Greatest Common Factor of 79/41, 45/89, 14/85, 614/38

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 79/41, 45/89, 14/85, 614/38

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 79/41,45/89,14/85,614/38

Given fractions are 79/41,45/89,14/85,614/38

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 79,45,14,614

Greatest Common Factor of Numerators i.e. GCF of 79,45,14,614 is 1 .

LCM of Denominators means LCM of 41,89,85,38 as per the given fractions.

LCM of 41,89,85,38 is 11786270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 79,45,14,614

GCF of Fractions 79/41,45/89,14/85,614/38 is 1/11786270

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

Greatest Common Factor of 79,45,14,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,45,14,614 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 79,45,14,614 . The biggest common factor number is the GCF number.
So the greatest common factor 79,45,14,614 is 1.

Lets's calculate LCM of 41,89,85,38

Given numbers has no common factors except 1. So, there LCM is their product i.e 11786270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11786270

Therefore, the GCF of Fractions 79/41,45/89,14/85,614/38 is 1/11786270

Least Common Multiple of 41,89,85,38 with GCF Formula

Least Common Multiple of 41,89,85,38 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 41,89,85,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,89,85,38) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(41,89,85,38) x common factors =1 x 1 = 1

LCM(41,89,85,38) = ( 41 × 89 × 85 × 38 ) / 1

LCM(41,89,85,38) = 11786270 / 1

LCM(41,89,85,38) = 11786270


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 79/41, 45/89, 14/85, 614/38

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 79/41, 45/89, 14/85, 614/38?

Answer: GCF of Numerators as per given numbers 79/41, 45/89, 14/85, 614/38 is

GCF of Numerators i.e. for 79,45,14,614 is 1

LCM of denominators i.e. for 41,89,85,38 is 11786270.

Thus, GCF of Fractions is 1/11786270.Finally, GCF of Fractions for 79/41, 45/89, 14/85, 614/38 is 1/11786270.