Greatest Common Factor of 458/20, 313/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 458/20, 313/175

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 458/20,313/175

Given fractions are 458/20,313/175

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 458,313

Greatest Common Factor of Numerators i.e. GCF of 458,313 is 1 .

LCM of Denominators means LCM of 20,175 as per the given fractions.

LCM of 20,175 is 700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 458,313

GCF of Fractions 458/20,313/175 is 1/700

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

Greatest Common Factor of 458,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,313 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 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 458,313 . The biggest common factor number is the GCF number.
So the greatest common factor 458,313 is 1.

Lets's calculate LCM of 20,175

5 20, 175
4, 35

∴ So the LCM of the given numbers is 5 x 4 x 35 = 700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/700

Therefore, the GCF of Fractions 458/20,313/175 is 1/700

Least Common Multiple of 20,175 with GCF Formula

Least Common Multiple of 20,175 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 20,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,175) = 5

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

GCF(20,175) x common factors =5 x 1 = 5

LCM(20,175) = ( 20 × 175 ) / 5

LCM(20,175) = 3500 / 5

LCM(20,175) = 700


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 458/20, 313/175

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 458/20, 313/175?

Answer: GCF of Numerators as per given numbers 458/20, 313/175 is

GCF of Numerators i.e. for 458,313 is 1

LCM of denominators i.e. for 20,175 is 700.

Thus, GCF of Fractions is 1/700.Finally, GCF of Fractions for 458/20, 313/175 is 1/700.