GCF of 9789/284, 1553/6180
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9789/284, 1553/6180 i.e 1/438780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9789/284, 1553/6180.
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 9789/284,1553/6180?
Given fractions are 9789/284,1553/6180
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 9789/284,1553/6180, numerators are 9789,1553
Denominators are 284,6180
The GCF of 9789,1553 is 1 .
LCM of 284,6180 is 438780.
The greatest common factor of 9789/284,1553/6180 = [GCF of 9789,1553]/[LCM of 284,6180]= 1/438780
Therefore, the GCF of 9789/284,1553/6180 is 1/438780.
To find the highest common factor of 9789,1553, we have to find the factors of both numbers and list the highest common factor.
The factors of 9789 are 1, 3, 13, 39, 251, 753, 3263, 9789
The factors of 1553 are 1, 1553
The HCF of 9789,1553 is 1.
Lets's calculate GCF of 9789,1553
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9789,1553 By Matching Biggest Common Factor Method
Now, list down the factors of 9789
:1,3,13,39,251,753,3263,9789
Now, list down the factors of 1553
:1,1553
Greatest Common Factor
We found the factors 9789,1553 . The biggest common factor number is the GCF number.
So the greatest common factor 9789,1553 is 1.
Lets's calculate LCM of 284,6180
| 2 | 284, 6180 |
| 2 | 142, 3090 |
| 71, 1545 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 1545 = 438780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/438780
Therefore, the GCF of Fractions 9789/284,1553/6180 is 1/438780
Least Common Multiple of 284,6180 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 284,6180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,6180) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(284,6180) x common factors =4 x 1 = 4
LCM(284,6180) = ( 284 × 6180 ) / 4
LCM(284,6180) = 1755120 / 4
LCM(284,6180) = 438780
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9789/284, 1553/6180
1. What is the HCF of 9789,1553?
The HCF of 9789,1553 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 9789/284, 1553/6180?
Answer: GCF of Numerators as per given numbers 9789/284, 1553/6180 is
GCF of Numerators i.e. for 9789,1553 is 1
LCM of denominators i.e. for 284,6180 is 438780.
Thus, GCF of Fractions is 1/438780.Finally, GCF of Fractions for 9789/284, 1553/6180 is 1/438780.