Greatest Common Factor of 8162/408, 8033/9270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8162/408, 8033/9270

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 8162/408,8033/9270

Given fractions are 8162/408,8033/9270

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 8162,8033

Greatest Common Factor of Numerators i.e. GCF of 8162,8033 is 1 .

LCM of Denominators means LCM of 408,9270 as per the given fractions.

LCM of 408,9270 is 630360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8162,8033

GCF of Fractions 8162/408,8033/9270 is 1/630360

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

Greatest Common Factor of 8162,8033 By Matching Biggest Common Factor Method

Greatest Common Factor of 8162,8033 By Matching Biggest Common Factor Method

Factors of 8162

List of positive integer factors of 8162 that divides 8162 without a remainder.

1,2,7,11,14,22,53,77,106,154,371,583,742,1166,4081,8162

Factors of 8033

List of positive integer factors of 8033 that divides 8033 without a remainder.

1,29,277,8033

Greatest Common Factor

We found the factors 8162,8033 . The biggest common factor number is the GCF number.
So the greatest common factor 8162,8033 is 1.

Lets's calculate LCM of 408,9270

2 408, 9270
3 204, 4635
68, 1545

∴ So the LCM of the given numbers is 2 x 3 x 68 x 1545 = 630360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/630360

Therefore, the GCF of Fractions 8162/408,8033/9270 is 1/630360

Least Common Multiple of 408,9270 with GCF Formula

Least Common Multiple of 408,9270 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 408,9270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,9270) = 6

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

GCF(408,9270) x common factors =6 x 1 = 6

LCM(408,9270) = ( 408 × 9270 ) / 6

LCM(408,9270) = 3782160 / 6

LCM(408,9270) = 630360


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 8162/408, 8033/9270

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 8162/408, 8033/9270?

Answer: GCF of Numerators as per given numbers 8162/408, 8033/9270 is

GCF of Numerators i.e. for 8162,8033 is 1

LCM of denominators i.e. for 408,9270 is 630360.

Thus, GCF of Fractions is 1/630360.Finally, GCF of Fractions for 8162/408, 8033/9270 is 1/630360.