How to Find GCF of 9150/360, 1633/254?

GCF of 9150/360, 1633/254

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 9150/360, 1633/254 i.e 1/45720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9150/360, 1633/254.

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 9150/360,1633/254?

Given fractions are 9150/360,1633/254

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 9150/360,1633/254, numerators are 9150,1633

Denominators are 360,254

The GCF of 9150,1633 is 1 .

LCM of 360,254 is 45720.

The greatest common factor of 9150/360,1633/254 = [GCF of 9150,1633]/[LCM of 360,254]= 1/45720

Therefore, the GCF of 9150/360,1633/254 is 1/45720.

Greatest Common Factor of 9150,1633

To find the highest common factor of 9150,1633, we have to find the factors of both numbers and list the highest common factor.

The factors of 9150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 61, 75, 122, 150, 183, 305, 366, 610, 915, 1525, 1830, 3050, 4575, 9150

The factors of 1633 are 1, 23, 71, 1633

The HCF of 9150,1633 is 1.

Lets's calculate GCF of 9150,1633

Greatest Common Factor (GCF) of 9150,1633 By Common Division

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

Greatest Common Factor of 9150,1633 By Matching Biggest Common Factor Method

Now, list down the factors of 9150

1,2,3,5,6,10,15,25,30,50,61,75,122,150,183,305,366,610,915,1525,1830,3050,4575,9150

Now, list down the factors of 1633

1,23,71,1633

Greatest Common Factor

We found the factors 9150,1633 . The biggest common factor number is the GCF number.
So the greatest common factor 9150,1633 is 1.

Lets's calculate LCM of 360,254

Lowest Common Multiple of 360,254 using Common Division

2	360, 254
	180, 127

∴ So the LCM of the given numbers is 2 x 180 x 127 = 45720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45720

Therefore, the GCF of Fractions 9150/360,1633/254 is 1/45720

Least Common Multiple of 360,254 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 360,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,254) = 2

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

GCF(360,254) x common factors =2 x 1 = 2

LCM(360,254) = ( 360 × 254 ) / 2

LCM(360,254) = 91440 / 2

LCM(360,254) = 45720

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9150/360, 1633/254

1. What is the HCF of 9150,1633?

The HCF of 9150,1633 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 9150/360, 1633/254?

Answer: GCF of Numerators as per given numbers 9150/360, 1633/254 is

GCF of Numerators i.e. for 9150,1633 is 1

LCM of denominators i.e. for 360,254 is 45720.

Thus, GCF of Fractions is 1/45720.Finally, GCF of Fractions for 9150/360, 1633/254 is 1/45720.