Greatest Common Factor of 930/72, 5434/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 930/72, 5434/679

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 930/72,5434/679

Given fractions are 930/72,5434/679

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 930,5434

Greatest Common Factor of Numerators i.e. GCF of 930,5434 is 2 .

LCM of Denominators means LCM of 72,679 as per the given fractions.

LCM of 72,679 is 48888 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 930,5434

GCF of Fractions 930/72,5434/679 is 2/48888

2 930, 5434
465, 2717

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 930,5434 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,5434 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 5434

List of positive integer factors of 5434 that divides 5434 without a remainder.

1,2,11,13,19,22,26,38,143,209,247,286,418,494,2717,5434

Greatest Common Factor

We found the factors 930,5434 . The biggest common factor number is the GCF number.
So the greatest common factor 930,5434 is 2.

Lets's calculate LCM of 72,679

Given numbers has no common factors except 1. So, there LCM is their product i.e 48888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/48888

Therefore, the GCF of Fractions 930/72,5434/679 is 2/48888

Least Common Multiple of 72,679 with GCF Formula

Least Common Multiple of 72,679 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 72,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,679) = 1

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

GCF(72,679) x common factors =1 x 1 = 1

LCM(72,679) = ( 72 × 679 ) / 1

LCM(72,679) = 48888 / 1

LCM(72,679) = 48888


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 930/72, 5434/679

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 930/72, 5434/679?

Answer: GCF of Numerators as per given numbers 930/72, 5434/679 is

GCF of Numerators i.e. for 930,5434 is 2

LCM of denominators i.e. for 72,679 is 48888.

Thus, GCF of Fractions is 2/48888.Finally, GCF of Fractions for 930/72, 5434/679 is 2/48888.