How to Find GCF of 8960/604, 6568/2201?

GCF of 8960/604, 6568/2201

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 8960/604, 6568/2201 i.e 8/1329404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8960/604, 6568/2201.

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 8960/604,6568/2201?

Given fractions are 8960/604,6568/2201

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 8960/604,6568/2201, numerators are 8960,6568

Denominators are 604,2201

The GCF of 8960,6568 is 8 .

LCM of 604,2201 is 1329404.

The greatest common factor of 8960/604,6568/2201 = [GCF of 8960,6568]/[LCM of 604,2201]= 8/1329404

Therefore, the GCF of 8960/604,6568/2201 is 8/1329404.

Greatest Common Factor of 8960,6568

To find the highest common factor of 8960,6568, we have to find the factors of both numbers and list the highest common factor.

The factors of 8960 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 560, 640, 896, 1120, 1280, 1792, 2240, 4480, 8960

The factors of 6568 are 1, 2, 4, 8, 821, 1642, 3284, 6568

The HCF of 8960,6568 is 8.

Lets's calculate GCF of 8960,6568

Greatest Common Factor (GCF) of 8960,6568 By Common Division

2	8960, 6568
2	4480, 3284
2	2240, 1642
	1120, 821

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 8960,6568 By Matching Biggest Common Factor Method

Now, list down the factors of 8960

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,256,280,320,448,560,640,896,1120,1280,1792,2240,4480,8960

Now, list down the factors of 6568

1,2,4,8,821,1642,3284,6568

Greatest Common Factor

We found the factors 8960,6568 . The biggest common factor number is the GCF number.
So the greatest common factor 8960,6568 is 8.

Lets's calculate LCM of 604,2201

Lowest Common Multiple of 604,2201 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1329404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1329404

Therefore, the GCF of Fractions 8960/604,6568/2201 is 8/1329404

Least Common Multiple of 604,2201 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 604,2201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,2201) = 1

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

GCF(604,2201) x common factors =1 x 1 = 1

LCM(604,2201) = ( 604 × 2201 ) / 1

LCM(604,2201) = 1329404 / 1

LCM(604,2201) = 1329404

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FAQs on GCF of Fractions of 8960/604, 6568/2201

1. What is the HCF of 8960,6568?

The HCF of 8960,6568 is 8

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 8960/604, 6568/2201?

Answer: GCF of Numerators as per given numbers 8960/604, 6568/2201 is

GCF of Numerators i.e. for 8960,6568 is 8

LCM of denominators i.e. for 604,2201 is 1329404.

Thus, GCF of Fractions is 8/1329404.Finally, GCF of Fractions for 8960/604, 6568/2201 is 8/1329404.