Greatest Common Factor of 235/76, 698/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 235/76, 698/165

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 235/76,698/165

Given fractions are 235/76,698/165

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 235,698

Greatest Common Factor of Numerators i.e. GCF of 235,698 is 1 .

LCM of Denominators means LCM of 76,165 as per the given fractions.

LCM of 76,165 is 12540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 235,698

GCF of Fractions 235/76,698/165 is 1/12540

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

Greatest Common Factor of 235,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 235,698 By Matching Biggest Common Factor Method

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

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 235,698 . The biggest common factor number is the GCF number.
So the greatest common factor 235,698 is 1.

Lets's calculate LCM of 76,165

Given numbers has no common factors except 1. So, there LCM is their product i.e 12540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12540

Therefore, the GCF of Fractions 235/76,698/165 is 1/12540

Least Common Multiple of 76,165 with GCF Formula

Least Common Multiple of 76,165 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 76,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,165) = 1

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

GCF(76,165) x common factors =1 x 1 = 1

LCM(76,165) = ( 76 × 165 ) / 1

LCM(76,165) = 12540 / 1

LCM(76,165) = 12540


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 235/76, 698/165

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 235/76, 698/165?

Answer: GCF of Numerators as per given numbers 235/76, 698/165 is

GCF of Numerators i.e. for 235,698 is 1

LCM of denominators i.e. for 76,165 is 12540.

Thus, GCF of Fractions is 1/12540.Finally, GCF of Fractions for 235/76, 698/165 is 1/12540.