Greatest Common Factor of 72/413, 345/989, 924/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/413, 345/989, 924/356

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 72/413,345/989,924/356

Given fractions are 72/413,345/989,924/356

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 72,345,924

Greatest Common Factor of Numerators i.e. GCF of 72,345,924 is 3 .

LCM of Denominators means LCM of 413,989,356 as per the given fractions.

LCM of 413,989,356 is 145410692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,345,924

GCF of Fractions 72/413,345/989,924/356 is 3/145410692

3 72, 345, 924
24, 115, 308

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 72,345,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,345,924 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 72,345,924 . The biggest common factor number is the GCF number.
So the greatest common factor 72,345,924 is 3.

Lets's calculate LCM of 413,989,356

Given numbers has no common factors except 1. So, there LCM is their product i.e 145410692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/145410692

Therefore, the GCF of Fractions 72/413,345/989,924/356 is 3/145410692

Least Common Multiple of 413,989,356 with GCF Formula

Least Common Multiple of 413,989,356 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 413,989,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,989,356) = 1

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

GCF(413,989,356) x common factors =1 x 1 = 1

LCM(413,989,356) = ( 413 × 989 × 356 ) / 1

LCM(413,989,356) = 145410692 / 1

LCM(413,989,356) = 145410692


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 72/413, 345/989, 924/356

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 72/413, 345/989, 924/356?

Answer: GCF of Numerators as per given numbers 72/413, 345/989, 924/356 is

GCF of Numerators i.e. for 72,345,924 is 3

LCM of denominators i.e. for 413,989,356 is 145410692.

Thus, GCF of Fractions is 3/145410692.Finally, GCF of Fractions for 72/413, 345/989, 924/356 is 3/145410692.