Greatest Common Factor of 640/162, 6822/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 640/162, 6822/419

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 640/162,6822/419

Given fractions are 640/162,6822/419

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 640,6822

Greatest Common Factor of Numerators i.e. GCF of 640,6822 is 2 .

LCM of Denominators means LCM of 162,419 as per the given fractions.

LCM of 162,419 is 67878 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 640,6822

GCF of Fractions 640/162,6822/419 is 2/67878

2 640, 6822
320, 3411

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

Greatest Common Factor of 640,6822 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,6822 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 6822

List of positive integer factors of 6822 that divides 6822 without a remainder.

1,2,3,6,9,18,379,758,1137,2274,3411,6822

Greatest Common Factor

We found the factors 640,6822 . The biggest common factor number is the GCF number.
So the greatest common factor 640,6822 is 2.

Lets's calculate LCM of 162,419

Given numbers has no common factors except 1. So, there LCM is their product i.e 67878

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/67878

Therefore, the GCF of Fractions 640/162,6822/419 is 2/67878

Least Common Multiple of 162,419 with GCF Formula

Least Common Multiple of 162,419 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 162,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,419) = 1

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

GCF(162,419) x common factors =1 x 1 = 1

LCM(162,419) = ( 162 × 419 ) / 1

LCM(162,419) = 67878 / 1

LCM(162,419) = 67878


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 640/162, 6822/419

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 640/162, 6822/419?

Answer: GCF of Numerators as per given numbers 640/162, 6822/419 is

GCF of Numerators i.e. for 640,6822 is 2

LCM of denominators i.e. for 162,419 is 67878.

Thus, GCF of Fractions is 2/67878.Finally, GCF of Fractions for 640/162, 6822/419 is 2/67878.