Greatest Common Factor of 943/36, 196/45, 689/74

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 943/36, 196/45, 689/74

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 943/36,196/45,689/74

Given fractions are 943/36,196/45,689/74

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 943,196,689

Greatest Common Factor of Numerators i.e. GCF of 943,196,689 is 1 .

LCM of Denominators means LCM of 36,45,74 as per the given fractions.

LCM of 36,45,74 is 6660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 943,196,689

GCF of Fractions 943/36,196/45,689/74 is 1/6660

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 943,196,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 943,196,689 By Matching Biggest Common Factor Method

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 943,196,689 . The biggest common factor number is the GCF number.
So the greatest common factor 943,196,689 is 1.

Lets's calculate LCM of 36,45,74

2 36, 45, 74
3 18, 45, 37
3 6, 15, 37
2, 5, 37

∴ So the LCM of the given numbers is 2 x 3 x 3 x 2 x 5 x 37 = 6660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6660

Therefore, the GCF of Fractions 943/36,196/45,689/74 is 1/6660

Least Common Multiple of 36,45,74 with GCF Formula

Least Common Multiple of 36,45,74 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 36,45,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,45,74) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(36,45,74) x common factors =1 x 18 = 18

LCM(36,45,74) = ( 36 × 45 × 74 ) / 18

LCM(36,45,74) = 119880 / 18

LCM(36,45,74) = 6660


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 943/36, 196/45, 689/74

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 943/36, 196/45, 689/74?

Answer: GCF of Numerators as per given numbers 943/36, 196/45, 689/74 is

GCF of Numerators i.e. for 943,196,689 is 1

LCM of denominators i.e. for 36,45,74 is 6660.

Thus, GCF of Fractions is 1/6660.Finally, GCF of Fractions for 943/36, 196/45, 689/74 is 1/6660.