Greatest Common Factor of 892/825, 2205/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 892/825, 2205/498

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 892/825,2205/498

Given fractions are 892/825,2205/498

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 892,2205

Greatest Common Factor of Numerators i.e. GCF of 892,2205 is 1 .

LCM of Denominators means LCM of 825,498 as per the given fractions.

LCM of 825,498 is 136950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 892,2205

GCF of Fractions 892/825,2205/498 is 1/136950

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

Greatest Common Factor of 892,2205 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,2205 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 2205

List of positive integer factors of 2205 that divides 2205 without a remainder.

1,3,5,7,9,15,21,35,45,49,63,105,147,245,315,441,735,2205

Greatest Common Factor

We found the factors 892,2205 . The biggest common factor number is the GCF number.
So the greatest common factor 892,2205 is 1.

Lets's calculate LCM of 825,498

3 825, 498
275, 166

∴ So the LCM of the given numbers is 3 x 275 x 166 = 136950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136950

Therefore, the GCF of Fractions 892/825,2205/498 is 1/136950

Least Common Multiple of 825,498 with GCF Formula

Least Common Multiple of 825,498 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 825,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,498) = 3

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

GCF(825,498) x common factors =3 x 1 = 3

LCM(825,498) = ( 825 × 498 ) / 3

LCM(825,498) = 410850 / 3

LCM(825,498) = 136950


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 892/825, 2205/498

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 892/825, 2205/498?

Answer: GCF of Numerators as per given numbers 892/825, 2205/498 is

GCF of Numerators i.e. for 892,2205 is 1

LCM of denominators i.e. for 825,498 is 136950.

Thus, GCF of Fractions is 1/136950.Finally, GCF of Fractions for 892/825, 2205/498 is 1/136950.