Greatest Common Factor of 140/289, 234/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 140/289, 234/207

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 140/289,234/207

Given fractions are 140/289,234/207

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 140,234

Greatest Common Factor of Numerators i.e. GCF of 140,234 is 2 .

LCM of Denominators means LCM of 289,207 as per the given fractions.

LCM of 289,207 is 59823 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 140,234

GCF of Fractions 140/289,234/207 is 2/59823

2 140, 234
70, 117

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 140,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,234 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 140,234 . The biggest common factor number is the GCF number.
So the greatest common factor 140,234 is 2.

Lets's calculate LCM of 289,207

Given numbers has no common factors except 1. So, there LCM is their product i.e 59823

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59823

Therefore, the GCF of Fractions 140/289,234/207 is 2/59823

Least Common Multiple of 289,207 with GCF Formula

Least Common Multiple of 289,207 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 289,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,207) = 1

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

GCF(289,207) x common factors =1 x 1 = 1

LCM(289,207) = ( 289 × 207 ) / 1

LCM(289,207) = 59823 / 1

LCM(289,207) = 59823


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 140/289, 234/207

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 140/289, 234/207?

Answer: GCF of Numerators as per given numbers 140/289, 234/207 is

GCF of Numerators i.e. for 140,234 is 2

LCM of denominators i.e. for 289,207 is 59823.

Thus, GCF of Fractions is 2/59823.Finally, GCF of Fractions for 140/289, 234/207 is 2/59823.