Greatest Common Factor of 1/51, 11/22, 95/462, 665/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/51, 11/22, 95/462, 665/394

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 1/51,11/22,95/462,665/394

Given fractions are 1/51,11/22,95/462,665/394

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 1,11,95,665

Greatest Common Factor of Numerators i.e. GCF of 1,11,95,665 is 1 .

LCM of Denominators means LCM of 51,22,462,394 as per the given fractions.

LCM of 51,22,462,394 is 1547238 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,11,95,665

GCF of Fractions 1/51,11/22,95/462,665/394 is 1/1547238

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

Greatest Common Factor of 1,11,95,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,11,95,665 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 1,11,95,665 . The biggest common factor number is the GCF number.
So the greatest common factor 1,11,95,665 is 1.

Lets's calculate LCM of 51,22,462,394

2 51, 22, 462, 394
3 51, 11, 231, 197
11 17, 11, 77, 197
17, 1, 7, 197

∴ So the LCM of the given numbers is 2 x 3 x 11 x 17 x 1 x 7 x 197 = 1547238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1547238

Therefore, the GCF of Fractions 1/51,11/22,95/462,665/394 is 1/1547238

Least Common Multiple of 51,22,462,394 with GCF Formula

Least Common Multiple of 51,22,462,394 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 51,22,462,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,22,462,394) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(51,22,462,394) x common factors =1 x 132 = 132

LCM(51,22,462,394) = ( 51 × 22 × 462 × 394 ) / 132

LCM(51,22,462,394) = 204235416 / 132

LCM(51,22,462,394) = 1547238


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 1/51, 11/22, 95/462, 665/394

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 1/51, 11/22, 95/462, 665/394?

Answer: GCF of Numerators as per given numbers 1/51, 11/22, 95/462, 665/394 is

GCF of Numerators i.e. for 1,11,95,665 is 1

LCM of denominators i.e. for 51,22,462,394 is 1547238.

Thus, GCF of Fractions is 1/1547238.Finally, GCF of Fractions for 1/51, 11/22, 95/462, 665/394 is 1/1547238.