How to Find GCF of 4987/410, 4587/9510?

GCF of 4987/410, 4587/9510

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 4987/410, 4587/9510 i.e 1/389910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4987/410, 4587/9510.

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 4987/410,4587/9510?

Given fractions are 4987/410,4587/9510

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 4987/410,4587/9510, numerators are 4987,4587

Denominators are 410,9510

The GCF of 4987,4587 is 1 .

LCM of 410,9510 is 389910.

The greatest common factor of 4987/410,4587/9510 = [GCF of 4987,4587]/[LCM of 410,9510]= 1/389910

Therefore, the GCF of 4987/410,4587/9510 is 1/389910.

Greatest Common Factor of 4987,4587

To find the highest common factor of 4987,4587, we have to find the factors of both numbers and list the highest common factor.

The factors of 4987 are 1, 4987

The factors of 4587 are 1, 3, 11, 33, 139, 417, 1529, 4587

The HCF of 4987,4587 is 1.

Lets's calculate GCF of 4987,4587

Greatest Common Factor (GCF) of 4987,4587 By Common Division

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

Greatest Common Factor of 4987,4587 By Matching Biggest Common Factor Method

Now, list down the factors of 4987

1,4987

Now, list down the factors of 4587

1,3,11,33,139,417,1529,4587

Greatest Common Factor

We found the factors 4987,4587 . The biggest common factor number is the GCF number.
So the greatest common factor 4987,4587 is 1.

Lets's calculate LCM of 410,9510

Lowest Common Multiple of 410,9510 using Common Division

2	410, 9510
5	205, 4755
	41, 951

∴ So the LCM of the given numbers is 2 x 5 x 41 x 951 = 389910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/389910

Therefore, the GCF of Fractions 4987/410,4587/9510 is 1/389910

Least Common Multiple of 410,9510 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 410,9510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,9510) = 10

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

GCF(410,9510) x common factors =10 x 1 = 10

LCM(410,9510) = ( 410 × 9510 ) / 10

LCM(410,9510) = 3899100 / 10

LCM(410,9510) = 389910

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FAQs on GCF of Fractions of 4987/410, 4587/9510

1. What is the HCF of 4987,4587?

The HCF of 4987,4587 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 4987/410, 4587/9510?

Answer: GCF of Numerators as per given numbers 4987/410, 4587/9510 is

GCF of Numerators i.e. for 4987,4587 is 1

LCM of denominators i.e. for 410,9510 is 389910.

Thus, GCF of Fractions is 1/389910.Finally, GCF of Fractions for 4987/410, 4587/9510 is 1/389910.