How to Find GCF of 4787/720, 5234/2130?

GCF of 4787/720, 5234/2130

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 4787/720, 5234/2130 i.e 1/51120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4787/720, 5234/2130.

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 4787/720,5234/2130?

Given fractions are 4787/720,5234/2130

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 4787/720,5234/2130, numerators are 4787,5234

Denominators are 720,2130

The GCF of 4787,5234 is 1 .

LCM of 720,2130 is 51120.

The greatest common factor of 4787/720,5234/2130 = [GCF of 4787,5234]/[LCM of 720,2130]= 1/51120

Therefore, the GCF of 4787/720,5234/2130 is 1/51120.

Greatest Common Factor of 4787,5234

To find the highest common factor of 4787,5234, we have to find the factors of both numbers and list the highest common factor.

The factors of 4787 are 1, 4787

The factors of 5234 are 1, 2, 2617, 5234

The HCF of 4787,5234 is 1.

Lets's calculate GCF of 4787,5234

Greatest Common Factor (GCF) of 4787,5234 By Common Division

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

Greatest Common Factor of 4787,5234 By Matching Biggest Common Factor Method

Now, list down the factors of 4787

1,4787

Now, list down the factors of 5234

1,2,2617,5234

Greatest Common Factor

We found the factors 4787,5234 . The biggest common factor number is the GCF number.
So the greatest common factor 4787,5234 is 1.

Lets's calculate LCM of 720,2130

Lowest Common Multiple of 720,2130 using Common Division

2	720, 2130
3	360, 1065
5	120, 355
	24, 71

∴ So the LCM of the given numbers is 2 x 3 x 5 x 24 x 71 = 51120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51120

Therefore, the GCF of Fractions 4787/720,5234/2130 is 1/51120

Least Common Multiple of 720,2130 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 720,2130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,2130) = 30

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

GCF(720,2130) x common factors =30 x 1 = 30

LCM(720,2130) = ( 720 × 2130 ) / 30

LCM(720,2130) = 1533600 / 30

LCM(720,2130) = 51120

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FAQs on GCF of Fractions of 4787/720, 5234/2130

1. What is the HCF of 4787,5234?

The HCF of 4787,5234 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 4787/720, 5234/2130?

Answer: GCF of Numerators as per given numbers 4787/720, 5234/2130 is

GCF of Numerators i.e. for 4787,5234 is 1

LCM of denominators i.e. for 720,2130 is 51120.

Thus, GCF of Fractions is 1/51120.Finally, GCF of Fractions for 4787/720, 5234/2130 is 1/51120.