Greatest Common Factor of 671/35, 689/51, 523/24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 671/35, 689/51, 523/24

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 671/35,689/51,523/24

Given fractions are 671/35,689/51,523/24

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 671,689,523

Greatest Common Factor of Numerators i.e. GCF of 671,689,523 is 1 .

LCM of Denominators means LCM of 35,51,24 as per the given fractions.

LCM of 35,51,24 is 14280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 671,689,523

GCF of Fractions 671/35,689/51,523/24 is 1/14280

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

Greatest Common Factor of 671,689,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 671,689,523 By Matching Biggest Common Factor Method

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 671,689,523 . The biggest common factor number is the GCF number.
So the greatest common factor 671,689,523 is 1.

Lets's calculate LCM of 35,51,24

3 35, 51, 24
35, 17, 8

∴ So the LCM of the given numbers is 3 x 35 x 17 x 8 = 14280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14280

Therefore, the GCF of Fractions 671/35,689/51,523/24 is 1/14280

Least Common Multiple of 35,51,24 with GCF Formula

Least Common Multiple of 35,51,24 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 35,51,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,51,24) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(35,51,24) x common factors =1 x 3 = 3

LCM(35,51,24) = ( 35 × 51 × 24 ) / 3

LCM(35,51,24) = 42840 / 3

LCM(35,51,24) = 14280


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 671/35, 689/51, 523/24

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 671/35, 689/51, 523/24?

Answer: GCF of Numerators as per given numbers 671/35, 689/51, 523/24 is

GCF of Numerators i.e. for 671,689,523 is 1

LCM of denominators i.e. for 35,51,24 is 14280.

Thus, GCF of Fractions is 1/14280.Finally, GCF of Fractions for 671/35, 689/51, 523/24 is 1/14280.