Greatest Common Factor of 35/667, 5817/1834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/667, 5817/1834

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 35/667,5817/1834

Given fractions are 35/667,5817/1834

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 35,5817

Greatest Common Factor of Numerators i.e. GCF of 35,5817 is 7 .

LCM of Denominators means LCM of 667,1834 as per the given fractions.

LCM of 667,1834 is 1223278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,5817

GCF of Fractions 35/667,5817/1834 is 7/1223278

7 35, 5817
5, 831

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 35,5817 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,5817 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 5817

List of positive integer factors of 5817 that divides 5817 without a remainder.

1,3,7,21,277,831,1939,5817

Greatest Common Factor

We found the factors 35,5817 . The biggest common factor number is the GCF number.
So the greatest common factor 35,5817 is 7.

Lets's calculate LCM of 667,1834

Given numbers has no common factors except 1. So, there LCM is their product i.e 1223278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1223278

Therefore, the GCF of Fractions 35/667,5817/1834 is 7/1223278

Least Common Multiple of 667,1834 with GCF Formula

Least Common Multiple of 667,1834 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 667,1834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,1834) = 1

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

GCF(667,1834) x common factors =1 x 1 = 1

LCM(667,1834) = ( 667 × 1834 ) / 1

LCM(667,1834) = 1223278 / 1

LCM(667,1834) = 1223278


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 35/667, 5817/1834

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 35/667, 5817/1834?

Answer: GCF of Numerators as per given numbers 35/667, 5817/1834 is

GCF of Numerators i.e. for 35,5817 is 7

LCM of denominators i.e. for 667,1834 is 1223278.

Thus, GCF of Fractions is 7/1223278.Finally, GCF of Fractions for 35/667, 5817/1834 is 7/1223278.