Greatest Common Factor of 672/31, 526/19, 279/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 672/31, 526/19, 279/687

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 672/31,526/19,279/687

Given fractions are 672/31,526/19,279/687

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 672,526,279

Greatest Common Factor of Numerators i.e. GCF of 672,526,279 is 1 .

LCM of Denominators means LCM of 31,19,687 as per the given fractions.

LCM of 31,19,687 is 404643 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 672,526,279

GCF of Fractions 672/31,526/19,279/687 is 1/404643

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

Greatest Common Factor of 672,526,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,526,279 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 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 672,526,279 . The biggest common factor number is the GCF number.
So the greatest common factor 672,526,279 is 1.

Lets's calculate LCM of 31,19,687

Given numbers has no common factors except 1. So, there LCM is their product i.e 404643

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/404643

Therefore, the GCF of Fractions 672/31,526/19,279/687 is 1/404643

Least Common Multiple of 31,19,687 with GCF Formula

Least Common Multiple of 31,19,687 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 31,19,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,19,687) = 1

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

GCF(31,19,687) x common factors =1 x 1 = 1

LCM(31,19,687) = ( 31 × 19 × 687 ) / 1

LCM(31,19,687) = 404643 / 1

LCM(31,19,687) = 404643


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 672/31, 526/19, 279/687

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 672/31, 526/19, 279/687?

Answer: GCF of Numerators as per given numbers 672/31, 526/19, 279/687 is

GCF of Numerators i.e. for 672,526,279 is 1

LCM of denominators i.e. for 31,19,687 is 404643.

Thus, GCF of Fractions is 1/404643.Finally, GCF of Fractions for 672/31, 526/19, 279/687 is 1/404643.