How to Find GCF of 506/984, 4671/1176?

GCF of 506/984, 4671/1176

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 506/984, 4671/1176 i.e 1/48216 easily. The following is the detailed procedure to determine the greatest common factor of fractions 506/984, 4671/1176.

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 506/984,4671/1176?

Given fractions are 506/984,4671/1176

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 506/984,4671/1176, numerators are 506,4671

Denominators are 984,1176

The GCF of 506,4671 is 1 .

LCM of 984,1176 is 48216.

The greatest common factor of 506/984,4671/1176 = [GCF of 506,4671]/[LCM of 984,1176]= 1/48216

Therefore, the GCF of 506/984,4671/1176 is 1/48216.

Greatest Common Factor of 506,4671

To find the highest common factor of 506,4671, we have to find the factors of both numbers and list the highest common factor.

The factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506

The factors of 4671 are 1, 3, 9, 27, 173, 519, 1557, 4671

The HCF of 506,4671 is 1.

Lets's calculate GCF of 506,4671

Greatest Common Factor (GCF) of 506,4671 By Common Division

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

Greatest Common Factor of 506,4671 By Matching Biggest Common Factor Method

Now, list down the factors of 506

1,2,11,22,23,46,253,506

Now, list down the factors of 4671

1,3,9,27,173,519,1557,4671

Greatest Common Factor

We found the factors 506,4671 . The biggest common factor number is the GCF number.
So the greatest common factor 506,4671 is 1.

Lets's calculate LCM of 984,1176

Lowest Common Multiple of 984,1176 using Common Division

2	984, 1176
2	492, 588
2	246, 294
3	123, 147
	41, 49

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 41 x 49 = 48216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48216

Therefore, the GCF of Fractions 506/984,4671/1176 is 1/48216

Least Common Multiple of 984,1176 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 984,1176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,1176) = 24

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

GCF(984,1176) x common factors =24 x 1 = 24

LCM(984,1176) = ( 984 × 1176 ) / 24

LCM(984,1176) = 1157184 / 24

LCM(984,1176) = 48216

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FAQs on GCF of Fractions of 506/984, 4671/1176

1. What is the HCF of 506,4671?

The HCF of 506,4671 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 506/984, 4671/1176?

Answer: GCF of Numerators as per given numbers 506/984, 4671/1176 is

GCF of Numerators i.e. for 506,4671 is 1

LCM of denominators i.e. for 984,1176 is 48216.

Thus, GCF of Fractions is 1/48216.Finally, GCF of Fractions for 506/984, 4671/1176 is 1/48216.