How to Find GCF of 4820/731, 2487/4995?

GCF of 4820/731, 2487/4995

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 4820/731, 2487/4995 i.e 1/3651345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4820/731, 2487/4995.

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 4820/731,2487/4995?

Given fractions are 4820/731,2487/4995

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 4820/731,2487/4995, numerators are 4820,2487

Denominators are 731,4995

The GCF of 4820,2487 is 1 .

LCM of 731,4995 is 3651345.

The greatest common factor of 4820/731,2487/4995 = [GCF of 4820,2487]/[LCM of 731,4995]= 1/3651345

Therefore, the GCF of 4820/731,2487/4995 is 1/3651345.

Greatest Common Factor of 4820,2487

To find the highest common factor of 4820,2487, we have to find the factors of both numbers and list the highest common factor.

The factors of 4820 are 1, 2, 4, 5, 10, 20, 241, 482, 964, 1205, 2410, 4820

The factors of 2487 are 1, 3, 829, 2487

The HCF of 4820,2487 is 1.

Lets's calculate GCF of 4820,2487

Greatest Common Factor (GCF) of 4820,2487 By Common Division

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

Greatest Common Factor of 4820,2487 By Matching Biggest Common Factor Method

Now, list down the factors of 4820

1,2,4,5,10,20,241,482,964,1205,2410,4820

Now, list down the factors of 2487

1,3,829,2487

Greatest Common Factor

We found the factors 4820,2487 . The biggest common factor number is the GCF number.
So the greatest common factor 4820,2487 is 1.

Lets's calculate LCM of 731,4995

Lowest Common Multiple of 731,4995 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3651345

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3651345

Therefore, the GCF of Fractions 4820/731,2487/4995 is 1/3651345

Least Common Multiple of 731,4995 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 731,4995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,4995) = 1

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

GCF(731,4995) x common factors =1 x 1 = 1

LCM(731,4995) = ( 731 × 4995 ) / 1

LCM(731,4995) = 3651345 / 1

LCM(731,4995) = 3651345

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FAQs on GCF of Fractions of 4820/731, 2487/4995

1. What is the HCF of 4820,2487?

The HCF of 4820,2487 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 4820/731, 2487/4995?

Answer: GCF of Numerators as per given numbers 4820/731, 2487/4995 is

GCF of Numerators i.e. for 4820,2487 is 1

LCM of denominators i.e. for 731,4995 is 3651345.

Thus, GCF of Fractions is 1/3651345.Finally, GCF of Fractions for 4820/731, 2487/4995 is 1/3651345.