Greatest Common Factor of 458/70, 644/49, 367/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 458/70, 644/49, 367/897

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 458/70,644/49,367/897

Given fractions are 458/70,644/49,367/897

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 458,644,367

Greatest Common Factor of Numerators i.e. GCF of 458,644,367 is 1 .

LCM of Denominators means LCM of 70,49,897 as per the given fractions.

LCM of 70,49,897 is 439530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 458,644,367

GCF of Fractions 458/70,644/49,367/897 is 1/439530

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

Greatest Common Factor of 458,644,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,644,367 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 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 458,644,367 . The biggest common factor number is the GCF number.
So the greatest common factor 458,644,367 is 1.

Lets's calculate LCM of 70,49,897

7 70, 49, 897
10, 7, 897

∴ So the LCM of the given numbers is 7 x 10 x 7 x 897 = 439530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/439530

Therefore, the GCF of Fractions 458/70,644/49,367/897 is 1/439530

Least Common Multiple of 70,49,897 with GCF Formula

Least Common Multiple of 70,49,897 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 70,49,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,49,897) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(70,49,897) x common factors =1 x 7 = 7

LCM(70,49,897) = ( 70 × 49 × 897 ) / 7

LCM(70,49,897) = 3076710 / 7

LCM(70,49,897) = 439530


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 458/70, 644/49, 367/897

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 458/70, 644/49, 367/897?

Answer: GCF of Numerators as per given numbers 458/70, 644/49, 367/897 is

GCF of Numerators i.e. for 458,644,367 is 1

LCM of denominators i.e. for 70,49,897 is 439530.

Thus, GCF of Fractions is 1/439530.Finally, GCF of Fractions for 458/70, 644/49, 367/897 is 1/439530.