Greatest Common Factor of 400/361, 8178/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 400/361, 8178/621

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 400/361,8178/621

Given fractions are 400/361,8178/621

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 400,8178

Greatest Common Factor of Numerators i.e. GCF of 400,8178 is 2 .

LCM of Denominators means LCM of 361,621 as per the given fractions.

LCM of 361,621 is 224181 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 400,8178

GCF of Fractions 400/361,8178/621 is 2/224181

2 400, 8178
200, 4089

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

Greatest Common Factor of 400,8178 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,8178 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 8178

List of positive integer factors of 8178 that divides 8178 without a remainder.

1,2,3,6,29,47,58,87,94,141,174,282,1363,2726,4089,8178

Greatest Common Factor

We found the factors 400,8178 . The biggest common factor number is the GCF number.
So the greatest common factor 400,8178 is 2.

Lets's calculate LCM of 361,621

Given numbers has no common factors except 1. So, there LCM is their product i.e 224181

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/224181

Therefore, the GCF of Fractions 400/361,8178/621 is 2/224181

Least Common Multiple of 361,621 with GCF Formula

Least Common Multiple of 361,621 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 361,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,621) = 1

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

GCF(361,621) x common factors =1 x 1 = 1

LCM(361,621) = ( 361 × 621 ) / 1

LCM(361,621) = 224181 / 1

LCM(361,621) = 224181


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 400/361, 8178/621

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 400/361, 8178/621?

Answer: GCF of Numerators as per given numbers 400/361, 8178/621 is

GCF of Numerators i.e. for 400,8178 is 2

LCM of denominators i.e. for 361,621 is 224181.

Thus, GCF of Fractions is 2/224181.Finally, GCF of Fractions for 400/361, 8178/621 is 2/224181.