Greatest Common Factor of 606/734, 8906/7978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 606/734, 8906/7978

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 606/734,8906/7978

Given fractions are 606/734,8906/7978

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 606,8906

Greatest Common Factor of Numerators i.e. GCF of 606,8906 is 2 .

LCM of Denominators means LCM of 734,7978 as per the given fractions.

LCM of 734,7978 is 2927926 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 606,8906

GCF of Fractions 606/734,8906/7978 is 2/2927926

2 606, 8906
303, 4453

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

Greatest Common Factor of 606,8906 By Matching Biggest Common Factor Method

Greatest Common Factor of 606,8906 By Matching Biggest Common Factor Method

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 8906

List of positive integer factors of 8906 that divides 8906 without a remainder.

1,2,61,73,122,146,4453,8906

Greatest Common Factor

We found the factors 606,8906 . The biggest common factor number is the GCF number.
So the greatest common factor 606,8906 is 2.

Lets's calculate LCM of 734,7978

2 734, 7978
367, 3989

∴ So the LCM of the given numbers is 2 x 367 x 3989 = 2927926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2927926

Therefore, the GCF of Fractions 606/734,8906/7978 is 2/2927926

Least Common Multiple of 734,7978 with GCF Formula

Least Common Multiple of 734,7978 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 734,7978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,7978) = 2

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

GCF(734,7978) x common factors =2 x 1 = 2

LCM(734,7978) = ( 734 × 7978 ) / 2

LCM(734,7978) = 5855852 / 2

LCM(734,7978) = 2927926


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 606/734, 8906/7978

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 606/734, 8906/7978?

Answer: GCF of Numerators as per given numbers 606/734, 8906/7978 is

GCF of Numerators i.e. for 606,8906 is 2

LCM of denominators i.e. for 734,7978 is 2927926.

Thus, GCF of Fractions is 2/2927926.Finally, GCF of Fractions for 606/734, 8906/7978 is 2/2927926.