Greatest Common Factor of 892/89, 486/12, 412/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 892/89, 486/12, 412/505

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 892/89,486/12,412/505

Given fractions are 892/89,486/12,412/505

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 892,486,412

Greatest Common Factor of Numerators i.e. GCF of 892,486,412 is 2 .

LCM of Denominators means LCM of 89,12,505 as per the given fractions.

LCM of 89,12,505 is 539340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 892,486,412

GCF of Fractions 892/89,486/12,412/505 is 2/539340

2 892, 486, 412
446, 243, 206

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

Greatest Common Factor of 892,486,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,486,412 By Matching Biggest Common Factor Method

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 892,486,412 . The biggest common factor number is the GCF number.
So the greatest common factor 892,486,412 is 2.

Lets's calculate LCM of 89,12,505

Given numbers has no common factors except 1. So, there LCM is their product i.e 539340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/539340

Therefore, the GCF of Fractions 892/89,486/12,412/505 is 2/539340

Least Common Multiple of 89,12,505 with GCF Formula

Least Common Multiple of 89,12,505 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 89,12,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,12,505) = 1

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

GCF(89,12,505) x common factors =1 x 1 = 1

LCM(89,12,505) = ( 89 × 12 × 505 ) / 1

LCM(89,12,505) = 539340 / 1

LCM(89,12,505) = 539340


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 892/89, 486/12, 412/505

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 892/89, 486/12, 412/505?

Answer: GCF of Numerators as per given numbers 892/89, 486/12, 412/505 is

GCF of Numerators i.e. for 892,486,412 is 2

LCM of denominators i.e. for 89,12,505 is 539340.

Thus, GCF of Fractions is 2/539340.Finally, GCF of Fractions for 892/89, 486/12, 412/505 is 2/539340.