Greatest Common Factor of 232/735, 1027/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 232/735, 1027/170

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 232/735,1027/170

Given fractions are 232/735,1027/170

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 232,1027

Greatest Common Factor of Numerators i.e. GCF of 232,1027 is 1 .

LCM of Denominators means LCM of 735,170 as per the given fractions.

LCM of 735,170 is 24990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 232,1027

GCF of Fractions 232/735,1027/170 is 1/24990

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

Greatest Common Factor of 232,1027 By Matching Biggest Common Factor Method

Greatest Common Factor of 232,1027 By Matching Biggest Common Factor Method

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 1027

List of positive integer factors of 1027 that divides 1027 without a remainder.

1,13,79,1027

Greatest Common Factor

We found the factors 232,1027 . The biggest common factor number is the GCF number.
So the greatest common factor 232,1027 is 1.

Lets's calculate LCM of 735,170

5 735, 170
147, 34

∴ So the LCM of the given numbers is 5 x 147 x 34 = 24990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24990

Therefore, the GCF of Fractions 232/735,1027/170 is 1/24990

Least Common Multiple of 735,170 with GCF Formula

Least Common Multiple of 735,170 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 735,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,170) = 5

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

GCF(735,170) x common factors =5 x 1 = 5

LCM(735,170) = ( 735 × 170 ) / 5

LCM(735,170) = 124950 / 5

LCM(735,170) = 24990


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 232/735, 1027/170

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 232/735, 1027/170?

Answer: GCF of Numerators as per given numbers 232/735, 1027/170 is

GCF of Numerators i.e. for 232,1027 is 1

LCM of denominators i.e. for 735,170 is 24990.

Thus, GCF of Fractions is 1/24990.Finally, GCF of Fractions for 232/735, 1027/170 is 1/24990.