Greatest Common Factor of 225/35, 129/10, 889/46

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 225/35, 129/10, 889/46

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 225/35,129/10,889/46

Given fractions are 225/35,129/10,889/46

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 225,129,889

Greatest Common Factor of Numerators i.e. GCF of 225,129,889 is 1 .

LCM of Denominators means LCM of 35,10,46 as per the given fractions.

LCM of 35,10,46 is 1610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 225,129,889

GCF of Fractions 225/35,129/10,889/46 is 1/1610

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

Greatest Common Factor of 225,129,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,129,889 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 225,129,889 . The biggest common factor number is the GCF number.
So the greatest common factor 225,129,889 is 1.

Lets's calculate LCM of 35,10,46

2 35, 10, 46
5 35, 5, 23
7, 1, 23

∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 23 = 1610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1610

Therefore, the GCF of Fractions 225/35,129/10,889/46 is 1/1610

Least Common Multiple of 35,10,46 with GCF Formula

Least Common Multiple of 35,10,46 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 35,10,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,10,46) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(35,10,46) x common factors =1 x 10 = 10

LCM(35,10,46) = ( 35 × 10 × 46 ) / 10

LCM(35,10,46) = 16100 / 10

LCM(35,10,46) = 1610


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 225/35, 129/10, 889/46

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 225/35, 129/10, 889/46?

Answer: GCF of Numerators as per given numbers 225/35, 129/10, 889/46 is

GCF of Numerators i.e. for 225,129,889 is 1

LCM of denominators i.e. for 35,10,46 is 1610.

Thus, GCF of Fractions is 1/1610.Finally, GCF of Fractions for 225/35, 129/10, 889/46 is 1/1610.