How to Find GCF of 5984/156, 4611/424?

GCF of 5984/156, 4611/424

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 5984/156, 4611/424 i.e 1/16536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5984/156, 4611/424.

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 5984/156,4611/424?

Given fractions are 5984/156,4611/424

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 5984/156,4611/424, numerators are 5984,4611

Denominators are 156,424

The GCF of 5984,4611 is 1 .

LCM of 156,424 is 16536.

The greatest common factor of 5984/156,4611/424 = [GCF of 5984,4611]/[LCM of 156,424]= 1/16536

Therefore, the GCF of 5984/156,4611/424 is 1/16536.

Greatest Common Factor of 5984,4611

To find the highest common factor of 5984,4611, we have to find the factors of both numbers and list the highest common factor.

The factors of 5984 are 1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 68, 88, 136, 176, 187, 272, 352, 374, 544, 748, 1496, 2992, 5984

The factors of 4611 are 1, 3, 29, 53, 87, 159, 1537, 4611

The HCF of 5984,4611 is 1.

Lets's calculate GCF of 5984,4611

Greatest Common Factor (GCF) of 5984,4611 By Common Division

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

Greatest Common Factor of 5984,4611 By Matching Biggest Common Factor Method

Now, list down the factors of 5984

1,2,4,8,11,16,17,22,32,34,44,68,88,136,176,187,272,352,374,544,748,1496,2992,5984

Now, list down the factors of 4611

1,3,29,53,87,159,1537,4611

Greatest Common Factor

We found the factors 5984,4611 . The biggest common factor number is the GCF number.
So the greatest common factor 5984,4611 is 1.

Lets's calculate LCM of 156,424

Lowest Common Multiple of 156,424 using Common Division

2	156, 424
2	78, 212
	39, 106

∴ So the LCM of the given numbers is 2 x 2 x 39 x 106 = 16536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16536

Therefore, the GCF of Fractions 5984/156,4611/424 is 1/16536

Least Common Multiple of 156,424 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 156,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,424) = 4

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

GCF(156,424) x common factors =4 x 1 = 4

LCM(156,424) = ( 156 × 424 ) / 4

LCM(156,424) = 66144 / 4

LCM(156,424) = 16536

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FAQs on GCF of Fractions of 5984/156, 4611/424

1. What is the HCF of 5984,4611?

The HCF of 5984,4611 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 5984/156, 4611/424?

Answer: GCF of Numerators as per given numbers 5984/156, 4611/424 is

GCF of Numerators i.e. for 5984,4611 is 1

LCM of denominators i.e. for 156,424 is 16536.

Thus, GCF of Fractions is 1/16536.Finally, GCF of Fractions for 5984/156, 4611/424 is 1/16536.