Greatest Common Factor of 458/61, 751/51, 250/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 458/61, 751/51, 250/277

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 458/61,751/51,250/277

Given fractions are 458/61,751/51,250/277

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 458,751,250

Greatest Common Factor of Numerators i.e. GCF of 458,751,250 is 1 .

LCM of Denominators means LCM of 61,51,277 as per the given fractions.

LCM of 61,51,277 is 861747 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 458,751,250

GCF of Fractions 458/61,751/51,250/277 is 1/861747

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

Greatest Common Factor of 458,751,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,751,250 By Matching Biggest Common Factor Method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 458,751,250 . The biggest common factor number is the GCF number.
So the greatest common factor 458,751,250 is 1.

Lets's calculate LCM of 61,51,277

Given numbers has no common factors except 1. So, there LCM is their product i.e 861747

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/861747

Therefore, the GCF of Fractions 458/61,751/51,250/277 is 1/861747

Least Common Multiple of 61,51,277 with GCF Formula

Least Common Multiple of 61,51,277 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 61,51,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,51,277) = 1

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

GCF(61,51,277) x common factors =1 x 1 = 1

LCM(61,51,277) = ( 61 × 51 × 277 ) / 1

LCM(61,51,277) = 861747 / 1

LCM(61,51,277) = 861747


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 458/61, 751/51, 250/277

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 458/61, 751/51, 250/277?

Answer: GCF of Numerators as per given numbers 458/61, 751/51, 250/277 is

GCF of Numerators i.e. for 458,751,250 is 1

LCM of denominators i.e. for 61,51,277 is 861747.

Thus, GCF of Fractions is 1/861747.Finally, GCF of Fractions for 458/61, 751/51, 250/277 is 1/861747.