Greatest Common Factor of 672/58, 226/40, 464/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 672/58, 226/40, 464/997

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 672/58,226/40,464/997

Given fractions are 672/58,226/40,464/997

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 672,226,464

Greatest Common Factor of Numerators i.e. GCF of 672,226,464 is 2 .

LCM of Denominators means LCM of 58,40,997 as per the given fractions.

LCM of 58,40,997 is 1156520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 672,226,464

GCF of Fractions 672/58,226/40,464/997 is 2/1156520

2 672, 226, 464
336, 113, 232

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 672,226,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,226,464 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 672,226,464 . The biggest common factor number is the GCF number.
So the greatest common factor 672,226,464 is 2.

Lets's calculate LCM of 58,40,997

2 58, 40, 997
29, 20, 997

∴ So the LCM of the given numbers is 2 x 29 x 20 x 997 = 1156520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1156520

Therefore, the GCF of Fractions 672/58,226/40,464/997 is 2/1156520

Least Common Multiple of 58,40,997 with GCF Formula

Least Common Multiple of 58,40,997 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 58,40,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,40,997) = 1

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

GCF(58,40,997) x common factors =1 x 2 = 2

LCM(58,40,997) = ( 58 × 40 × 997 ) / 2

LCM(58,40,997) = 2313040 / 2

LCM(58,40,997) = 1156520


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 672/58, 226/40, 464/997

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 672/58, 226/40, 464/997?

Answer: GCF of Numerators as per given numbers 672/58, 226/40, 464/997 is

GCF of Numerators i.e. for 672,226,464 is 2

LCM of denominators i.e. for 58,40,997 is 1156520.

Thus, GCF of Fractions is 2/1156520.Finally, GCF of Fractions for 672/58, 226/40, 464/997 is 2/1156520.