Greatest Common Factor of 531/58, 705/15, 352/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 531/58, 705/15, 352/658

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 531/58,705/15,352/658

Given fractions are 531/58,705/15,352/658

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 531,705,352

Greatest Common Factor of Numerators i.e. GCF of 531,705,352 is 1 .

LCM of Denominators means LCM of 58,15,658 as per the given fractions.

LCM of 58,15,658 is 286230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 531,705,352

GCF of Fractions 531/58,705/15,352/658 is 1/286230

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

Greatest Common Factor of 531,705,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,705,352 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 531,705,352 . The biggest common factor number is the GCF number.
So the greatest common factor 531,705,352 is 1.

Lets's calculate LCM of 58,15,658

2 58, 15, 658
29, 15, 329

∴ So the LCM of the given numbers is 2 x 29 x 15 x 329 = 286230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286230

Therefore, the GCF of Fractions 531/58,705/15,352/658 is 1/286230

Least Common Multiple of 58,15,658 with GCF Formula

Least Common Multiple of 58,15,658 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 58,15,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,15,658) = 1

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

GCF(58,15,658) x common factors =1 x 2 = 2

LCM(58,15,658) = ( 58 × 15 × 658 ) / 2

LCM(58,15,658) = 572460 / 2

LCM(58,15,658) = 286230


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 531/58, 705/15, 352/658

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 531/58, 705/15, 352/658?

Answer: GCF of Numerators as per given numbers 531/58, 705/15, 352/658 is

GCF of Numerators i.e. for 531,705,352 is 1

LCM of denominators i.e. for 58,15,658 is 286230.

Thus, GCF of Fractions is 1/286230.Finally, GCF of Fractions for 531/58, 705/15, 352/658 is 1/286230.