How to Find GCF of 825/300, 2518/452?

GCF of 825/300, 2518/452

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 825/300, 2518/452 i.e 1/33900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 825/300, 2518/452.

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 825/300,2518/452?

Given fractions are 825/300,2518/452

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 825/300,2518/452, numerators are 825,2518

Denominators are 300,452

The GCF of 825,2518 is 1 .

LCM of 300,452 is 33900.

The greatest common factor of 825/300,2518/452 = [GCF of 825,2518]/[LCM of 300,452]= 1/33900

Therefore, the GCF of 825/300,2518/452 is 1/33900.

Greatest Common Factor of 825,2518

To find the highest common factor of 825,2518, we have to find the factors of both numbers and list the highest common factor.

The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

The factors of 2518 are 1, 2, 1259, 2518

The HCF of 825,2518 is 1.

Lets's calculate GCF of 825,2518

Greatest Common Factor (GCF) of 825,2518 By Common Division

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

Greatest Common Factor of 825,2518 By Matching Biggest Common Factor Method

Now, list down the factors of 825

1,3,5,11,15,25,33,55,75,165,275,825

Now, list down the factors of 2518

1,2,1259,2518

Greatest Common Factor

We found the factors 825,2518 . The biggest common factor number is the GCF number.
So the greatest common factor 825,2518 is 1.

Lets's calculate LCM of 300,452

Lowest Common Multiple of 300,452 using Common Division

2	300, 452
2	150, 226
	75, 113

∴ So the LCM of the given numbers is 2 x 2 x 75 x 113 = 33900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33900

Therefore, the GCF of Fractions 825/300,2518/452 is 1/33900

Least Common Multiple of 300,452 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 300,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,452) = 4

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

GCF(300,452) x common factors =4 x 1 = 4

LCM(300,452) = ( 300 × 452 ) / 4

LCM(300,452) = 135600 / 4

LCM(300,452) = 33900

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 825/300, 2518/452

1. What is the HCF of 825,2518?

The HCF of 825,2518 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 825/300, 2518/452?

Answer: GCF of Numerators as per given numbers 825/300, 2518/452 is

GCF of Numerators i.e. for 825,2518 is 1

LCM of denominators i.e. for 300,452 is 33900.

Thus, GCF of Fractions is 1/33900.Finally, GCF of Fractions for 825/300, 2518/452 is 1/33900.