Greatest Common Factor of 1647/35, 9531/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1647/35, 9531/377

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 1647/35,9531/377

Given fractions are 1647/35,9531/377

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 1647,9531

Greatest Common Factor of Numerators i.e. GCF of 1647,9531 is 27 .

LCM of Denominators means LCM of 35,377 as per the given fractions.

LCM of 35,377 is 13195 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1647,9531

GCF of Fractions 1647/35,9531/377 is 27/13195

3 1647, 9531
3 549, 3177
3 183, 1059
61, 353

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 1647,9531 By Matching Biggest Common Factor Method

Greatest Common Factor of 1647,9531 By Matching Biggest Common Factor Method

Factors of 1647

List of positive integer factors of 1647 that divides 1647 without a remainder.

1,3,9,27,61,183,549,1647

Factors of 9531

List of positive integer factors of 9531 that divides 9531 without a remainder.

1,3,9,27,353,1059,3177,9531

Greatest Common Factor

We found the factors 1647,9531 . The biggest common factor number is the GCF number.
So the greatest common factor 1647,9531 is 27.

Lets's calculate LCM of 35,377

Given numbers has no common factors except 1. So, there LCM is their product i.e 13195

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/13195

Therefore, the GCF of Fractions 1647/35,9531/377 is 27/13195

Least Common Multiple of 35,377 with GCF Formula

Least Common Multiple of 35,377 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 35,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,377) = 1

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

GCF(35,377) x common factors =1 x 1 = 1

LCM(35,377) = ( 35 × 377 ) / 1

LCM(35,377) = 13195 / 1

LCM(35,377) = 13195


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 1647/35, 9531/377

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 1647/35, 9531/377?

Answer: GCF of Numerators as per given numbers 1647/35, 9531/377 is

GCF of Numerators i.e. for 1647,9531 is 27

LCM of denominators i.e. for 35,377 is 13195.

Thus, GCF of Fractions is 27/13195.Finally, GCF of Fractions for 1647/35, 9531/377 is 27/13195.