LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 9137/240, 6702/7539

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 9137/240, 6702/7539 i.e 1/603120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9137/240, 6702/7539.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 9137/240,6702/7539?

Given fractions are 9137/240,6702/7539

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 9137/240,6702/7539, numerators are 9137,6702

Denominators are 240,7539

The GCF of 9137,6702 is 1 .

LCM of 240,7539 is 603120.

The greatest common factor of 9137/240,6702/7539 = [GCF of 9137,6702]/[LCM of 240,7539]= 1/603120

Therefore, the GCF of 9137/240,6702/7539 is 1/603120.

Greatest Common Factor of 9137,6702

To find the highest common factor of 9137,6702, we have to find the factors of both numbers and list the highest common factor.

The factors of 9137 are 1, 9137

The factors of 6702 are 1, 2, 3, 6, 1117, 2234, 3351, 6702

The HCF of 9137,6702 is 1.

Lets's calculate GCF of 9137,6702

Greatest Common Factor (GCF) of 9137,6702 By Common Division

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

Greatest Common Factor of 9137,6702 By Matching Biggest Common Factor Method

Greatest Common Factor of 9137,6702 By Matching Biggest Common Factor Method

Now, list down the factors of 9137

:

1,9137

Now, list down the factors of 6702

:

1,2,3,6,1117,2234,3351,6702

Greatest Common Factor

We found the factors 9137,6702 . The biggest common factor number is the GCF number.
So the greatest common factor 9137,6702 is 1.

Lets's calculate LCM of 240,7539

Lowest Common Multiple of 240,7539 using Common Division

3 240, 7539
80, 2513

∴ So the LCM of the given numbers is 3 x 80 x 2513 = 603120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/603120

Therefore, the GCF of Fractions 9137/240,6702/7539 is 1/603120

Least Common Multiple of 240,7539 with GCF Formula

Least Common Multiple of 240,7539 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 240,7539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,7539) = 3

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

GCF(240,7539) x common factors =3 x 1 = 3

LCM(240,7539) = ( 240 × 7539 ) / 3

LCM(240,7539) = 1809360 / 3

LCM(240,7539) = 603120


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9137/240, 6702/7539

1. What is the HCF of 9137,6702?

The HCF of 9137,6702 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 9137/240, 6702/7539?

Answer: GCF of Numerators as per given numbers 9137/240, 6702/7539 is

GCF of Numerators i.e. for 9137,6702 is 1

LCM of denominators i.e. for 240,7539 is 603120.

Thus, GCF of Fractions is 1/603120.Finally, GCF of Fractions for 9137/240, 6702/7539 is 1/603120.