How to Find GCF of 50/78, 58/87, 609/784?

GCF of 50/78, 58/87, 609/784

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 50/78, 58/87, 609/784 i.e 1/886704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/78, 58/87, 609/784.

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 50/78,58/87,609/784?

Given fractions are 50/78,58/87,609/784

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 50/78,58/87,609/784, numerators are 50,58,609

Denominators are 78,87,784

The GCF of 50,58,609 is 1 .

LCM of 78,87,784 is 886704.

The greatest common factor of 50/78,58/87,609/784 = [GCF of 50,58,609]/[LCM of 78,87,784]= 1/886704

Therefore, the GCF of 50/78,58/87,609/784 is 1/886704.

Greatest Common Factor of 50,58,609

To find the highest common factor of 50,58,609, we have to find the factors of both numbers and list the highest common factor.

The factors of 50 are 1, 2, 5, 10, 25, 50

The factors of 58 are 1, 2, 29, 58

The factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609

The HCF of 50,58,609 is 1.

Lets's calculate GCF of 50,58,609

Greatest Common Factor (GCF) of 50,58,609 By Common Division

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

Greatest Common Factor of 50,58,609 By Matching Biggest Common Factor Method

Now, list down the factors of 50

1,2,5,10,25,50

Now, list down the factors of 58

1,2,29,58

Now, list down the factors of 609

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 50,58,609 . The biggest common factor number is the GCF number.
So the greatest common factor 50,58,609 is 1.

Lets's calculate LCM of 78,87,784

Lowest Common Multiple of 78,87,784 using Common Division

2	78, 87, 784
3	39, 87, 392
	13, 29, 392

∴ So the LCM of the given numbers is 2 x 3 x 13 x 29 x 392 = 886704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/886704

Therefore, the GCF of Fractions 50/78,58/87,609/784 is 1/886704

Least Common Multiple of 78,87,784 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 78,87,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,87,784) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,87,784) x common factors =1 x 6 = 6

LCM(78,87,784) = ( 78 × 87 × 784 ) / 6

LCM(78,87,784) = 5320224 / 6

LCM(78,87,784) = 886704

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 50/78, 58/87, 609/784

1. What is the HCF of 50,58,609?

The HCF of 50,58,609 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 50/78, 58/87, 609/784?

Answer: GCF of Numerators as per given numbers 50/78, 58/87, 609/784 is

GCF of Numerators i.e. for 50,58,609 is 1

LCM of denominators i.e. for 78,87,784 is 886704.

Thus, GCF of Fractions is 1/886704.Finally, GCF of Fractions for 50/78, 58/87, 609/784 is 1/886704.