How to Find GCF of 9243/544, 1531/164?

GCF of 9243/544, 1531/164

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 9243/544, 1531/164 i.e 1/22304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9243/544, 1531/164.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9243/544,1531/164?

Given fractions are 9243/544,1531/164

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9243/544,1531/164, numerators are 9243,1531

Denominators are 544,164

The GCF of 9243,1531 is 1 .

LCM of 544,164 is 22304.

The greatest common factor of 9243/544,1531/164 = [GCF of 9243,1531]/[LCM of 544,164]= 1/22304

Therefore, the GCF of 9243/544,1531/164 is 1/22304.

Greatest Common Factor of 9243,1531

To find the highest common factor of 9243,1531, we have to find the factors of both numbers and list the highest common factor.

The factors of 9243 are 1, 3, 9, 13, 39, 79, 117, 237, 711, 1027, 3081, 9243

The factors of 1531 are 1, 1531

The HCF of 9243,1531 is 1.

Lets's calculate GCF of 9243,1531

Greatest Common Factor (GCF) of 9243,1531 By Common Division

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

Greatest Common Factor of 9243,1531 By Matching Biggest Common Factor Method

Now, list down the factors of 9243

1,3,9,13,39,79,117,237,711,1027,3081,9243

Now, list down the factors of 1531

1,1531

Greatest Common Factor

We found the factors 9243,1531 . The biggest common factor number is the GCF number.
So the greatest common factor 9243,1531 is 1.

Lets's calculate LCM of 544,164

Lowest Common Multiple of 544,164 using Common Division

2	544, 164
2	272, 82
	136, 41

∴ So the LCM of the given numbers is 2 x 2 x 136 x 41 = 22304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22304

Therefore, the GCF of Fractions 9243/544,1531/164 is 1/22304

Least Common Multiple of 544,164 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 544,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,164) = 4

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

GCF(544,164) x common factors =4 x 1 = 4

LCM(544,164) = ( 544 × 164 ) / 4

LCM(544,164) = 89216 / 4

LCM(544,164) = 22304

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9243/544, 1531/164

1. What is the HCF of 9243,1531?

The HCF of 9243,1531 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 9243/544, 1531/164?

Answer: GCF of Numerators as per given numbers 9243/544, 1531/164 is

GCF of Numerators i.e. for 9243,1531 is 1

LCM of denominators i.e. for 544,164 is 22304.

Thus, GCF of Fractions is 1/22304.Finally, GCF of Fractions for 9243/544, 1531/164 is 1/22304.