Greatest Common Factor of 2826/185, 6450/1677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2826/185, 6450/1677

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 2826/185,6450/1677

Given fractions are 2826/185,6450/1677

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 2826,6450

Greatest Common Factor of Numerators i.e. GCF of 2826,6450 is 6 .

LCM of Denominators means LCM of 185,1677 as per the given fractions.

LCM of 185,1677 is 310245 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2826,6450

GCF of Fractions 2826/185,6450/1677 is 6/310245

2 2826, 6450
3 1413, 3225
471, 1075

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 2826,6450 By Matching Biggest Common Factor Method

Greatest Common Factor of 2826,6450 By Matching Biggest Common Factor Method

Factors of 2826

List of positive integer factors of 2826 that divides 2826 without a remainder.

1,2,3,6,9,18,157,314,471,942,1413,2826

Factors of 6450

List of positive integer factors of 6450 that divides 6450 without a remainder.

1,2,3,5,6,10,15,25,30,43,50,75,86,129,150,215,258,430,645,1075,1290,2150,3225,6450

Greatest Common Factor

We found the factors 2826,6450 . The biggest common factor number is the GCF number.
So the greatest common factor 2826,6450 is 6.

Lets's calculate LCM of 185,1677

Given numbers has no common factors except 1. So, there LCM is their product i.e 310245

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/310245

Therefore, the GCF of Fractions 2826/185,6450/1677 is 6/310245

Least Common Multiple of 185,1677 with GCF Formula

Least Common Multiple of 185,1677 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 185,1677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,1677) = 1

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

GCF(185,1677) x common factors =1 x 1 = 1

LCM(185,1677) = ( 185 × 1677 ) / 1

LCM(185,1677) = 310245 / 1

LCM(185,1677) = 310245


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 2826/185, 6450/1677

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 2826/185, 6450/1677?

Answer: GCF of Numerators as per given numbers 2826/185, 6450/1677 is

GCF of Numerators i.e. for 2826,6450 is 6

LCM of denominators i.e. for 185,1677 is 310245.

Thus, GCF of Fractions is 6/310245.Finally, GCF of Fractions for 2826/185, 6450/1677 is 6/310245.