How to Find GCF of 9042/450, 1514/9563?

GCF of 9042/450, 1514/9563

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 9042/450, 1514/9563 i.e 2/4303350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9042/450, 1514/9563.

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 9042/450,1514/9563?

Given fractions are 9042/450,1514/9563

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 9042/450,1514/9563, numerators are 9042,1514

Denominators are 450,9563

The GCF of 9042,1514 is 2 .

LCM of 450,9563 is 4303350.

The greatest common factor of 9042/450,1514/9563 = [GCF of 9042,1514]/[LCM of 450,9563]= 2/4303350

Therefore, the GCF of 9042/450,1514/9563 is 2/4303350.

Greatest Common Factor of 9042,1514

To find the highest common factor of 9042,1514, we have to find the factors of both numbers and list the highest common factor.

The factors of 9042 are 1, 2, 3, 6, 11, 22, 33, 66, 137, 274, 411, 822, 1507, 3014, 4521, 9042

The factors of 1514 are 1, 2, 757, 1514

The HCF of 9042,1514 is 2.

Lets's calculate GCF of 9042,1514

Greatest Common Factor (GCF) of 9042,1514 By Common Division

2	9042, 1514
	4521, 757

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9042,1514 By Matching Biggest Common Factor Method

Now, list down the factors of 9042

1,2,3,6,11,22,33,66,137,274,411,822,1507,3014,4521,9042

Now, list down the factors of 1514

1,2,757,1514

Greatest Common Factor

We found the factors 9042,1514 . The biggest common factor number is the GCF number.
So the greatest common factor 9042,1514 is 2.

Lets's calculate LCM of 450,9563

Lowest Common Multiple of 450,9563 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4303350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4303350

Therefore, the GCF of Fractions 9042/450,1514/9563 is 2/4303350

Least Common Multiple of 450,9563 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 450,9563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,9563) = 1

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

GCF(450,9563) x common factors =1 x 1 = 1

LCM(450,9563) = ( 450 × 9563 ) / 1

LCM(450,9563) = 4303350 / 1

LCM(450,9563) = 4303350

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9042/450, 1514/9563

1. What is the HCF of 9042,1514?

The HCF of 9042,1514 is 2

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 9042/450, 1514/9563?

Answer: GCF of Numerators as per given numbers 9042/450, 1514/9563 is

GCF of Numerators i.e. for 9042,1514 is 2

LCM of denominators i.e. for 450,9563 is 4303350.

Thus, GCF of Fractions is 2/4303350.Finally, GCF of Fractions for 9042/450, 1514/9563 is 2/4303350.