Greatest Common Factor of 8346/525, 9408/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8346/525, 9408/390

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 8346/525,9408/390

Given fractions are 8346/525,9408/390

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 8346,9408

Greatest Common Factor of Numerators i.e. GCF of 8346,9408 is 6 .

LCM of Denominators means LCM of 525,390 as per the given fractions.

LCM of 525,390 is 13650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8346,9408

GCF of Fractions 8346/525,9408/390 is 6/13650

2 8346, 9408
3 4173, 4704
1391, 1568

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

Greatest Common Factor of 8346,9408 By Matching Biggest Common Factor Method

Greatest Common Factor of 8346,9408 By Matching Biggest Common Factor Method

Factors of 8346

List of positive integer factors of 8346 that divides 8346 without a remainder.

1,2,3,6,13,26,39,78,107,214,321,642,1391,2782,4173,8346

Factors of 9408

List of positive integer factors of 9408 that divides 9408 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,64,84,96,98,112,147,168,192,196,224,294,336,392,448,588,672,784,1176,1344,1568,2352,3136,4704,9408

Greatest Common Factor

We found the factors 8346,9408 . The biggest common factor number is the GCF number.
So the greatest common factor 8346,9408 is 6.

Lets's calculate LCM of 525,390

3 525, 390
5 175, 130
35, 26

∴ So the LCM of the given numbers is 3 x 5 x 35 x 26 = 13650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/13650

Therefore, the GCF of Fractions 8346/525,9408/390 is 6/13650

Least Common Multiple of 525,390 with GCF Formula

Least Common Multiple of 525,390 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 525,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,390) = 15

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

GCF(525,390) x common factors =15 x 1 = 15

LCM(525,390) = ( 525 × 390 ) / 15

LCM(525,390) = 204750 / 15

LCM(525,390) = 13650


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 8346/525, 9408/390

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 8346/525, 9408/390?

Answer: GCF of Numerators as per given numbers 8346/525, 9408/390 is

GCF of Numerators i.e. for 8346,9408 is 6

LCM of denominators i.e. for 525,390 is 13650.

Thus, GCF of Fractions is 6/13650.Finally, GCF of Fractions for 8346/525, 9408/390 is 6/13650.