Greatest Common Factor of 8189/140, 7324/7455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8189/140, 7324/7455

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 8189/140,7324/7455

Given fractions are 8189/140,7324/7455

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 8189,7324

Greatest Common Factor of Numerators i.e. GCF of 8189,7324 is 1 .

LCM of Denominators means LCM of 140,7455 as per the given fractions.

LCM of 140,7455 is 29820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8189,7324

GCF of Fractions 8189/140,7324/7455 is 1/29820

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

Greatest Common Factor of 8189,7324 By Matching Biggest Common Factor Method

Greatest Common Factor of 8189,7324 By Matching Biggest Common Factor Method

Factors of 8189

List of positive integer factors of 8189 that divides 8189 without a remainder.

1,19,431,8189

Factors of 7324

List of positive integer factors of 7324 that divides 7324 without a remainder.

1,2,4,1831,3662,7324

Greatest Common Factor

We found the factors 8189,7324 . The biggest common factor number is the GCF number.
So the greatest common factor 8189,7324 is 1.

Lets's calculate LCM of 140,7455

5 140, 7455
7 28, 1491
4, 213

∴ So the LCM of the given numbers is 5 x 7 x 4 x 213 = 29820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29820

Therefore, the GCF of Fractions 8189/140,7324/7455 is 1/29820

Least Common Multiple of 140,7455 with GCF Formula

Least Common Multiple of 140,7455 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 140,7455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,7455) = 35

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

GCF(140,7455) x common factors =35 x 1 = 35

LCM(140,7455) = ( 140 × 7455 ) / 35

LCM(140,7455) = 1043700 / 35

LCM(140,7455) = 29820


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 8189/140, 7324/7455

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 8189/140, 7324/7455?

Answer: GCF of Numerators as per given numbers 8189/140, 7324/7455 is

GCF of Numerators i.e. for 8189,7324 is 1

LCM of denominators i.e. for 140,7455 is 29820.

Thus, GCF of Fractions is 1/29820.Finally, GCF of Fractions for 8189/140, 7324/7455 is 1/29820.