How to Find GCF of 8905/604, 4621/4592?

GCF of 8905/604, 4621/4592

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 8905/604, 4621/4592 i.e 1/693392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8905/604, 4621/4592.

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 8905/604,4621/4592?

Given fractions are 8905/604,4621/4592

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 8905/604,4621/4592, numerators are 8905,4621

Denominators are 604,4592

The GCF of 8905,4621 is 1 .

LCM of 604,4592 is 693392.

The greatest common factor of 8905/604,4621/4592 = [GCF of 8905,4621]/[LCM of 604,4592]= 1/693392

Therefore, the GCF of 8905/604,4621/4592 is 1/693392.

Greatest Common Factor of 8905,4621

To find the highest common factor of 8905,4621, we have to find the factors of both numbers and list the highest common factor.

The factors of 8905 are 1, 5, 13, 65, 137, 685, 1781, 8905

The factors of 4621 are 1, 4621

The HCF of 8905,4621 is 1.

Lets's calculate GCF of 8905,4621

Greatest Common Factor (GCF) of 8905,4621 By Common Division

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

Greatest Common Factor of 8905,4621 By Matching Biggest Common Factor Method

Now, list down the factors of 8905

1,5,13,65,137,685,1781,8905

Now, list down the factors of 4621

1,4621

Greatest Common Factor

We found the factors 8905,4621 . The biggest common factor number is the GCF number.
So the greatest common factor 8905,4621 is 1.

Lets's calculate LCM of 604,4592

Lowest Common Multiple of 604,4592 using Common Division

2	604, 4592
2	302, 2296
	151, 1148

∴ So the LCM of the given numbers is 2 x 2 x 151 x 1148 = 693392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/693392

Therefore, the GCF of Fractions 8905/604,4621/4592 is 1/693392

Least Common Multiple of 604,4592 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 604,4592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,4592) = 4

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

GCF(604,4592) x common factors =4 x 1 = 4

LCM(604,4592) = ( 604 × 4592 ) / 4

LCM(604,4592) = 2773568 / 4

LCM(604,4592) = 693392

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FAQs on GCF of Fractions of 8905/604, 4621/4592

1. What is the HCF of 8905,4621?

The HCF of 8905,4621 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 8905/604, 4621/4592?

Answer: GCF of Numerators as per given numbers 8905/604, 4621/4592 is

GCF of Numerators i.e. for 8905,4621 is 1

LCM of denominators i.e. for 604,4592 is 693392.

Thus, GCF of Fractions is 1/693392.Finally, GCF of Fractions for 8905/604, 4621/4592 is 1/693392.