Greatest Common Factor of 674/55, 686/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 674/55, 686/407

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 674/55,686/407

Given fractions are 674/55,686/407

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 674,686

Greatest Common Factor of Numerators i.e. GCF of 674,686 is 2 .

LCM of Denominators means LCM of 55,407 as per the given fractions.

LCM of 55,407 is 2035 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 674,686

GCF of Fractions 674/55,686/407 is 2/2035

2 674, 686
337, 343

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 674,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,686 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 674,686 . The biggest common factor number is the GCF number.
So the greatest common factor 674,686 is 2.

Lets's calculate LCM of 55,407

11 55, 407
5, 37

∴ So the LCM of the given numbers is 11 x 5 x 37 = 2035

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2035

Therefore, the GCF of Fractions 674/55,686/407 is 2/2035

Least Common Multiple of 55,407 with GCF Formula

Least Common Multiple of 55,407 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 55,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,407) = 11

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

GCF(55,407) x common factors =11 x 1 = 11

LCM(55,407) = ( 55 × 407 ) / 11

LCM(55,407) = 22385 / 11

LCM(55,407) = 2035


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 674/55, 686/407

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 674/55, 686/407?

Answer: GCF of Numerators as per given numbers 674/55, 686/407 is

GCF of Numerators i.e. for 674,686 is 2

LCM of denominators i.e. for 55,407 is 2035.

Thus, GCF of Fractions is 2/2035.Finally, GCF of Fractions for 674/55, 686/407 is 2/2035.