is 1.

Lets's calculate LCM of 43,58,242

2 43, 58, 242
43, 29, 121

∴ So the LCM of the given numbers is 2 x 43 x 29 x 121 = 301774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/301774

Therefore, the GCF of Fractions 916/43,477/58,705/242 is 1/301774

Least Common Multiple of 43,58,242 with GCF Formula

Least Common Multiple of 43,58,242 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 43,58,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,58,242) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(43,58,242) x common factors =1 x 2 = 2

LCM(43,58,242) = ( 43 × 58 × 242 ) / 2

LCM(43,58,242) = 603548 / 2

LCM(43,58,242) = 301774


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 916/43, 477/58, 705/242

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 916/43, 477/58, 705/242?

Answer: GCF of Numerators as per given numbers 916/43, 477/58, 705/242 is

GCF of Numerators i.e. for 916,477,705 is 1

LCM of denominators i.e. for 43,58,242 is 301774.

Thus, GCF of Fractions is 1/301774.Finally, GCF of Fractions for 916/43, 477/58, 705/242 is 1/301774.