How to Find GCF of 6016/173, 6724/9234?

GCF of 6016/173, 6724/9234

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 6016/173, 6724/9234 i.e 4/1597482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6016/173, 6724/9234.

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 6016/173,6724/9234?

Given fractions are 6016/173,6724/9234

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 6016/173,6724/9234, numerators are 6016,6724

Denominators are 173,9234

The GCF of 6016,6724 is 4 .

LCM of 173,9234 is 1597482.

The greatest common factor of 6016/173,6724/9234 = [GCF of 6016,6724]/[LCM of 173,9234]= 4/1597482

Therefore, the GCF of 6016/173,6724/9234 is 4/1597482.

Greatest Common Factor of 6016,6724

To find the highest common factor of 6016,6724, we have to find the factors of both numbers and list the highest common factor.

The factors of 6016 are 1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 376, 752, 1504, 3008, 6016

The factors of 6724 are 1, 2, 4, 41, 82, 164, 1681, 3362, 6724

The HCF of 6016,6724 is 4.

Lets's calculate GCF of 6016,6724

Greatest Common Factor (GCF) of 6016,6724 By Common Division

2	6016, 6724
2	3008, 3362
	1504, 1681

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6016,6724 By Matching Biggest Common Factor Method

Now, list down the factors of 6016

1,2,4,8,16,32,47,64,94,128,188,376,752,1504,3008,6016

Now, list down the factors of 6724

1,2,4,41,82,164,1681,3362,6724

Greatest Common Factor

We found the factors 6016,6724 . The biggest common factor number is the GCF number.
So the greatest common factor 6016,6724 is 4.

Lets's calculate LCM of 173,9234

Lowest Common Multiple of 173,9234 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1597482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1597482

Therefore, the GCF of Fractions 6016/173,6724/9234 is 4/1597482

Least Common Multiple of 173,9234 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 173,9234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(173,9234) = 1

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

GCF(173,9234) x common factors =1 x 1 = 1

LCM(173,9234) = ( 173 × 9234 ) / 1

LCM(173,9234) = 1597482 / 1

LCM(173,9234) = 1597482

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6016/173, 6724/9234

1. What is the HCF of 6016,6724?

The HCF of 6016,6724 is 4

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 6016/173, 6724/9234?

Answer: GCF of Numerators as per given numbers 6016/173, 6724/9234 is

GCF of Numerators i.e. for 6016,6724 is 4

LCM of denominators i.e. for 173,9234 is 1597482.

Thus, GCF of Fractions is 4/1597482.Finally, GCF of Fractions for 6016/173, 6724/9234 is 4/1597482.