Greatest Common Factor of 894/62, 303/8362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 894/62, 303/8362

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 894/62,303/8362

Given fractions are 894/62,303/8362

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 894,303

Greatest Common Factor of Numerators i.e. GCF of 894,303 is 3 .

LCM of Denominators means LCM of 62,8362 as per the given fractions.

LCM of 62,8362 is 259222 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 894,303

GCF of Fractions 894/62,303/8362 is 3/259222

3 894, 303
298, 101

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 894,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,303 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 894,303 . The biggest common factor number is the GCF number.
So the greatest common factor 894,303 is 3.

Lets's calculate LCM of 62,8362

2 62, 8362
31, 4181

∴ So the LCM of the given numbers is 2 x 31 x 4181 = 259222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/259222

Therefore, the GCF of Fractions 894/62,303/8362 is 3/259222

Least Common Multiple of 62,8362 with GCF Formula

Least Common Multiple of 62,8362 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 62,8362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,8362) = 2

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

GCF(62,8362) x common factors =2 x 1 = 2

LCM(62,8362) = ( 62 × 8362 ) / 2

LCM(62,8362) = 518444 / 2

LCM(62,8362) = 259222


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 894/62, 303/8362

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 894/62, 303/8362?

Answer: GCF of Numerators as per given numbers 894/62, 303/8362 is

GCF of Numerators i.e. for 894,303 is 3

LCM of denominators i.e. for 62,8362 is 259222.

Thus, GCF of Fractions is 3/259222.Finally, GCF of Fractions for 894/62, 303/8362 is 3/259222.