Greatest Common Factor of 5823/658, 7026/9217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5823/658, 7026/9217

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 5823/658,7026/9217

Given fractions are 5823/658,7026/9217

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 5823,7026

Greatest Common Factor of Numerators i.e. GCF of 5823,7026 is 3 .

LCM of Denominators means LCM of 658,9217 as per the given fractions.

LCM of 658,9217 is 6064786 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5823,7026

GCF of Fractions 5823/658,7026/9217 is 3/6064786

3 5823, 7026
1941, 2342

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5823,7026 By Matching Biggest Common Factor Method

Greatest Common Factor of 5823,7026 By Matching Biggest Common Factor Method

Factors of 5823

List of positive integer factors of 5823 that divides 5823 without a remainder.

1,3,9,647,1941,5823

Factors of 7026

List of positive integer factors of 7026 that divides 7026 without a remainder.

1,2,3,6,1171,2342,3513,7026

Greatest Common Factor

We found the factors 5823,7026 . The biggest common factor number is the GCF number.
So the greatest common factor 5823,7026 is 3.

Lets's calculate LCM of 658,9217

Given numbers has no common factors except 1. So, there LCM is their product i.e 6064786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6064786

Therefore, the GCF of Fractions 5823/658,7026/9217 is 3/6064786

Least Common Multiple of 658,9217 with GCF Formula

Least Common Multiple of 658,9217 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 658,9217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,9217) = 1

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

GCF(658,9217) x common factors =1 x 1 = 1

LCM(658,9217) = ( 658 × 9217 ) / 1

LCM(658,9217) = 6064786 / 1

LCM(658,9217) = 6064786


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 5823/658, 7026/9217

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 5823/658, 7026/9217?

Answer: GCF of Numerators as per given numbers 5823/658, 7026/9217 is

GCF of Numerators i.e. for 5823,7026 is 3

LCM of denominators i.e. for 658,9217 is 6064786.

Thus, GCF of Fractions is 3/6064786.Finally, GCF of Fractions for 5823/658, 7026/9217 is 3/6064786.