Greatest Common Factor of 1597/949, 9375/2470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1597/949, 9375/2470

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 1597/949,9375/2470

Given fractions are 1597/949,9375/2470

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 1597,9375

Greatest Common Factor of Numerators i.e. GCF of 1597,9375 is 1 .

LCM of Denominators means LCM of 949,2470 as per the given fractions.

LCM of 949,2470 is 180310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1597,9375

GCF of Fractions 1597/949,9375/2470 is 1/180310

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

Greatest Common Factor of 1597,9375 By Matching Biggest Common Factor Method

Greatest Common Factor of 1597,9375 By Matching Biggest Common Factor Method

Factors of 1597

List of positive integer factors of 1597 that divides 1597 without a remainder.

1,1597

Factors of 9375

List of positive integer factors of 9375 that divides 9375 without a remainder.

1,3,5,15,25,75,125,375,625,1875,3125,9375

Greatest Common Factor

We found the factors 1597,9375 . The biggest common factor number is the GCF number.
So the greatest common factor 1597,9375 is 1.

Lets's calculate LCM of 949,2470

13 949, 2470
73, 190

∴ So the LCM of the given numbers is 13 x 73 x 190 = 180310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180310

Therefore, the GCF of Fractions 1597/949,9375/2470 is 1/180310

Least Common Multiple of 949,2470 with GCF Formula

Least Common Multiple of 949,2470 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 949,2470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(949,2470) = 13

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

GCF(949,2470) x common factors =13 x 1 = 13

LCM(949,2470) = ( 949 × 2470 ) / 13

LCM(949,2470) = 2344030 / 13

LCM(949,2470) = 180310


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 1597/949, 9375/2470

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 1597/949, 9375/2470?

Answer: GCF of Numerators as per given numbers 1597/949, 9375/2470 is

GCF of Numerators i.e. for 1597,9375 is 1

LCM of denominators i.e. for 949,2470 is 180310.

Thus, GCF of Fractions is 1/180310.Finally, GCF of Fractions for 1597/949, 9375/2470 is 1/180310.