Greatest Common Factor of 3432/534, 2365/947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3432/534, 2365/947

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 3432/534,2365/947

Given fractions are 3432/534,2365/947

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 3432,2365

Greatest Common Factor of Numerators i.e. GCF of 3432,2365 is 11 .

LCM of Denominators means LCM of 534,947 as per the given fractions.

LCM of 534,947 is 505698 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3432,2365

GCF of Fractions 3432/534,2365/947 is 11/505698

11 3432, 2365
312, 215

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

Greatest Common Factor of 3432,2365 By Matching Biggest Common Factor Method

Greatest Common Factor of 3432,2365 By Matching Biggest Common Factor Method

Factors of 3432

List of positive integer factors of 3432 that divides 3432 without a remainder.

1,2,3,4,6,8,11,12,13,22,24,26,33,39,44,52,66,78,88,104,132,143,156,264,286,312,429,572,858,1144,1716,3432

Factors of 2365

List of positive integer factors of 2365 that divides 2365 without a remainder.

1,5,11,43,55,215,473,2365

Greatest Common Factor

We found the factors 3432,2365 . The biggest common factor number is the GCF number.
So the greatest common factor 3432,2365 is 11.

Lets's calculate LCM of 534,947

Given numbers has no common factors except 1. So, there LCM is their product i.e 505698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/505698

Therefore, the GCF of Fractions 3432/534,2365/947 is 11/505698

Least Common Multiple of 534,947 with GCF Formula

Least Common Multiple of 534,947 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 534,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,947) = 1

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

GCF(534,947) x common factors =1 x 1 = 1

LCM(534,947) = ( 534 × 947 ) / 1

LCM(534,947) = 505698 / 1

LCM(534,947) = 505698


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 3432/534, 2365/947

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 3432/534, 2365/947?

Answer: GCF of Numerators as per given numbers 3432/534, 2365/947 is

GCF of Numerators i.e. for 3432,2365 is 11

LCM of denominators i.e. for 534,947 is 505698.

Thus, GCF of Fractions is 11/505698.Finally, GCF of Fractions for 3432/534, 2365/947 is 11/505698.