Greatest Common Factor of 1507/405, 9646/9959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1507/405, 9646/9959

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 1507/405,9646/9959

Given fractions are 1507/405,9646/9959

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 1507,9646

Greatest Common Factor of Numerators i.e. GCF of 1507,9646 is 1 .

LCM of Denominators means LCM of 405,9959 as per the given fractions.

LCM of 405,9959 is 4033395 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1507,9646

GCF of Fractions 1507/405,9646/9959 is 1/4033395

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

Greatest Common Factor of 1507,9646 By Matching Biggest Common Factor Method

Greatest Common Factor of 1507,9646 By Matching Biggest Common Factor Method

Factors of 1507

List of positive integer factors of 1507 that divides 1507 without a remainder.

1,11,137,1507

Factors of 9646

List of positive integer factors of 9646 that divides 9646 without a remainder.

1,2,7,13,14,26,53,91,106,182,371,689,742,1378,4823,9646

Greatest Common Factor

We found the factors 1507,9646 . The biggest common factor number is the GCF number.
So the greatest common factor 1507,9646 is 1.

Lets's calculate LCM of 405,9959

Given numbers has no common factors except 1. So, there LCM is their product i.e 4033395

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4033395

Therefore, the GCF of Fractions 1507/405,9646/9959 is 1/4033395

Least Common Multiple of 405,9959 with GCF Formula

Least Common Multiple of 405,9959 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 405,9959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,9959) = 1

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

GCF(405,9959) x common factors =1 x 1 = 1

LCM(405,9959) = ( 405 × 9959 ) / 1

LCM(405,9959) = 4033395 / 1

LCM(405,9959) = 4033395


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 1507/405, 9646/9959

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 1507/405, 9646/9959?

Answer: GCF of Numerators as per given numbers 1507/405, 9646/9959 is

GCF of Numerators i.e. for 1507,9646 is 1

LCM of denominators i.e. for 405,9959 is 4033395.

Thus, GCF of Fractions is 1/4033395.Finally, GCF of Fractions for 1507/405, 9646/9959 is 1/4033395.