Greatest Common Factor of 736/234, 1644/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 736/234, 1644/207

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 736/234,1644/207

Given fractions are 736/234,1644/207

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 736,1644

Greatest Common Factor of Numerators i.e. GCF of 736,1644 is 4 .

LCM of Denominators means LCM of 234,207 as per the given fractions.

LCM of 234,207 is 5382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 736,1644

GCF of Fractions 736/234,1644/207 is 4/5382

2 736, 1644
2 368, 822
184, 411

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 736,1644 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,1644 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 1644

List of positive integer factors of 1644 that divides 1644 without a remainder.

1,2,3,4,6,12,137,274,411,548,822,1644

Greatest Common Factor

We found the factors 736,1644 . The biggest common factor number is the GCF number.
So the greatest common factor 736,1644 is 4.

Lets's calculate LCM of 234,207

3 234, 207
3 78, 69
26, 23

∴ So the LCM of the given numbers is 3 x 3 x 26 x 23 = 5382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5382

Therefore, the GCF of Fractions 736/234,1644/207 is 4/5382

Least Common Multiple of 234,207 with GCF Formula

Least Common Multiple of 234,207 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 234,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,207) = 9

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

GCF(234,207) x common factors =9 x 1 = 9

LCM(234,207) = ( 234 × 207 ) / 9

LCM(234,207) = 48438 / 9

LCM(234,207) = 5382


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 736/234, 1644/207

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 736/234, 1644/207?

Answer: GCF of Numerators as per given numbers 736/234, 1644/207 is

GCF of Numerators i.e. for 736,1644 is 4

LCM of denominators i.e. for 234,207 is 5382.

Thus, GCF of Fractions is 4/5382.Finally, GCF of Fractions for 736/234, 1644/207 is 4/5382.