Greatest Common Factor of 1/14, 37/54, 38/518, 359/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/14, 37/54, 38/518, 359/665

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 1/14,37/54,38/518,359/665

Given fractions are 1/14,37/54,38/518,359/665

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 1,37,38,359

Greatest Common Factor of Numerators i.e. GCF of 1,37,38,359 is 1 .

LCM of Denominators means LCM of 14,54,518,665 as per the given fractions.

LCM of 14,54,518,665 is 1328670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,37,38,359

GCF of Fractions 1/14,37/54,38/518,359/665 is 1/1328670

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

Greatest Common Factor of 1,37,38,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,37,38,359 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 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 1,37,38,359 . The biggest common factor number is the GCF number.
So the greatest common factor 1,37,38,359 is 1.

Lets's calculate LCM of 14,54,518,665

2 14, 54, 518, 665
7 7, 27, 259, 665
1, 27, 37, 95

∴ So the LCM of the given numbers is 2 x 7 x 1 x 27 x 37 x 95 = 1328670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1328670

Therefore, the GCF of Fractions 1/14,37/54,38/518,359/665 is 1/1328670

Least Common Multiple of 14,54,518,665 with GCF Formula

Least Common Multiple of 14,54,518,665 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 14,54,518,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,54,518,665) = 1

common factors(in case of two or more numbers have common factors) = 196

GCF(14,54,518,665) x common factors =1 x 196 = 196

LCM(14,54,518,665) = ( 14 × 54 × 518 × 665 ) / 196

LCM(14,54,518,665) = 260419320 / 196

LCM(14,54,518,665) = 1328670


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 1/14, 37/54, 38/518, 359/665

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 1/14, 37/54, 38/518, 359/665?

Answer: GCF of Numerators as per given numbers 1/14, 37/54, 38/518, 359/665 is

GCF of Numerators i.e. for 1,37,38,359 is 1

LCM of denominators i.e. for 14,54,518,665 is 1328670.

Thus, GCF of Fractions is 1/1328670.Finally, GCF of Fractions for 1/14, 37/54, 38/518, 359/665 is 1/1328670.