How to Find GCF of 95/299, 399/507, 300/584?

GCF of 95/299, 399/507, 300/584

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 95/299, 399/507, 300/584 i.e 1/6810024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 95/299, 399/507, 300/584.

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 95/299,399/507,300/584?

Given fractions are 95/299,399/507,300/584

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 95/299,399/507,300/584, numerators are 95,399,300

Denominators are 299,507,584

The GCF of 95,399,300 is 1 .

LCM of 299,507,584 is 6810024.

The greatest common factor of 95/299,399/507,300/584 = [GCF of 95,399,300]/[LCM of 299,507,584]= 1/6810024

Therefore, the GCF of 95/299,399/507,300/584 is 1/6810024.

Greatest Common Factor of 95,399,300

To find the highest common factor of 95,399,300, we have to find the factors of both numbers and list the highest common factor.

The factors of 95 are 1, 5, 19, 95

The factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399

The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

The HCF of 95,399,300 is 1.

Lets's calculate GCF of 95,399,300

Greatest Common Factor (GCF) of 95,399,300 By Common Division

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

Greatest Common Factor of 95,399,300 By Matching Biggest Common Factor Method

Now, list down the factors of 95

1,5,19,95

Now, list down the factors of 399

1,3,7,19,21,57,133,399

Now, list down the factors of 300

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 95,399,300 . The biggest common factor number is the GCF number.
So the greatest common factor 95,399,300 is 1.

Lets's calculate LCM of 299,507,584

Lowest Common Multiple of 299,507,584 using Common Division

13	299, 507, 584
	23, 39, 584

∴ So the LCM of the given numbers is 13 x 23 x 39 x 584 = 6810024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6810024

Therefore, the GCF of Fractions 95/299,399/507,300/584 is 1/6810024

Least Common Multiple of 299,507,584 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 299,507,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,507,584) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(299,507,584) x common factors =1 x 13 = 13

LCM(299,507,584) = ( 299 × 507 × 584 ) / 13

LCM(299,507,584) = 88530312 / 13

LCM(299,507,584) = 6810024

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 95/299, 399/507, 300/584

1. What is the HCF of 95,399,300?

The HCF of 95,399,300 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 95/299, 399/507, 300/584?

Answer: GCF of Numerators as per given numbers 95/299, 399/507, 300/584 is

GCF of Numerators i.e. for 95,399,300 is 1

LCM of denominators i.e. for 299,507,584 is 6810024.

Thus, GCF of Fractions is 1/6810024.Finally, GCF of Fractions for 95/299, 399/507, 300/584 is 1/6810024.