Greatest Common Factor of 79/30, 46/90, 92/14, 43/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 79/30, 46/90, 92/14, 43/749

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 79/30,46/90,92/14,43/749

Given fractions are 79/30,46/90,92/14,43/749

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 79,46,92,43

Greatest Common Factor of Numerators i.e. GCF of 79,46,92,43 is 1 .

LCM of Denominators means LCM of 30,90,14,749 as per the given fractions.

LCM of 30,90,14,749 is 67410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 79,46,92,43

GCF of Fractions 79/30,46/90,92/14,43/749 is 1/67410

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

Greatest Common Factor of 79,46,92,43 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,46,92,43 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 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Greatest Common Factor

We found the factors 79,46,92,43 . The biggest common factor number is the GCF number.
So the greatest common factor 79,46,92,43 is 1.

Lets's calculate LCM of 30,90,14,749

2 30, 90, 14, 749
3 15, 45, 7, 749
5 5, 15, 7, 749
7 1, 3, 7, 749
1, 3, 1, 107

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 3 x 1 x 107 = 67410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67410

Therefore, the GCF of Fractions 79/30,46/90,92/14,43/749 is 1/67410

Least Common Multiple of 30,90,14,749 with GCF Formula

Least Common Multiple of 30,90,14,749 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 30,90,14,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,90,14,749) = 1

common factors(in case of two or more numbers have common factors) = 420

GCF(30,90,14,749) x common factors =1 x 420 = 420

LCM(30,90,14,749) = ( 30 × 90 × 14 × 749 ) / 420

LCM(30,90,14,749) = 28312200 / 420

LCM(30,90,14,749) = 67410


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 79/30, 46/90, 92/14, 43/749

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 79/30, 46/90, 92/14, 43/749?

Answer: GCF of Numerators as per given numbers 79/30, 46/90, 92/14, 43/749 is

GCF of Numerators i.e. for 79,46,92,43 is 1

LCM of denominators i.e. for 30,90,14,749 is 67410.

Thus, GCF of Fractions is 1/67410.Finally, GCF of Fractions for 79/30, 46/90, 92/14, 43/749 is 1/67410.