Greatest Common Factor of 170/53, 259/25, 531/98

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 170/53, 259/25, 531/98

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 170/53,259/25,531/98

Given fractions are 170/53,259/25,531/98

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 170,259,531

Greatest Common Factor of Numerators i.e. GCF of 170,259,531 is 1 .

LCM of Denominators means LCM of 53,25,98 as per the given fractions.

LCM of 53,25,98 is 129850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 170,259,531

GCF of Fractions 170/53,259/25,531/98 is 1/129850

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

Greatest Common Factor of 170,259,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,259,531 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 531

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

1,3,9,59,177,531

Greatest Common Factor

We found the factors 170,259,531 . The biggest common factor number is the GCF number.
So the greatest common factor 170,259,531 is 1.

Lets's calculate LCM of 53,25,98

Given numbers has no common factors except 1. So, there LCM is their product i.e 129850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129850

Therefore, the GCF of Fractions 170/53,259/25,531/98 is 1/129850

Least Common Multiple of 53,25,98 with GCF Formula

Least Common Multiple of 53,25,98 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 53,25,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,25,98) = 1

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

GCF(53,25,98) x common factors =1 x 1 = 1

LCM(53,25,98) = ( 53 × 25 × 98 ) / 1

LCM(53,25,98) = 129850 / 1

LCM(53,25,98) = 129850


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 170/53, 259/25, 531/98

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 170/53, 259/25, 531/98?

Answer: GCF of Numerators as per given numbers 170/53, 259/25, 531/98 is

GCF of Numerators i.e. for 170,259,531 is 1

LCM of denominators i.e. for 53,25,98 is 129850.

Thus, GCF of Fractions is 1/129850.Finally, GCF of Fractions for 170/53, 259/25, 531/98 is 1/129850.