Greatest Common Factor of 2150/827, 2358/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2150/827, 2358/549

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 2150/827,2358/549

Given fractions are 2150/827,2358/549

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 2150,2358

Greatest Common Factor of Numerators i.e. GCF of 2150,2358 is 2 .

LCM of Denominators means LCM of 827,549 as per the given fractions.

LCM of 827,549 is 454023 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2150,2358

GCF of Fractions 2150/827,2358/549 is 2/454023

2 2150, 2358
1075, 1179

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2150,2358 By Matching Biggest Common Factor Method

Greatest Common Factor of 2150,2358 By Matching Biggest Common Factor Method

Factors of 2150

List of positive integer factors of 2150 that divides 2150 without a remainder.

1,2,5,10,25,43,50,86,215,430,1075,2150

Factors of 2358

List of positive integer factors of 2358 that divides 2358 without a remainder.

1,2,3,6,9,18,131,262,393,786,1179,2358

Greatest Common Factor

We found the factors 2150,2358 . The biggest common factor number is the GCF number.
So the greatest common factor 2150,2358 is 2.

Lets's calculate LCM of 827,549

Given numbers has no common factors except 1. So, there LCM is their product i.e 454023

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/454023

Therefore, the GCF of Fractions 2150/827,2358/549 is 2/454023

Least Common Multiple of 827,549 with GCF Formula

Least Common Multiple of 827,549 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 827,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,549) = 1

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

GCF(827,549) x common factors =1 x 1 = 1

LCM(827,549) = ( 827 × 549 ) / 1

LCM(827,549) = 454023 / 1

LCM(827,549) = 454023


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 2150/827, 2358/549

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 2150/827, 2358/549?

Answer: GCF of Numerators as per given numbers 2150/827, 2358/549 is

GCF of Numerators i.e. for 2150,2358 is 2

LCM of denominators i.e. for 827,549 is 454023.

Thus, GCF of Fractions is 2/454023.Finally, GCF of Fractions for 2150/827, 2358/549 is 2/454023.