How to Find GCF of 4952/592, 5720/533?

GCF of 4952/592, 5720/533

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 4952/592, 5720/533 i.e 8/315536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4952/592, 5720/533.

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 4952/592,5720/533?

Given fractions are 4952/592,5720/533

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 4952/592,5720/533, numerators are 4952,5720

Denominators are 592,533

The GCF of 4952,5720 is 8 .

LCM of 592,533 is 315536.

The greatest common factor of 4952/592,5720/533 = [GCF of 4952,5720]/[LCM of 592,533]= 8/315536

Therefore, the GCF of 4952/592,5720/533 is 8/315536.

Greatest Common Factor of 4952,5720

To find the highest common factor of 4952,5720, we have to find the factors of both numbers and list the highest common factor.

The factors of 4952 are 1, 2, 4, 8, 619, 1238, 2476, 4952

The factors of 5720 are 1, 2, 4, 5, 8, 10, 11, 13, 20, 22, 26, 40, 44, 52, 55, 65, 88, 104, 110, 130, 143, 220, 260, 286, 440, 520, 572, 715, 1144, 1430, 2860, 5720

The HCF of 4952,5720 is 8.

Lets's calculate GCF of 4952,5720

Greatest Common Factor (GCF) of 4952,5720 By Common Division

2	4952, 5720
2	2476, 2860
2	1238, 1430
	619, 715

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4952,5720 By Matching Biggest Common Factor Method

Now, list down the factors of 4952

1,2,4,8,619,1238,2476,4952

Now, list down the factors of 5720

1,2,4,5,8,10,11,13,20,22,26,40,44,52,55,65,88,104,110,130,143,220,260,286,440,520,572,715,1144,1430,2860,5720

Greatest Common Factor

We found the factors 4952,5720 . The biggest common factor number is the GCF number.
So the greatest common factor 4952,5720 is 8.

Lets's calculate LCM of 592,533

Lowest Common Multiple of 592,533 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 315536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/315536

Therefore, the GCF of Fractions 4952/592,5720/533 is 8/315536

Least Common Multiple of 592,533 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 592,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,533) = 1

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

GCF(592,533) x common factors =1 x 1 = 1

LCM(592,533) = ( 592 × 533 ) / 1

LCM(592,533) = 315536 / 1

LCM(592,533) = 315536

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4952/592, 5720/533

1. What is the HCF of 4952,5720?

The HCF of 4952,5720 is 8

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 4952/592, 5720/533?

Answer: GCF of Numerators as per given numbers 4952/592, 5720/533 is

GCF of Numerators i.e. for 4952,5720 is 8

LCM of denominators i.e. for 592,533 is 315536.

Thus, GCF of Fractions is 8/315536.Finally, GCF of Fractions for 4952/592, 5720/533 is 8/315536.