How to Find GCF of 3784/459, 5876/4768?

GCF of 3784/459, 5876/4768

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 3784/459, 5876/4768 i.e 4/2188512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3784/459, 5876/4768.

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 3784/459,5876/4768?

Given fractions are 3784/459,5876/4768

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 3784/459,5876/4768, numerators are 3784,5876

Denominators are 459,4768

The GCF of 3784,5876 is 4 .

LCM of 459,4768 is 2188512.

The greatest common factor of 3784/459,5876/4768 = [GCF of 3784,5876]/[LCM of 459,4768]= 4/2188512

Therefore, the GCF of 3784/459,5876/4768 is 4/2188512.

Greatest Common Factor of 3784,5876

To find the highest common factor of 3784,5876, we have to find the factors of both numbers and list the highest common factor.

The factors of 3784 are 1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892, 3784

The factors of 5876 are 1, 2, 4, 13, 26, 52, 113, 226, 452, 1469, 2938, 5876

The HCF of 3784,5876 is 4.

Lets's calculate GCF of 3784,5876

Greatest Common Factor (GCF) of 3784,5876 By Common Division

2	3784, 5876
2	1892, 2938
	946, 1469

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

Greatest Common Factor of 3784,5876 By Matching Biggest Common Factor Method

Now, list down the factors of 3784

1,2,4,8,11,22,43,44,86,88,172,344,473,946,1892,3784

Now, list down the factors of 5876

1,2,4,13,26,52,113,226,452,1469,2938,5876

Greatest Common Factor

We found the factors 3784,5876 . The biggest common factor number is the GCF number.
So the greatest common factor 3784,5876 is 4.

Lets's calculate LCM of 459,4768

Lowest Common Multiple of 459,4768 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2188512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2188512

Therefore, the GCF of Fractions 3784/459,5876/4768 is 4/2188512

Least Common Multiple of 459,4768 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 459,4768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,4768) = 1

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

GCF(459,4768) x common factors =1 x 1 = 1

LCM(459,4768) = ( 459 × 4768 ) / 1

LCM(459,4768) = 2188512 / 1

LCM(459,4768) = 2188512

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FAQs on GCF of Fractions of 3784/459, 5876/4768

1. What is the HCF of 3784,5876?

The HCF of 3784,5876 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 3784/459, 5876/4768?

Answer: GCF of Numerators as per given numbers 3784/459, 5876/4768 is

GCF of Numerators i.e. for 3784,5876 is 4

LCM of denominators i.e. for 459,4768 is 2188512.

Thus, GCF of Fractions is 4/2188512.Finally, GCF of Fractions for 3784/459, 5876/4768 is 4/2188512.