Greatest Common Factor of 889/349, 203/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 889/349, 203/649

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 889/349,203/649

Given fractions are 889/349,203/649

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 889,203

Greatest Common Factor of Numerators i.e. GCF of 889,203 is 7 .

LCM of Denominators means LCM of 349,649 as per the given fractions.

LCM of 349,649 is 226501 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 889,203

GCF of Fractions 889/349,203/649 is 7/226501

7 889, 203
127, 29

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 889,203 By Matching Biggest Common Factor Method

Greatest Common Factor of 889,203 By Matching Biggest Common Factor Method

Factors of 889

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

1,7,127,889

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Greatest Common Factor

We found the factors 889,203 . The biggest common factor number is the GCF number.
So the greatest common factor 889,203 is 7.

Lets's calculate LCM of 349,649

Given numbers has no common factors except 1. So, there LCM is their product i.e 226501

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/226501

Therefore, the GCF of Fractions 889/349,203/649 is 7/226501

Least Common Multiple of 349,649 with GCF Formula

Least Common Multiple of 349,649 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 349,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,649) = 1

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

GCF(349,649) x common factors =1 x 1 = 1

LCM(349,649) = ( 349 × 649 ) / 1

LCM(349,649) = 226501 / 1

LCM(349,649) = 226501


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 889/349, 203/649

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 889/349, 203/649?

Answer: GCF of Numerators as per given numbers 889/349, 203/649 is

GCF of Numerators i.e. for 889,203 is 7

LCM of denominators i.e. for 349,649 is 226501.

Thus, GCF of Fractions is 7/226501.Finally, GCF of Fractions for 889/349, 203/649 is 7/226501.