GCF of 9822/300, 7685/4563
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9822/300, 7685/4563 i.e 1/456300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9822/300, 7685/4563.
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 9822/300,7685/4563?
Given fractions are 9822/300,7685/4563
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 9822/300,7685/4563, numerators are 9822,7685
Denominators are 300,4563
The GCF of 9822,7685 is 1 .
LCM of 300,4563 is 456300.
The greatest common factor of 9822/300,7685/4563 = [GCF of 9822,7685]/[LCM of 300,4563]= 1/456300
Therefore, the GCF of 9822/300,7685/4563 is 1/456300.
To find the highest common factor of 9822,7685, we have to find the factors of both numbers and list the highest common factor.
The factors of 9822 are 1, 2, 3, 6, 1637, 3274, 4911, 9822
The factors of 7685 are 1, 5, 29, 53, 145, 265, 1537, 7685
The HCF of 9822,7685 is 1.
Lets's calculate GCF of 9822,7685
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9822,7685 By Matching Biggest Common Factor Method
Now, list down the factors of 9822
:1,2,3,6,1637,3274,4911,9822
Now, list down the factors of 7685
:1,5,29,53,145,265,1537,7685
Greatest Common Factor
We found the factors 9822,7685 . The biggest common factor number is the GCF number.
So the greatest common factor 9822,7685 is 1.
Lets's calculate LCM of 300,4563
| 3 | 300, 4563 |
| 100, 1521 |
∴ So the LCM of the given numbers is 3 x 100 x 1521 = 456300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/456300
Therefore, the GCF of Fractions 9822/300,7685/4563 is 1/456300
Least Common Multiple of 300,4563 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 300,4563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(300,4563) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(300,4563) x common factors =3 x 1 = 3
LCM(300,4563) = ( 300 × 4563 ) / 3
LCM(300,4563) = 1368900 / 3
LCM(300,4563) = 456300
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FAQs on GCF of Fractions of 9822/300, 7685/4563
1. What is the HCF of 9822,7685?
The HCF of 9822,7685 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 9822/300, 7685/4563?
Answer: GCF of Numerators as per given numbers 9822/300, 7685/4563 is
GCF of Numerators i.e. for 9822,7685 is 1
LCM of denominators i.e. for 300,4563 is 456300.
Thus, GCF of Fractions is 1/456300.Finally, GCF of Fractions for 9822/300, 7685/4563 is 1/456300.