GCF of 9873/736, 9822/9234
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9873/736, 9822/9234 i.e 3/3398112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9873/736, 9822/9234.
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 9873/736,9822/9234?
Given fractions are 9873/736,9822/9234
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 9873/736,9822/9234, numerators are 9873,9822
Denominators are 736,9234
The GCF of 9873,9822 is 3 .
LCM of 736,9234 is 3398112.
The greatest common factor of 9873/736,9822/9234 = [GCF of 9873,9822]/[LCM of 736,9234]= 3/3398112
Therefore, the GCF of 9873/736,9822/9234 is 3/3398112.
To find the highest common factor of 9873,9822, we have to find the factors of both numbers and list the highest common factor.
The factors of 9873 are 1, 3, 9, 1097, 3291, 9873
The factors of 9822 are 1, 2, 3, 6, 1637, 3274, 4911, 9822
The HCF of 9873,9822 is 3.
Lets's calculate GCF of 9873,9822
| 3 | 9873, 9822 |
| 3291, 3274 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9873,9822 By Matching Biggest Common Factor Method
Now, list down the factors of 9873
:1,3,9,1097,3291,9873
Now, list down the factors of 9822
:1,2,3,6,1637,3274,4911,9822
Greatest Common Factor
We found the factors 9873,9822 . The biggest common factor number is the GCF number.
So the greatest common factor 9873,9822 is 3.
Lets's calculate LCM of 736,9234
| 2 | 736, 9234 |
| 368, 4617 |
∴ So the LCM of the given numbers is 2 x 368 x 4617 = 3398112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3398112
Therefore, the GCF of Fractions 9873/736,9822/9234 is 3/3398112
Least Common Multiple of 736,9234 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 736,9234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,9234) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(736,9234) x common factors =2 x 1 = 2
LCM(736,9234) = ( 736 × 9234 ) / 2
LCM(736,9234) = 6796224 / 2
LCM(736,9234) = 3398112
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FAQs on GCF of Fractions of 9873/736, 9822/9234
1. What is the HCF of 9873,9822?
The HCF of 9873,9822 is 3
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 9873/736, 9822/9234?
Answer: GCF of Numerators as per given numbers 9873/736, 9822/9234 is
GCF of Numerators i.e. for 9873,9822 is 3
LCM of denominators i.e. for 736,9234 is 3398112.
Thus, GCF of Fractions is 3/3398112.Finally, GCF of Fractions for 9873/736, 9822/9234 is 3/3398112.