Greatest Common Factor of 1647/345, 9659/2661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1647/345, 9659/2661

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 1647/345,9659/2661

Given fractions are 1647/345,9659/2661

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 1647,9659

Greatest Common Factor of Numerators i.e. GCF of 1647,9659 is 1 .

LCM of Denominators means LCM of 345,2661 as per the given fractions.

LCM of 345,2661 is 306015 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1647,9659

GCF of Fractions 1647/345,9659/2661 is 1/306015

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

Greatest Common Factor of 1647,9659 By Matching Biggest Common Factor Method

Greatest Common Factor of 1647,9659 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 9659

List of positive integer factors of 9659 that divides 9659 without a remainder.

1,13,743,9659

Greatest Common Factor

We found the factors 1647,9659 . The biggest common factor number is the GCF number.
So the greatest common factor 1647,9659 is 1.

Lets's calculate LCM of 345,2661

3 345, 2661
115, 887

∴ So the LCM of the given numbers is 3 x 115 x 887 = 306015

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/306015

Therefore, the GCF of Fractions 1647/345,9659/2661 is 1/306015

Least Common Multiple of 345,2661 with GCF Formula

Least Common Multiple of 345,2661 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 345,2661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,2661) = 3

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

GCF(345,2661) x common factors =3 x 1 = 3

LCM(345,2661) = ( 345 × 2661 ) / 3

LCM(345,2661) = 918045 / 3

LCM(345,2661) = 306015


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 1647/345, 9659/2661

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 1647/345, 9659/2661?

Answer: GCF of Numerators as per given numbers 1647/345, 9659/2661 is

GCF of Numerators i.e. for 1647,9659 is 1

LCM of denominators i.e. for 345,2661 is 306015.

Thus, GCF of Fractions is 1/306015.Finally, GCF of Fractions for 1647/345, 9659/2661 is 1/306015.