Greatest Common Factor of 7677/55, 1857/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7677/55, 1857/353

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 7677/55,1857/353

Given fractions are 7677/55,1857/353

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 7677,1857

Greatest Common Factor of Numerators i.e. GCF of 7677,1857 is 3 .

LCM of Denominators means LCM of 55,353 as per the given fractions.

LCM of 55,353 is 19415 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7677,1857

GCF of Fractions 7677/55,1857/353 is 3/19415

3 7677, 1857
2559, 619

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

Greatest Common Factor of 7677,1857 By Matching Biggest Common Factor Method

Greatest Common Factor of 7677,1857 By Matching Biggest Common Factor Method

Factors of 7677

List of positive integer factors of 7677 that divides 7677 without a remainder.

1,3,9,853,2559,7677

Factors of 1857

List of positive integer factors of 1857 that divides 1857 without a remainder.

1,3,619,1857

Greatest Common Factor

We found the factors 7677,1857 . The biggest common factor number is the GCF number.
So the greatest common factor 7677,1857 is 3.

Lets's calculate LCM of 55,353

Given numbers has no common factors except 1. So, there LCM is their product i.e 19415

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/19415

Therefore, the GCF of Fractions 7677/55,1857/353 is 3/19415

Least Common Multiple of 55,353 with GCF Formula

Least Common Multiple of 55,353 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 55,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,353) = 1

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

GCF(55,353) x common factors =1 x 1 = 1

LCM(55,353) = ( 55 × 353 ) / 1

LCM(55,353) = 19415 / 1

LCM(55,353) = 19415


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 7677/55, 1857/353

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 7677/55, 1857/353?

Answer: GCF of Numerators as per given numbers 7677/55, 1857/353 is

GCF of Numerators i.e. for 7677,1857 is 3

LCM of denominators i.e. for 55,353 is 19415.

Thus, GCF of Fractions is 3/19415.Finally, GCF of Fractions for 7677/55, 1857/353 is 3/19415.