Greatest Common Factor of 3455/851, 2090/6790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3455/851, 2090/6790

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 3455/851,2090/6790

Given fractions are 3455/851,2090/6790

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 3455,2090

Greatest Common Factor of Numerators i.e. GCF of 3455,2090 is 5 .

LCM of Denominators means LCM of 851,6790 as per the given fractions.

LCM of 851,6790 is 5778290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3455,2090

GCF of Fractions 3455/851,2090/6790 is 5/5778290

5 3455, 2090
691, 418

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3455,2090 By Matching Biggest Common Factor Method

Greatest Common Factor of 3455,2090 By Matching Biggest Common Factor Method

Factors of 3455

List of positive integer factors of 3455 that divides 3455 without a remainder.

1,5,691,3455

Factors of 2090

List of positive integer factors of 2090 that divides 2090 without a remainder.

1,2,5,10,11,19,22,38,55,95,110,190,209,418,1045,2090

Greatest Common Factor

We found the factors 3455,2090 . The biggest common factor number is the GCF number.
So the greatest common factor 3455,2090 is 5.

Lets's calculate LCM of 851,6790

Given numbers has no common factors except 1. So, there LCM is their product i.e 5778290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5778290

Therefore, the GCF of Fractions 3455/851,2090/6790 is 5/5778290

Least Common Multiple of 851,6790 with GCF Formula

Least Common Multiple of 851,6790 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 851,6790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(851,6790) = 1

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

GCF(851,6790) x common factors =1 x 1 = 1

LCM(851,6790) = ( 851 × 6790 ) / 1

LCM(851,6790) = 5778290 / 1

LCM(851,6790) = 5778290


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 3455/851, 2090/6790

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 3455/851, 2090/6790?

Answer: GCF of Numerators as per given numbers 3455/851, 2090/6790 is

GCF of Numerators i.e. for 3455,2090 is 5

LCM of denominators i.e. for 851,6790 is 5778290.

Thus, GCF of Fractions is 5/5778290.Finally, GCF of Fractions for 3455/851, 2090/6790 is 5/5778290.