Greatest Common Factor of 9738/678, 8826/8159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9738/678, 8826/8159

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 9738/678,8826/8159

Given fractions are 9738/678,8826/8159

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 9738,8826

Greatest Common Factor of Numerators i.e. GCF of 9738,8826 is 6 .

LCM of Denominators means LCM of 678,8159 as per the given fractions.

LCM of 678,8159 is 5531802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9738,8826

GCF of Fractions 9738/678,8826/8159 is 6/5531802

2 9738, 8826
3 4869, 4413
1623, 1471

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

Greatest Common Factor of 9738,8826 By Matching Biggest Common Factor Method

Greatest Common Factor of 9738,8826 By Matching Biggest Common Factor Method

Factors of 9738

List of positive integer factors of 9738 that divides 9738 without a remainder.

1,2,3,6,9,18,541,1082,1623,3246,4869,9738

Factors of 8826

List of positive integer factors of 8826 that divides 8826 without a remainder.

1,2,3,6,1471,2942,4413,8826

Greatest Common Factor

We found the factors 9738,8826 . The biggest common factor number is the GCF number.
So the greatest common factor 9738,8826 is 6.

Lets's calculate LCM of 678,8159

Given numbers has no common factors except 1. So, there LCM is their product i.e 5531802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5531802

Therefore, the GCF of Fractions 9738/678,8826/8159 is 6/5531802

Least Common Multiple of 678,8159 with GCF Formula

Least Common Multiple of 678,8159 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 678,8159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,8159) = 1

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

GCF(678,8159) x common factors =1 x 1 = 1

LCM(678,8159) = ( 678 × 8159 ) / 1

LCM(678,8159) = 5531802 / 1

LCM(678,8159) = 5531802


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 9738/678, 8826/8159

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 9738/678, 8826/8159?

Answer: GCF of Numerators as per given numbers 9738/678, 8826/8159 is

GCF of Numerators i.e. for 9738,8826 is 6

LCM of denominators i.e. for 678,8159 is 5531802.

Thus, GCF of Fractions is 6/5531802.Finally, GCF of Fractions for 9738/678, 8826/8159 is 6/5531802.