Greatest Common Factor of 899/629, 475/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 899/629, 475/276

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 899/629,475/276

Given fractions are 899/629,475/276

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 899,475

Greatest Common Factor of Numerators i.e. GCF of 899,475 is 1 .

LCM of Denominators means LCM of 629,276 as per the given fractions.

LCM of 629,276 is 173604 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 899,475

GCF of Fractions 899/629,475/276 is 1/173604

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

Greatest Common Factor of 899,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 899,475 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 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 899,475 . The biggest common factor number is the GCF number.
So the greatest common factor 899,475 is 1.

Lets's calculate LCM of 629,276

Given numbers has no common factors except 1. So, there LCM is their product i.e 173604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173604

Therefore, the GCF of Fractions 899/629,475/276 is 1/173604

Least Common Multiple of 629,276 with GCF Formula

Least Common Multiple of 629,276 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 629,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(629,276) = 1

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

GCF(629,276) x common factors =1 x 1 = 1

LCM(629,276) = ( 629 × 276 ) / 1

LCM(629,276) = 173604 / 1

LCM(629,276) = 173604


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 899/629, 475/276

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 899/629, 475/276?

Answer: GCF of Numerators as per given numbers 899/629, 475/276 is

GCF of Numerators i.e. for 899,475 is 1

LCM of denominators i.e. for 629,276 is 173604.

Thus, GCF of Fractions is 1/173604.Finally, GCF of Fractions for 899/629, 475/276 is 1/173604.