Greatest Common Factor of 646/68, 130/60, 945/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 646/68, 130/60, 945/923

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 646/68,130/60,945/923

Given fractions are 646/68,130/60,945/923

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 646,130,945

Greatest Common Factor of Numerators i.e. GCF of 646,130,945 is 1 .

LCM of Denominators means LCM of 68,60,923 as per the given fractions.

LCM of 68,60,923 is 941460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 646,130,945

GCF of Fractions 646/68,130/60,945/923 is 1/941460

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

Greatest Common Factor of 646,130,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,130,945 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 646,130,945 . The biggest common factor number is the GCF number.
So the greatest common factor 646,130,945 is 1.

Lets's calculate LCM of 68,60,923

2 68, 60, 923
2 34, 30, 923
17, 15, 923

∴ So the LCM of the given numbers is 2 x 2 x 17 x 15 x 923 = 941460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/941460

Therefore, the GCF of Fractions 646/68,130/60,945/923 is 1/941460

Least Common Multiple of 68,60,923 with GCF Formula

Least Common Multiple of 68,60,923 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 68,60,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,60,923) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(68,60,923) x common factors =1 x 4 = 4

LCM(68,60,923) = ( 68 × 60 × 923 ) / 4

LCM(68,60,923) = 3765840 / 4

LCM(68,60,923) = 941460


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 646/68, 130/60, 945/923

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 646/68, 130/60, 945/923?

Answer: GCF of Numerators as per given numbers 646/68, 130/60, 945/923 is

GCF of Numerators i.e. for 646,130,945 is 1

LCM of denominators i.e. for 68,60,923 is 941460.

Thus, GCF of Fractions is 1/941460.Finally, GCF of Fractions for 646/68, 130/60, 945/923 is 1/941460.