Greatest Common Factor of 946/30, 154/76, 626/893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 946/30, 154/76, 626/893

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 946/30,154/76,626/893

Given fractions are 946/30,154/76,626/893

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 946,154,626

Greatest Common Factor of Numerators i.e. GCF of 946,154,626 is 2 .

LCM of Denominators means LCM of 30,76,893 as per the given fractions.

LCM of 30,76,893 is 53580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 946,154,626

GCF of Fractions 946/30,154/76,626/893 is 2/53580

2 946, 154, 626
473, 77, 313

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

Greatest Common Factor of 946,154,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,154,626 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 946,154,626 . The biggest common factor number is the GCF number.
So the greatest common factor 946,154,626 is 2.

Lets's calculate LCM of 30,76,893

2 30, 76, 893
19 15, 38, 893
15, 2, 47

∴ So the LCM of the given numbers is 2 x 19 x 15 x 2 x 47 = 53580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53580

Therefore, the GCF of Fractions 946/30,154/76,626/893 is 2/53580

Least Common Multiple of 30,76,893 with GCF Formula

Least Common Multiple of 30,76,893 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 30,76,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,76,893) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(30,76,893) x common factors =1 x 38 = 38

LCM(30,76,893) = ( 30 × 76 × 893 ) / 38

LCM(30,76,893) = 2036040 / 38

LCM(30,76,893) = 53580


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 946/30, 154/76, 626/893

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 946/30, 154/76, 626/893?

Answer: GCF of Numerators as per given numbers 946/30, 154/76, 626/893 is

GCF of Numerators i.e. for 946,154,626 is 2

LCM of denominators i.e. for 30,76,893 is 53580.

Thus, GCF of Fractions is 2/53580.Finally, GCF of Fractions for 946/30, 154/76, 626/893 is 2/53580.