How to Find GCF of 6609/656, 8320/206?

GCF of 6609/656, 8320/206

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 6609/656, 8320/206 i.e 1/67568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6609/656, 8320/206.

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 6609/656,8320/206?

Given fractions are 6609/656,8320/206

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 6609/656,8320/206, numerators are 6609,8320

Denominators are 656,206

The GCF of 6609,8320 is 1 .

LCM of 656,206 is 67568.

The greatest common factor of 6609/656,8320/206 = [GCF of 6609,8320]/[LCM of 656,206]= 1/67568

Therefore, the GCF of 6609/656,8320/206 is 1/67568.

Greatest Common Factor of 6609,8320

To find the highest common factor of 6609,8320, we have to find the factors of both numbers and list the highest common factor.

The factors of 6609 are 1, 3, 2203, 6609

The factors of 8320 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 260, 320, 416, 520, 640, 832, 1040, 1664, 2080, 4160, 8320

The HCF of 6609,8320 is 1.

Lets's calculate GCF of 6609,8320

Greatest Common Factor (GCF) of 6609,8320 By Common Division

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

Greatest Common Factor of 6609,8320 By Matching Biggest Common Factor Method

Now, list down the factors of 6609

1,3,2203,6609

Now, list down the factors of 8320

1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,128,130,160,208,260,320,416,520,640,832,1040,1664,2080,4160,8320

Greatest Common Factor

We found the factors 6609,8320 . The biggest common factor number is the GCF number.
So the greatest common factor 6609,8320 is 1.

Lets's calculate LCM of 656,206

Lowest Common Multiple of 656,206 using Common Division

2	656, 206
	328, 103

∴ So the LCM of the given numbers is 2 x 328 x 103 = 67568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67568

Therefore, the GCF of Fractions 6609/656,8320/206 is 1/67568

Least Common Multiple of 656,206 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 656,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,206) = 2

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

GCF(656,206) x common factors =2 x 1 = 2

LCM(656,206) = ( 656 × 206 ) / 2

LCM(656,206) = 135136 / 2

LCM(656,206) = 67568

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6609/656, 8320/206

1. What is the HCF of 6609,8320?

The HCF of 6609,8320 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 6609/656, 8320/206?

Answer: GCF of Numerators as per given numbers 6609/656, 8320/206 is

GCF of Numerators i.e. for 6609,8320 is 1

LCM of denominators i.e. for 656,206 is 67568.

Thus, GCF of Fractions is 1/67568.Finally, GCF of Fractions for 6609/656, 8320/206 is 1/67568.