Greatest Common Factor of 38/60, 41/55, 312/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/60, 41/55, 312/814

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 38/60,41/55,312/814

Given fractions are 38/60,41/55,312/814

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 38,41,312

Greatest Common Factor of Numerators i.e. GCF of 38,41,312 is 1 .

LCM of Denominators means LCM of 60,55,814 as per the given fractions.

LCM of 60,55,814 is 24420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,41,312

GCF of Fractions 38/60,41/55,312/814 is 1/24420

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

Greatest Common Factor of 38,41,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,41,312 By Matching Biggest Common Factor Method

Factors of 38

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

1,2,19,38

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 38,41,312 . The biggest common factor number is the GCF number.
So the greatest common factor 38,41,312 is 1.

Lets's calculate LCM of 60,55,814

2 60, 55, 814
5 30, 55, 407
11 6, 11, 407
6, 1, 37

∴ So the LCM of the given numbers is 2 x 5 x 11 x 6 x 1 x 37 = 24420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24420

Therefore, the GCF of Fractions 38/60,41/55,312/814 is 1/24420

Least Common Multiple of 60,55,814 with GCF Formula

Least Common Multiple of 60,55,814 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 60,55,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,55,814) = 1

common factors(in case of two or more numbers have common factors) = 110

GCF(60,55,814) x common factors =1 x 110 = 110

LCM(60,55,814) = ( 60 × 55 × 814 ) / 110

LCM(60,55,814) = 2686200 / 110

LCM(60,55,814) = 24420


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 38/60, 41/55, 312/814

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 38/60, 41/55, 312/814?

Answer: GCF of Numerators as per given numbers 38/60, 41/55, 312/814 is

GCF of Numerators i.e. for 38,41,312 is 1

LCM of denominators i.e. for 60,55,814 is 24420.

Thus, GCF of Fractions is 1/24420.Finally, GCF of Fractions for 38/60, 41/55, 312/814 is 1/24420.