How to Find GCF of 4334/180, 8009/4068?

GCF of 4334/180, 8009/4068

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 4334/180, 8009/4068 i.e 1/20340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4334/180, 8009/4068.

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 4334/180,8009/4068?

Given fractions are 4334/180,8009/4068

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 4334/180,8009/4068, numerators are 4334,8009

Denominators are 180,4068

The GCF of 4334,8009 is 1 .

LCM of 180,4068 is 20340.

The greatest common factor of 4334/180,8009/4068 = [GCF of 4334,8009]/[LCM of 180,4068]= 1/20340

Therefore, the GCF of 4334/180,8009/4068 is 1/20340.

Greatest Common Factor of 4334,8009

To find the highest common factor of 4334,8009, we have to find the factors of both numbers and list the highest common factor.

The factors of 4334 are 1, 2, 11, 22, 197, 394, 2167, 4334

The factors of 8009 are 1, 8009

The HCF of 4334,8009 is 1.

Lets's calculate GCF of 4334,8009

Greatest Common Factor (GCF) of 4334,8009 By Common Division

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

Greatest Common Factor of 4334,8009 By Matching Biggest Common Factor Method

Now, list down the factors of 4334

1,2,11,22,197,394,2167,4334

Now, list down the factors of 8009

1,8009

Greatest Common Factor

We found the factors 4334,8009 . The biggest common factor number is the GCF number.
So the greatest common factor 4334,8009 is 1.

Lets's calculate LCM of 180,4068

Lowest Common Multiple of 180,4068 using Common Division

2	180, 4068
2	90, 2034
3	45, 1017
3	15, 339
	5, 113

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 113 = 20340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20340

Therefore, the GCF of Fractions 4334/180,8009/4068 is 1/20340

Least Common Multiple of 180,4068 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 180,4068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,4068) = 36

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

GCF(180,4068) x common factors =36 x 1 = 36

LCM(180,4068) = ( 180 × 4068 ) / 36

LCM(180,4068) = 732240 / 36

LCM(180,4068) = 20340

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4334/180, 8009/4068

1. What is the HCF of 4334,8009?

The HCF of 4334,8009 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 4334/180, 8009/4068?

Answer: GCF of Numerators as per given numbers 4334/180, 8009/4068 is

GCF of Numerators i.e. for 4334,8009 is 1

LCM of denominators i.e. for 180,4068 is 20340.

Thus, GCF of Fractions is 1/20340.Finally, GCF of Fractions for 4334/180, 8009/4068 is 1/20340.