Greatest Common Factor of 1617/680, 9537/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1617/680, 9537/757

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 1617/680,9537/757

Given fractions are 1617/680,9537/757

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 1617,9537

Greatest Common Factor of Numerators i.e. GCF of 1617,9537 is 33 .

LCM of Denominators means LCM of 680,757 as per the given fractions.

LCM of 680,757 is 514760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1617,9537

GCF of Fractions 1617/680,9537/757 is 33/514760

3 1617, 9537
11 539, 3179
49, 289

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 1617,9537 By Matching Biggest Common Factor Method

Greatest Common Factor of 1617,9537 By Matching Biggest Common Factor Method

Factors of 1617

List of positive integer factors of 1617 that divides 1617 without a remainder.

1,3,7,11,21,33,49,77,147,231,539,1617

Factors of 9537

List of positive integer factors of 9537 that divides 9537 without a remainder.

1,3,11,17,33,51,187,289,561,867,3179,9537

Greatest Common Factor

We found the factors 1617,9537 . The biggest common factor number is the GCF number.
So the greatest common factor 1617,9537 is 33.

Lets's calculate LCM of 680,757

Given numbers has no common factors except 1. So, there LCM is their product i.e 514760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/514760

Therefore, the GCF of Fractions 1617/680,9537/757 is 33/514760

Least Common Multiple of 680,757 with GCF Formula

Least Common Multiple of 680,757 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 680,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,757) = 1

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

GCF(680,757) x common factors =1 x 1 = 1

LCM(680,757) = ( 680 × 757 ) / 1

LCM(680,757) = 514760 / 1

LCM(680,757) = 514760


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 1617/680, 9537/757

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 1617/680, 9537/757?

Answer: GCF of Numerators as per given numbers 1617/680, 9537/757 is

GCF of Numerators i.e. for 1617,9537 is 33

LCM of denominators i.e. for 680,757 is 514760.

Thus, GCF of Fractions is 33/514760.Finally, GCF of Fractions for 1617/680, 9537/757 is 33/514760.