Greatest Common Factor of 826/162, 9407/8000

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 826/162, 9407/8000

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 826/162,9407/8000

Given fractions are 826/162,9407/8000

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 826,9407

Greatest Common Factor of Numerators i.e. GCF of 826,9407 is 1 .

LCM of Denominators means LCM of 162,8000 as per the given fractions.

LCM of 162,8000 is 648000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 826,9407

GCF of Fractions 826/162,9407/8000 is 1/648000

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

Greatest Common Factor of 826,9407 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,9407 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 9407

List of positive integer factors of 9407 that divides 9407 without a remainder.

1,23,409,9407

Greatest Common Factor

We found the factors 826,9407 . The biggest common factor number is the GCF number.
So the greatest common factor 826,9407 is 1.

Lets's calculate LCM of 162,8000

2 162, 8000
81, 4000

∴ So the LCM of the given numbers is 2 x 81 x 4000 = 648000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/648000

Therefore, the GCF of Fractions 826/162,9407/8000 is 1/648000

Least Common Multiple of 162,8000 with GCF Formula

Least Common Multiple of 162,8000 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 162,8000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,8000) = 2

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

GCF(162,8000) x common factors =2 x 1 = 2

LCM(162,8000) = ( 162 × 8000 ) / 2

LCM(162,8000) = 1296000 / 2

LCM(162,8000) = 648000


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 826/162, 9407/8000

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 826/162, 9407/8000?

Answer: GCF of Numerators as per given numbers 826/162, 9407/8000 is

GCF of Numerators i.e. for 826,9407 is 1

LCM of denominators i.e. for 162,8000 is 648000.

Thus, GCF of Fractions is 1/648000.Finally, GCF of Fractions for 826/162, 9407/8000 is 1/648000.