How to Find GCF of 4656/740, 4563/5224?

GCF of 4656/740, 4563/5224

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 4656/740, 4563/5224 i.e 3/966440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4656/740, 4563/5224.

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 4656/740,4563/5224?

Given fractions are 4656/740,4563/5224

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 4656/740,4563/5224, numerators are 4656,4563

Denominators are 740,5224

The GCF of 4656,4563 is 3 .

LCM of 740,5224 is 966440.

The greatest common factor of 4656/740,4563/5224 = [GCF of 4656,4563]/[LCM of 740,5224]= 3/966440

Therefore, the GCF of 4656/740,4563/5224 is 3/966440.

Greatest Common Factor of 4656,4563

To find the highest common factor of 4656,4563, we have to find the factors of both numbers and list the highest common factor.

The factors of 4656 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 4656

The factors of 4563 are 1, 3, 9, 13, 27, 39, 117, 169, 351, 507, 1521, 4563

The HCF of 4656,4563 is 3.

Lets's calculate GCF of 4656,4563

Greatest Common Factor (GCF) of 4656,4563 By Common Division

3	4656, 4563
	1552, 1521

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4656,4563 By Matching Biggest Common Factor Method

Now, list down the factors of 4656

1,2,3,4,6,8,12,16,24,48,97,194,291,388,582,776,1164,1552,2328,4656

Now, list down the factors of 4563

1,3,9,13,27,39,117,169,351,507,1521,4563

Greatest Common Factor

We found the factors 4656,4563 . The biggest common factor number is the GCF number.
So the greatest common factor 4656,4563 is 3.

Lets's calculate LCM of 740,5224

Lowest Common Multiple of 740,5224 using Common Division

2	740, 5224
2	370, 2612
	185, 1306

∴ So the LCM of the given numbers is 2 x 2 x 185 x 1306 = 966440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/966440

Therefore, the GCF of Fractions 4656/740,4563/5224 is 3/966440

Least Common Multiple of 740,5224 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 740,5224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,5224) = 4

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

GCF(740,5224) x common factors =4 x 1 = 4

LCM(740,5224) = ( 740 × 5224 ) / 4

LCM(740,5224) = 3865760 / 4

LCM(740,5224) = 966440

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FAQs on GCF of Fractions of 4656/740, 4563/5224

1. What is the HCF of 4656,4563?

The HCF of 4656,4563 is 3

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 4656/740, 4563/5224?

Answer: GCF of Numerators as per given numbers 4656/740, 4563/5224 is

GCF of Numerators i.e. for 4656,4563 is 3

LCM of denominators i.e. for 740,5224 is 966440.

Thus, GCF of Fractions is 3/966440.Finally, GCF of Fractions for 4656/740, 4563/5224 is 3/966440.