Greatest Common Factor of 3933/174, 8965/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3933/174, 8965/894

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 3933/174,8965/894

Given fractions are 3933/174,8965/894

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 3933,8965

Greatest Common Factor of Numerators i.e. GCF of 3933,8965 is 1 .

LCM of Denominators means LCM of 174,894 as per the given fractions.

LCM of 174,894 is 25926 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3933,8965

GCF of Fractions 3933/174,8965/894 is 1/25926

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

Greatest Common Factor of 3933,8965 By Matching Biggest Common Factor Method

Greatest Common Factor of 3933,8965 By Matching Biggest Common Factor Method

Factors of 3933

List of positive integer factors of 3933 that divides 3933 without a remainder.

1,3,9,19,23,57,69,171,207,437,1311,3933

Factors of 8965

List of positive integer factors of 8965 that divides 8965 without a remainder.

1,5,11,55,163,815,1793,8965

Greatest Common Factor

We found the factors 3933,8965 . The biggest common factor number is the GCF number.
So the greatest common factor 3933,8965 is 1.

Lets's calculate LCM of 174,894

2 174, 894
3 87, 447
29, 149

∴ So the LCM of the given numbers is 2 x 3 x 29 x 149 = 25926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25926

Therefore, the GCF of Fractions 3933/174,8965/894 is 1/25926

Least Common Multiple of 174,894 with GCF Formula

Least Common Multiple of 174,894 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 174,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,894) = 6

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

GCF(174,894) x common factors =6 x 1 = 6

LCM(174,894) = ( 174 × 894 ) / 6

LCM(174,894) = 155556 / 6

LCM(174,894) = 25926


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 3933/174, 8965/894

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 3933/174, 8965/894?

Answer: GCF of Numerators as per given numbers 3933/174, 8965/894 is

GCF of Numerators i.e. for 3933,8965 is 1

LCM of denominators i.e. for 174,894 is 25926.

Thus, GCF of Fractions is 1/25926.Finally, GCF of Fractions for 3933/174, 8965/894 is 1/25926.