Greatest Common Factor of 53/74, 167/17, 698/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 53/74, 167/17, 698/13

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 53/74,167/17,698/13

Given fractions are 53/74,167/17,698/13

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 53,167,698

Greatest Common Factor of Numerators i.e. GCF of 53,167,698 is 1 .

LCM of Denominators means LCM of 74,17,13 as per the given fractions.

LCM of 74,17,13 is 16354 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,167,698

GCF of Fractions 53/74,167/17,698/13 is 1/16354

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

Greatest Common Factor of 53,167,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,167,698 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 53,167,698 . The biggest common factor number is the GCF number.
So the greatest common factor 53,167,698 is 1.

Lets's calculate LCM of 74,17,13

Given numbers has no common factors except 1. So, there LCM is their product i.e 16354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16354

Therefore, the GCF of Fractions 53/74,167/17,698/13 is 1/16354

Least Common Multiple of 74,17,13 with GCF Formula

Least Common Multiple of 74,17,13 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 74,17,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,17,13) = 1

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

GCF(74,17,13) x common factors =1 x 1 = 1

LCM(74,17,13) = ( 74 × 17 × 13 ) / 1

LCM(74,17,13) = 16354 / 1

LCM(74,17,13) = 16354


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 53/74, 167/17, 698/13

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 53/74, 167/17, 698/13?

Answer: GCF of Numerators as per given numbers 53/74, 167/17, 698/13 is

GCF of Numerators i.e. for 53,167,698 is 1

LCM of denominators i.e. for 74,17,13 is 16354.

Thus, GCF of Fractions is 1/16354.Finally, GCF of Fractions for 53/74, 167/17, 698/13 is 1/16354.