How to Find GCF of 9477/236, 4564/5848?

GCF of 9477/236, 4564/5848

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 9477/236, 4564/5848 i.e 1/345032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9477/236, 4564/5848.

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 9477/236,4564/5848?

Given fractions are 9477/236,4564/5848

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 9477/236,4564/5848, numerators are 9477,4564

Denominators are 236,5848

The GCF of 9477,4564 is 1 .

LCM of 236,5848 is 345032.

The greatest common factor of 9477/236,4564/5848 = [GCF of 9477,4564]/[LCM of 236,5848]= 1/345032

Therefore, the GCF of 9477/236,4564/5848 is 1/345032.

Greatest Common Factor of 9477,4564

To find the highest common factor of 9477,4564, we have to find the factors of both numbers and list the highest common factor.

The factors of 9477 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 729, 1053, 3159, 9477

The factors of 4564 are 1, 2, 4, 7, 14, 28, 163, 326, 652, 1141, 2282, 4564

The HCF of 9477,4564 is 1.

Lets's calculate GCF of 9477,4564

Greatest Common Factor (GCF) of 9477,4564 By Common Division

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

Greatest Common Factor of 9477,4564 By Matching Biggest Common Factor Method

Now, list down the factors of 9477

1,3,9,13,27,39,81,117,243,351,729,1053,3159,9477

Now, list down the factors of 4564

1,2,4,7,14,28,163,326,652,1141,2282,4564

Greatest Common Factor

We found the factors 9477,4564 . The biggest common factor number is the GCF number.
So the greatest common factor 9477,4564 is 1.

Lets's calculate LCM of 236,5848

Lowest Common Multiple of 236,5848 using Common Division

2	236, 5848
2	118, 2924
	59, 1462

∴ So the LCM of the given numbers is 2 x 2 x 59 x 1462 = 345032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/345032

Therefore, the GCF of Fractions 9477/236,4564/5848 is 1/345032

Least Common Multiple of 236,5848 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 236,5848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,5848) = 4

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

GCF(236,5848) x common factors =4 x 1 = 4

LCM(236,5848) = ( 236 × 5848 ) / 4

LCM(236,5848) = 1380128 / 4

LCM(236,5848) = 345032

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9477/236, 4564/5848

1. What is the HCF of 9477,4564?

The HCF of 9477,4564 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 9477/236, 4564/5848?

Answer: GCF of Numerators as per given numbers 9477/236, 4564/5848 is

GCF of Numerators i.e. for 9477,4564 is 1

LCM of denominators i.e. for 236,5848 is 345032.

Thus, GCF of Fractions is 1/345032.Finally, GCF of Fractions for 9477/236, 4564/5848 is 1/345032.