Greatest Common Factor of 3706/85, 1894/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3706/85, 1894/331

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 3706/85,1894/331

Given fractions are 3706/85,1894/331

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 3706,1894

Greatest Common Factor of Numerators i.e. GCF of 3706,1894 is 2 .

LCM of Denominators means LCM of 85,331 as per the given fractions.

LCM of 85,331 is 28135 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3706,1894

GCF of Fractions 3706/85,1894/331 is 2/28135

2 3706, 1894
1853, 947

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

Greatest Common Factor of 3706,1894 By Matching Biggest Common Factor Method

Greatest Common Factor of 3706,1894 By Matching Biggest Common Factor Method

Factors of 3706

List of positive integer factors of 3706 that divides 3706 without a remainder.

1,2,17,34,109,218,1853,3706

Factors of 1894

List of positive integer factors of 1894 that divides 1894 without a remainder.

1,2,947,1894

Greatest Common Factor

We found the factors 3706,1894 . The biggest common factor number is the GCF number.
So the greatest common factor 3706,1894 is 2.

Lets's calculate LCM of 85,331

Given numbers has no common factors except 1. So, there LCM is their product i.e 28135

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28135

Therefore, the GCF of Fractions 3706/85,1894/331 is 2/28135

Least Common Multiple of 85,331 with GCF Formula

Least Common Multiple of 85,331 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 85,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,331) = 1

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

GCF(85,331) x common factors =1 x 1 = 1

LCM(85,331) = ( 85 × 331 ) / 1

LCM(85,331) = 28135 / 1

LCM(85,331) = 28135


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 3706/85, 1894/331

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 3706/85, 1894/331?

Answer: GCF of Numerators as per given numbers 3706/85, 1894/331 is

GCF of Numerators i.e. for 3706,1894 is 2

LCM of denominators i.e. for 85,331 is 28135.

Thus, GCF of Fractions is 2/28135.Finally, GCF of Fractions for 3706/85, 1894/331 is 2/28135.