How to Find GCF of 9159/937, 7175/9189?

GCF of 9159/937, 7175/9189

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 9159/937, 7175/9189 i.e 1/8610093 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9159/937, 7175/9189.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9159/937,7175/9189?

Given fractions are 9159/937,7175/9189

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9159/937,7175/9189, numerators are 9159,7175

Denominators are 937,9189

The GCF of 9159,7175 is 1 .

LCM of 937,9189 is 8610093.

The greatest common factor of 9159/937,7175/9189 = [GCF of 9159,7175]/[LCM of 937,9189]= 1/8610093

Therefore, the GCF of 9159/937,7175/9189 is 1/8610093.

Greatest Common Factor of 9159,7175

To find the highest common factor of 9159,7175, we have to find the factors of both numbers and list the highest common factor.

The factors of 9159 are 1, 3, 43, 71, 129, 213, 3053, 9159

The factors of 7175 are 1, 5, 7, 25, 35, 41, 175, 205, 287, 1025, 1435, 7175

The HCF of 9159,7175 is 1.

Lets's calculate GCF of 9159,7175

Greatest Common Factor (GCF) of 9159,7175 By Common Division

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

Greatest Common Factor of 9159,7175 By Matching Biggest Common Factor Method

Now, list down the factors of 9159

1,3,43,71,129,213,3053,9159

Now, list down the factors of 7175

1,5,7,25,35,41,175,205,287,1025,1435,7175

Greatest Common Factor

We found the factors 9159,7175 . The biggest common factor number is the GCF number.
So the greatest common factor 9159,7175 is 1.

Lets's calculate LCM of 937,9189

Lowest Common Multiple of 937,9189 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8610093

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8610093

Therefore, the GCF of Fractions 9159/937,7175/9189 is 1/8610093

Least Common Multiple of 937,9189 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 937,9189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(937,9189) = 1

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

GCF(937,9189) x common factors =1 x 1 = 1

LCM(937,9189) = ( 937 × 9189 ) / 1

LCM(937,9189) = 8610093 / 1

LCM(937,9189) = 8610093

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9159/937, 7175/9189

1. What is the HCF of 9159,7175?

The HCF of 9159,7175 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 9159/937, 7175/9189?

Answer: GCF of Numerators as per given numbers 9159/937, 7175/9189 is

GCF of Numerators i.e. for 9159,7175 is 1

LCM of denominators i.e. for 937,9189 is 8610093.

Thus, GCF of Fractions is 1/8610093.Finally, GCF of Fractions for 9159/937, 7175/9189 is 1/8610093.