How to Find GCF of 9664/372, 8066/1640?

GCF of 9664/372, 8066/1640

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 9664/372, 8066/1640 i.e 2/152520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9664/372, 8066/1640.

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 9664/372,8066/1640?

Given fractions are 9664/372,8066/1640

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 9664/372,8066/1640, numerators are 9664,8066

Denominators are 372,1640

The GCF of 9664,8066 is 2 .

LCM of 372,1640 is 152520.

The greatest common factor of 9664/372,8066/1640 = [GCF of 9664,8066]/[LCM of 372,1640]= 2/152520

Therefore, the GCF of 9664/372,8066/1640 is 2/152520.

Greatest Common Factor of 9664,8066

To find the highest common factor of 9664,8066, we have to find the factors of both numbers and list the highest common factor.

The factors of 9664 are 1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664

The factors of 8066 are 1, 2, 37, 74, 109, 218, 4033, 8066

The HCF of 9664,8066 is 2.

Lets's calculate GCF of 9664,8066

Greatest Common Factor (GCF) of 9664,8066 By Common Division

2	9664, 8066
	4832, 4033

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

Greatest Common Factor of 9664,8066 By Matching Biggest Common Factor Method

Now, list down the factors of 9664

1,2,4,8,16,32,64,151,302,604,1208,2416,4832,9664

Now, list down the factors of 8066

1,2,37,74,109,218,4033,8066

Greatest Common Factor

We found the factors 9664,8066 . The biggest common factor number is the GCF number.
So the greatest common factor 9664,8066 is 2.

Lets's calculate LCM of 372,1640

Lowest Common Multiple of 372,1640 using Common Division

2	372, 1640
2	186, 820
	93, 410

∴ So the LCM of the given numbers is 2 x 2 x 93 x 410 = 152520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/152520

Therefore, the GCF of Fractions 9664/372,8066/1640 is 2/152520

Least Common Multiple of 372,1640 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 372,1640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,1640) = 4

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

GCF(372,1640) x common factors =4 x 1 = 4

LCM(372,1640) = ( 372 × 1640 ) / 4

LCM(372,1640) = 610080 / 4

LCM(372,1640) = 152520

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9664/372, 8066/1640

1. What is the HCF of 9664,8066?

The HCF of 9664,8066 is 2

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 9664/372, 8066/1640?

Answer: GCF of Numerators as per given numbers 9664/372, 8066/1640 is

GCF of Numerators i.e. for 9664,8066 is 2

LCM of denominators i.e. for 372,1640 is 152520.

Thus, GCF of Fractions is 2/152520.Finally, GCF of Fractions for 9664/372, 8066/1640 is 2/152520.