Greatest Common Factor of 694/646, 4051/5686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 694/646, 4051/5686

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 694/646,4051/5686

Given fractions are 694/646,4051/5686

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 694,4051

Greatest Common Factor of Numerators i.e. GCF of 694,4051 is 1 .

LCM of Denominators means LCM of 646,5686 as per the given fractions.

LCM of 646,5686 is 1836578 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 694,4051

GCF of Fractions 694/646,4051/5686 is 1/1836578

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

Greatest Common Factor of 694,4051 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,4051 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 4051

List of positive integer factors of 4051 that divides 4051 without a remainder.

1,4051

Greatest Common Factor

We found the factors 694,4051 . The biggest common factor number is the GCF number.
So the greatest common factor 694,4051 is 1.

Lets's calculate LCM of 646,5686

2 646, 5686
323, 2843

∴ So the LCM of the given numbers is 2 x 323 x 2843 = 1836578

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1836578

Therefore, the GCF of Fractions 694/646,4051/5686 is 1/1836578

Least Common Multiple of 646,5686 with GCF Formula

Least Common Multiple of 646,5686 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 646,5686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,5686) = 2

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

GCF(646,5686) x common factors =2 x 1 = 2

LCM(646,5686) = ( 646 × 5686 ) / 2

LCM(646,5686) = 3673156 / 2

LCM(646,5686) = 1836578


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 694/646, 4051/5686

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 694/646, 4051/5686?

Answer: GCF of Numerators as per given numbers 694/646, 4051/5686 is

GCF of Numerators i.e. for 694,4051 is 1

LCM of denominators i.e. for 646,5686 is 1836578.

Thus, GCF of Fractions is 1/1836578.Finally, GCF of Fractions for 694/646, 4051/5686 is 1/1836578.