How to Find GCF of 5923/556, 1163/3684?

GCF of 5923/556, 1163/3684

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 5923/556, 1163/3684 i.e 1/512076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5923/556, 1163/3684.

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 5923/556,1163/3684?

Given fractions are 5923/556,1163/3684

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 5923/556,1163/3684, numerators are 5923,1163

Denominators are 556,3684

The GCF of 5923,1163 is 1 .

LCM of 556,3684 is 512076.

The greatest common factor of 5923/556,1163/3684 = [GCF of 5923,1163]/[LCM of 556,3684]= 1/512076

Therefore, the GCF of 5923/556,1163/3684 is 1/512076.

Greatest Common Factor of 5923,1163

To find the highest common factor of 5923,1163, we have to find the factors of both numbers and list the highest common factor.

The factors of 5923 are 1, 5923

The factors of 1163 are 1, 1163

The HCF of 5923,1163 is 1.

Lets's calculate GCF of 5923,1163

Greatest Common Factor (GCF) of 5923,1163 By Common Division

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

Greatest Common Factor of 5923,1163 By Matching Biggest Common Factor Method

Now, list down the factors of 5923

1,5923

Now, list down the factors of 1163

1,1163

Greatest Common Factor

We found the factors 5923,1163 . The biggest common factor number is the GCF number.
So the greatest common factor 5923,1163 is 1.

Lets's calculate LCM of 556,3684

Lowest Common Multiple of 556,3684 using Common Division

2	556, 3684
2	278, 1842
	139, 921

∴ So the LCM of the given numbers is 2 x 2 x 139 x 921 = 512076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/512076

Therefore, the GCF of Fractions 5923/556,1163/3684 is 1/512076

Least Common Multiple of 556,3684 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 556,3684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,3684) = 4

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

GCF(556,3684) x common factors =4 x 1 = 4

LCM(556,3684) = ( 556 × 3684 ) / 4

LCM(556,3684) = 2048304 / 4

LCM(556,3684) = 512076

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5923/556, 1163/3684

1. What is the HCF of 5923,1163?

The HCF of 5923,1163 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 5923/556, 1163/3684?

Answer: GCF of Numerators as per given numbers 5923/556, 1163/3684 is

GCF of Numerators i.e. for 5923,1163 is 1

LCM of denominators i.e. for 556,3684 is 512076.

Thus, GCF of Fractions is 1/512076.Finally, GCF of Fractions for 5923/556, 1163/3684 is 1/512076.