Greatest Common Factor of 737/18, 924/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 737/18, 924/346

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 737/18,924/346

Given fractions are 737/18,924/346

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 737,924

Greatest Common Factor of Numerators i.e. GCF of 737,924 is 11 .

LCM of Denominators means LCM of 18,346 as per the given fractions.

LCM of 18,346 is 3114 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 737,924

GCF of Fractions 737/18,924/346 is 11/3114

11 737, 924
67, 84

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 737,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 737,924 By Matching Biggest Common Factor Method

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

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 737,924 . The biggest common factor number is the GCF number.
So the greatest common factor 737,924 is 11.

Lets's calculate LCM of 18,346

2 18, 346
9, 173

∴ So the LCM of the given numbers is 2 x 9 x 173 = 3114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/3114

Therefore, the GCF of Fractions 737/18,924/346 is 11/3114

Least Common Multiple of 18,346 with GCF Formula

Least Common Multiple of 18,346 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 18,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,346) = 2

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

GCF(18,346) x common factors =2 x 1 = 2

LCM(18,346) = ( 18 × 346 ) / 2

LCM(18,346) = 6228 / 2

LCM(18,346) = 3114


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 737/18, 924/346

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 737/18, 924/346?

Answer: GCF of Numerators as per given numbers 737/18, 924/346 is

GCF of Numerators i.e. for 737,924 is 11

LCM of denominators i.e. for 18,346 is 3114.

Thus, GCF of Fractions is 11/3114.Finally, GCF of Fractions for 737/18, 924/346 is 11/3114.