Greatest Common Factor of 1590/959, 7615/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1590/959, 7615/343

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 1590/959,7615/343

Given fractions are 1590/959,7615/343

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 1590,7615

Greatest Common Factor of Numerators i.e. GCF of 1590,7615 is 5 .

LCM of Denominators means LCM of 959,343 as per the given fractions.

LCM of 959,343 is 46991 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1590,7615

GCF of Fractions 1590/959,7615/343 is 5/46991

5 1590, 7615
318, 1523

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1590,7615 By Matching Biggest Common Factor Method

Greatest Common Factor of 1590,7615 By Matching Biggest Common Factor Method

Factors of 1590

List of positive integer factors of 1590 that divides 1590 without a remainder.

1,2,3,5,6,10,15,30,53,106,159,265,318,530,795,1590

Factors of 7615

List of positive integer factors of 7615 that divides 7615 without a remainder.

1,5,1523,7615

Greatest Common Factor

We found the factors 1590,7615 . The biggest common factor number is the GCF number.
So the greatest common factor 1590,7615 is 5.

Lets's calculate LCM of 959,343

7 959, 343
137, 49

∴ So the LCM of the given numbers is 7 x 137 x 49 = 46991

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/46991

Therefore, the GCF of Fractions 1590/959,7615/343 is 5/46991

Least Common Multiple of 959,343 with GCF Formula

Least Common Multiple of 959,343 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 959,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,343) = 7

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

GCF(959,343) x common factors =7 x 1 = 7

LCM(959,343) = ( 959 × 343 ) / 7

LCM(959,343) = 328937 / 7

LCM(959,343) = 46991


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 1590/959, 7615/343

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 1590/959, 7615/343?

Answer: GCF of Numerators as per given numbers 1590/959, 7615/343 is

GCF of Numerators i.e. for 1590,7615 is 5

LCM of denominators i.e. for 959,343 is 46991.

Thus, GCF of Fractions is 5/46991.Finally, GCF of Fractions for 1590/959, 7615/343 is 5/46991.