Greatest Common Factor of 694/45, 986/1351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 694/45, 986/1351

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 694/45,986/1351

Given fractions are 694/45,986/1351

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 694,986

Greatest Common Factor of Numerators i.e. GCF of 694,986 is 2 .

LCM of Denominators means LCM of 45,1351 as per the given fractions.

LCM of 45,1351 is 60795 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 694,986

GCF of Fractions 694/45,986/1351 is 2/60795

2 694, 986
347, 493

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

Greatest Common Factor of 694,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,986 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 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 694,986 . The biggest common factor number is the GCF number.
So the greatest common factor 694,986 is 2.

Lets's calculate LCM of 45,1351

Given numbers has no common factors except 1. So, there LCM is their product i.e 60795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60795

Therefore, the GCF of Fractions 694/45,986/1351 is 2/60795

Least Common Multiple of 45,1351 with GCF Formula

Least Common Multiple of 45,1351 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 45,1351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,1351) = 1

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

GCF(45,1351) x common factors =1 x 1 = 1

LCM(45,1351) = ( 45 × 1351 ) / 1

LCM(45,1351) = 60795 / 1

LCM(45,1351) = 60795


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 694/45, 986/1351

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 694/45, 986/1351?

Answer: GCF of Numerators as per given numbers 694/45, 986/1351 is

GCF of Numerators i.e. for 694,986 is 2

LCM of denominators i.e. for 45,1351 is 60795.

Thus, GCF of Fractions is 2/60795.Finally, GCF of Fractions for 694/45, 986/1351 is 2/60795.