Greatest Common Factor of 8429/734, 7161/1396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8429/734, 7161/1396

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 8429/734,7161/1396

Given fractions are 8429/734,7161/1396

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 8429,7161

Greatest Common Factor of Numerators i.e. GCF of 8429,7161 is 1 .

LCM of Denominators means LCM of 734,1396 as per the given fractions.

LCM of 734,1396 is 512332 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8429,7161

GCF of Fractions 8429/734,7161/1396 is 1/512332

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

Greatest Common Factor of 8429,7161 By Matching Biggest Common Factor Method

Greatest Common Factor of 8429,7161 By Matching Biggest Common Factor Method

Factors of 8429

List of positive integer factors of 8429 that divides 8429 without a remainder.

1,8429

Factors of 7161

List of positive integer factors of 7161 that divides 7161 without a remainder.

1,3,7,11,21,31,33,77,93,217,231,341,651,1023,2387,7161

Greatest Common Factor

We found the factors 8429,7161 . The biggest common factor number is the GCF number.
So the greatest common factor 8429,7161 is 1.

Lets's calculate LCM of 734,1396

2 734, 1396
367, 698

∴ So the LCM of the given numbers is 2 x 367 x 698 = 512332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/512332

Therefore, the GCF of Fractions 8429/734,7161/1396 is 1/512332

Least Common Multiple of 734,1396 with GCF Formula

Least Common Multiple of 734,1396 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 734,1396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,1396) = 2

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

GCF(734,1396) x common factors =2 x 1 = 2

LCM(734,1396) = ( 734 × 1396 ) / 2

LCM(734,1396) = 1024664 / 2

LCM(734,1396) = 512332


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 8429/734, 7161/1396

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 8429/734, 7161/1396?

Answer: GCF of Numerators as per given numbers 8429/734, 7161/1396 is

GCF of Numerators i.e. for 8429,7161 is 1

LCM of denominators i.e. for 734,1396 is 512332.

Thus, GCF of Fractions is 1/512332.Finally, GCF of Fractions for 8429/734, 7161/1396 is 1/512332.