Greatest Common Factor of 254/49, 6825/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 254/49, 6825/889

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 254/49,6825/889

Given fractions are 254/49,6825/889

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 254,6825

Greatest Common Factor of Numerators i.e. GCF of 254,6825 is 1 .

LCM of Denominators means LCM of 49,889 as per the given fractions.

LCM of 49,889 is 6223 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 254,6825

GCF of Fractions 254/49,6825/889 is 1/6223

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

Greatest Common Factor of 254,6825 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,6825 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 6825

List of positive integer factors of 6825 that divides 6825 without a remainder.

1,3,5,7,13,15,21,25,35,39,65,75,91,105,175,195,273,325,455,525,975,1365,2275,6825

Greatest Common Factor

We found the factors 254,6825 . The biggest common factor number is the GCF number.
So the greatest common factor 254,6825 is 1.

Lets's calculate LCM of 49,889

7 49, 889
7, 127

∴ So the LCM of the given numbers is 7 x 7 x 127 = 6223

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6223

Therefore, the GCF of Fractions 254/49,6825/889 is 1/6223

Least Common Multiple of 49,889 with GCF Formula

Least Common Multiple of 49,889 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 49,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,889) = 7

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

GCF(49,889) x common factors =7 x 1 = 7

LCM(49,889) = ( 49 × 889 ) / 7

LCM(49,889) = 43561 / 7

LCM(49,889) = 6223


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 254/49, 6825/889

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 254/49, 6825/889?

Answer: GCF of Numerators as per given numbers 254/49, 6825/889 is

GCF of Numerators i.e. for 254,6825 is 1

LCM of denominators i.e. for 49,889 is 6223.

Thus, GCF of Fractions is 1/6223.Finally, GCF of Fractions for 254/49, 6825/889 is 1/6223.