How to Find GCF of 4872/328, 5899/7560?

GCF of 4872/328, 5899/7560

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 4872/328, 5899/7560 i.e 1/309960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4872/328, 5899/7560.

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 4872/328,5899/7560?

Given fractions are 4872/328,5899/7560

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 4872/328,5899/7560, numerators are 4872,5899

Denominators are 328,7560

The GCF of 4872,5899 is 1 .

LCM of 328,7560 is 309960.

The greatest common factor of 4872/328,5899/7560 = [GCF of 4872,5899]/[LCM of 328,7560]= 1/309960

Therefore, the GCF of 4872/328,5899/7560 is 1/309960.

Greatest Common Factor of 4872,5899

To find the highest common factor of 4872,5899, we have to find the factors of both numbers and list the highest common factor.

The factors of 4872 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436, 4872

The factors of 5899 are 1, 17, 347, 5899

The HCF of 4872,5899 is 1.

Lets's calculate GCF of 4872,5899

Greatest Common Factor (GCF) of 4872,5899 By Common Division

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

Greatest Common Factor of 4872,5899 By Matching Biggest Common Factor Method

Now, list down the factors of 4872

1,2,3,4,6,7,8,12,14,21,24,28,29,42,56,58,84,87,116,168,174,203,232,348,406,609,696,812,1218,1624,2436,4872

Now, list down the factors of 5899

1,17,347,5899

Greatest Common Factor

We found the factors 4872,5899 . The biggest common factor number is the GCF number.
So the greatest common factor 4872,5899 is 1.

Lets's calculate LCM of 328,7560

Lowest Common Multiple of 328,7560 using Common Division

2	328, 7560
2	164, 3780
2	82, 1890
	41, 945

∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 945 = 309960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/309960

Therefore, the GCF of Fractions 4872/328,5899/7560 is 1/309960

Least Common Multiple of 328,7560 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 328,7560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,7560) = 8

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

GCF(328,7560) x common factors =8 x 1 = 8

LCM(328,7560) = ( 328 × 7560 ) / 8

LCM(328,7560) = 2479680 / 8

LCM(328,7560) = 309960

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FAQs on GCF of Fractions of 4872/328, 5899/7560

1. What is the HCF of 4872,5899?

The HCF of 4872,5899 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 4872/328, 5899/7560?

Answer: GCF of Numerators as per given numbers 4872/328, 5899/7560 is

GCF of Numerators i.e. for 4872,5899 is 1

LCM of denominators i.e. for 328,7560 is 309960.

Thus, GCF of Fractions is 1/309960.Finally, GCF of Fractions for 4872/328, 5899/7560 is 1/309960.