Greatest Common Factor of 9497/759, 1380/1606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9497/759, 1380/1606

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 9497/759,1380/1606

Given fractions are 9497/759,1380/1606

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 9497,1380

Greatest Common Factor of Numerators i.e. GCF of 9497,1380 is 1 .

LCM of Denominators means LCM of 759,1606 as per the given fractions.

LCM of 759,1606 is 110814 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9497,1380

GCF of Fractions 9497/759,1380/1606 is 1/110814

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

Greatest Common Factor of 9497,1380 By Matching Biggest Common Factor Method

Greatest Common Factor of 9497,1380 By Matching Biggest Common Factor Method

Factors of 9497

List of positive integer factors of 9497 that divides 9497 without a remainder.

1,9497

Factors of 1380

List of positive integer factors of 1380 that divides 1380 without a remainder.

1,2,3,4,5,6,10,12,15,20,23,30,46,60,69,92,115,138,230,276,345,460,690,1380

Greatest Common Factor

We found the factors 9497,1380 . The biggest common factor number is the GCF number.
So the greatest common factor 9497,1380 is 1.

Lets's calculate LCM of 759,1606

11 759, 1606
69, 146

∴ So the LCM of the given numbers is 11 x 69 x 146 = 110814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110814

Therefore, the GCF of Fractions 9497/759,1380/1606 is 1/110814

Least Common Multiple of 759,1606 with GCF Formula

Least Common Multiple of 759,1606 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 759,1606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,1606) = 11

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

GCF(759,1606) x common factors =11 x 1 = 11

LCM(759,1606) = ( 759 × 1606 ) / 11

LCM(759,1606) = 1218954 / 11

LCM(759,1606) = 110814


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 9497/759, 1380/1606

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 9497/759, 1380/1606?

Answer: GCF of Numerators as per given numbers 9497/759, 1380/1606 is

GCF of Numerators i.e. for 9497,1380 is 1

LCM of denominators i.e. for 759,1606 is 110814.

Thus, GCF of Fractions is 1/110814.Finally, GCF of Fractions for 9497/759, 1380/1606 is 1/110814.