Greatest Common Factor of 1465/20, 9507/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1465/20, 9507/837

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 1465/20,9507/837

Given fractions are 1465/20,9507/837

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 1465,9507

Greatest Common Factor of Numerators i.e. GCF of 1465,9507 is 1 .

LCM of Denominators means LCM of 20,837 as per the given fractions.

LCM of 20,837 is 16740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1465,9507

GCF of Fractions 1465/20,9507/837 is 1/16740

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

Greatest Common Factor of 1465,9507 By Matching Biggest Common Factor Method

Greatest Common Factor of 1465,9507 By Matching Biggest Common Factor Method

Factors of 1465

List of positive integer factors of 1465 that divides 1465 without a remainder.

1,5,293,1465

Factors of 9507

List of positive integer factors of 9507 that divides 9507 without a remainder.

1,3,3169,9507

Greatest Common Factor

We found the factors 1465,9507 . The biggest common factor number is the GCF number.
So the greatest common factor 1465,9507 is 1.

Lets's calculate LCM of 20,837

Given numbers has no common factors except 1. So, there LCM is their product i.e 16740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16740

Therefore, the GCF of Fractions 1465/20,9507/837 is 1/16740

Least Common Multiple of 20,837 with GCF Formula

Least Common Multiple of 20,837 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 20,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,837) = 1

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

GCF(20,837) x common factors =1 x 1 = 1

LCM(20,837) = ( 20 × 837 ) / 1

LCM(20,837) = 16740 / 1

LCM(20,837) = 16740


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 1465/20, 9507/837

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 1465/20, 9507/837?

Answer: GCF of Numerators as per given numbers 1465/20, 9507/837 is

GCF of Numerators i.e. for 1465,9507 is 1

LCM of denominators i.e. for 20,837 is 16740.

Thus, GCF of Fractions is 1/16740.Finally, GCF of Fractions for 1465/20, 9507/837 is 1/16740.