How to Find GCF of 2992/39, 4832/726?

GCF of 2992/39, 4832/726

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 2992/39, 4832/726 i.e 16/9438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2992/39, 4832/726.

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 2992/39,4832/726?

Given fractions are 2992/39,4832/726

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 2992/39,4832/726, numerators are 2992,4832

Denominators are 39,726

The GCF of 2992,4832 is 16 .

LCM of 39,726 is 9438.

The greatest common factor of 2992/39,4832/726 = [GCF of 2992,4832]/[LCM of 39,726]= 16/9438

Therefore, the GCF of 2992/39,4832/726 is 16/9438.

Greatest Common Factor of 2992,4832

To find the highest common factor of 2992,4832, we have to find the factors of both numbers and list the highest common factor.

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

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

The HCF of 2992,4832 is 16.

Lets's calculate GCF of 2992,4832

Greatest Common Factor (GCF) of 2992,4832 By Common Division

2	2992, 4832
2	1496, 2416
2	748, 1208
2	374, 604
	187, 302

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 2992,4832 By Matching Biggest Common Factor Method

Now, list down the factors of 2992

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

Now, list down the factors of 4832

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

Greatest Common Factor

We found the factors 2992,4832 . The biggest common factor number is the GCF number.
So the greatest common factor 2992,4832 is 16.

Lets's calculate LCM of 39,726

Lowest Common Multiple of 39,726 using Common Division

3	39, 726
	13, 242

∴ So the LCM of the given numbers is 3 x 13 x 242 = 9438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/9438

Therefore, the GCF of Fractions 2992/39,4832/726 is 16/9438

Least Common Multiple of 39,726 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 39,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,726) = 3

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

GCF(39,726) x common factors =3 x 1 = 3

LCM(39,726) = ( 39 × 726 ) / 3

LCM(39,726) = 28314 / 3

LCM(39,726) = 9438

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FAQs on GCF of Fractions of 2992/39, 4832/726

1. What is the HCF of 2992,4832?

The HCF of 2992,4832 is 16

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 2992/39, 4832/726?

Answer: GCF of Numerators as per given numbers 2992/39, 4832/726 is

GCF of Numerators i.e. for 2992,4832 is 16

LCM of denominators i.e. for 39,726 is 9438.

Thus, GCF of Fractions is 16/9438.Finally, GCF of Fractions for 2992/39, 4832/726 is 16/9438.