How to Find GCF of 468/574, 8595/2841?

GCF of 468/574, 8595/2841

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 468/574, 8595/2841 i.e 9/1630734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 468/574, 8595/2841.

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 468/574,8595/2841?

Given fractions are 468/574,8595/2841

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 468/574,8595/2841, numerators are 468,8595

Denominators are 574,2841

The GCF of 468,8595 is 9 .

LCM of 574,2841 is 1630734.

The greatest common factor of 468/574,8595/2841 = [GCF of 468,8595]/[LCM of 574,2841]= 9/1630734

Therefore, the GCF of 468/574,8595/2841 is 9/1630734.

Greatest Common Factor of 468,8595

To find the highest common factor of 468,8595, we have to find the factors of both numbers and list the highest common factor.

The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

The factors of 8595 are 1, 3, 5, 9, 15, 45, 191, 573, 955, 1719, 2865, 8595

The HCF of 468,8595 is 9.

Lets's calculate GCF of 468,8595

Greatest Common Factor (GCF) of 468,8595 By Common Division

3	468, 8595
3	156, 2865
	52, 955

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 468,8595 By Matching Biggest Common Factor Method

Now, list down the factors of 468

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Now, list down the factors of 8595

1,3,5,9,15,45,191,573,955,1719,2865,8595

Greatest Common Factor

We found the factors 468,8595 . The biggest common factor number is the GCF number.
So the greatest common factor 468,8595 is 9.

Lets's calculate LCM of 574,2841

Lowest Common Multiple of 574,2841 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1630734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1630734

Therefore, the GCF of Fractions 468/574,8595/2841 is 9/1630734

Least Common Multiple of 574,2841 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 574,2841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,2841) = 1

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

GCF(574,2841) x common factors =1 x 1 = 1

LCM(574,2841) = ( 574 × 2841 ) / 1

LCM(574,2841) = 1630734 / 1

LCM(574,2841) = 1630734

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 468/574, 8595/2841

1. What is the HCF of 468,8595?

The HCF of 468,8595 is 9

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 468/574, 8595/2841?

Answer: GCF of Numerators as per given numbers 468/574, 8595/2841 is

GCF of Numerators i.e. for 468,8595 is 9

LCM of denominators i.e. for 574,2841 is 1630734.

Thus, GCF of Fractions is 9/1630734.Finally, GCF of Fractions for 468/574, 8595/2841 is 9/1630734.