Greatest Common Factor of 3475/35, 6889/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3475/35, 6889/623

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 3475/35,6889/623

Given fractions are 3475/35,6889/623

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 3475,6889

Greatest Common Factor of Numerators i.e. GCF of 3475,6889 is 1 .

LCM of Denominators means LCM of 35,623 as per the given fractions.

LCM of 35,623 is 3115 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3475,6889

GCF of Fractions 3475/35,6889/623 is 1/3115

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

Greatest Common Factor of 3475,6889 By Matching Biggest Common Factor Method

Greatest Common Factor of 3475,6889 By Matching Biggest Common Factor Method

Factors of 3475

List of positive integer factors of 3475 that divides 3475 without a remainder.

1,5,25,139,695,3475

Factors of 6889

List of positive integer factors of 6889 that divides 6889 without a remainder.

1,83,6889

Greatest Common Factor

We found the factors 3475,6889 . The biggest common factor number is the GCF number.
So the greatest common factor 3475,6889 is 1.

Lets's calculate LCM of 35,623

7 35, 623
5, 89

∴ So the LCM of the given numbers is 7 x 5 x 89 = 3115

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3115

Therefore, the GCF of Fractions 3475/35,6889/623 is 1/3115

Least Common Multiple of 35,623 with GCF Formula

Least Common Multiple of 35,623 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 35,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,623) = 7

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

GCF(35,623) x common factors =7 x 1 = 7

LCM(35,623) = ( 35 × 623 ) / 7

LCM(35,623) = 21805 / 7

LCM(35,623) = 3115


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 3475/35, 6889/623

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 3475/35, 6889/623?

Answer: GCF of Numerators as per given numbers 3475/35, 6889/623 is

GCF of Numerators i.e. for 3475,6889 is 1

LCM of denominators i.e. for 35,623 is 3115.

Thus, GCF of Fractions is 1/3115.Finally, GCF of Fractions for 3475/35, 6889/623 is 1/3115.