Greatest Common Factor of 899/825, 585/378, 698/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 899/825, 585/378, 698/132

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 899/825,585/378,698/132

Given fractions are 899/825,585/378,698/132

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 899,585,698

Greatest Common Factor of Numerators i.e. GCF of 899,585,698 is 1 .

LCM of Denominators means LCM of 825,378,132 as per the given fractions.

LCM of 825,378,132 is 207900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 899,585,698

GCF of Fractions 899/825,585/378,698/132 is 1/207900

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

Greatest Common Factor of 899,585,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,585,698 By Matching Biggest Common Factor Method

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 899,585,698 . The biggest common factor number is the GCF number.
So the greatest common factor 899,585,698 is 1.

Lets's calculate LCM of 825,378,132

2 825, 378, 132
3 825, 189, 66
11 275, 63, 22
25, 63, 2

∴ So the LCM of the given numbers is 2 x 3 x 11 x 25 x 63 x 2 = 207900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207900

Therefore, the GCF of Fractions 899/825,585/378,698/132 is 1/207900

Least Common Multiple of 825,378,132 with GCF Formula

Least Common Multiple of 825,378,132 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 825,378,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,378,132) = 3

common factors(in case of two or more numbers have common factors) = 66

GCF(825,378,132) x common factors =3 x 66 = 198

LCM(825,378,132) = ( 825 × 378 × 132 ) / 198

LCM(825,378,132) = 41164200 / 198

LCM(825,378,132) = 207900


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 899/825, 585/378, 698/132

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 899/825, 585/378, 698/132?

Answer: GCF of Numerators as per given numbers 899/825, 585/378, 698/132 is

GCF of Numerators i.e. for 899,585,698 is 1

LCM of denominators i.e. for 825,378,132 is 207900.

Thus, GCF of Fractions is 1/207900.Finally, GCF of Fractions for 899/825, 585/378, 698/132 is 1/207900.