GCF of 9357/534, 9924/9890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9357/534, 9924/9890 i.e 3/2640630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9357/534, 9924/9890.
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 9357/534,9924/9890?
Given fractions are 9357/534,9924/9890
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 9357/534,9924/9890, numerators are 9357,9924
Denominators are 534,9890
The GCF of 9357,9924 is 3 .
LCM of 534,9890 is 2640630.
The greatest common factor of 9357/534,9924/9890 = [GCF of 9357,9924]/[LCM of 534,9890]= 3/2640630
Therefore, the GCF of 9357/534,9924/9890 is 3/2640630.
To find the highest common factor of 9357,9924, we have to find the factors of both numbers and list the highest common factor.
The factors of 9357 are 1, 3, 3119, 9357
The factors of 9924 are 1, 2, 3, 4, 6, 12, 827, 1654, 2481, 3308, 4962, 9924
The HCF of 9357,9924 is 3.
Lets's calculate GCF of 9357,9924
| 3 | 9357, 9924 |
| 3119, 3308 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9357,9924 By Matching Biggest Common Factor Method
Now, list down the factors of 9357
:1,3,3119,9357
Now, list down the factors of 9924
:1,2,3,4,6,12,827,1654,2481,3308,4962,9924
Greatest Common Factor
We found the factors 9357,9924 . The biggest common factor number is the GCF number.
So the greatest common factor 9357,9924 is 3.
Lets's calculate LCM of 534,9890
| 2 | 534, 9890 |
| 267, 4945 |
∴ So the LCM of the given numbers is 2 x 267 x 4945 = 2640630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2640630
Therefore, the GCF of Fractions 9357/534,9924/9890 is 3/2640630
Least Common Multiple of 534,9890 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 534,9890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,9890) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(534,9890) x common factors =2 x 1 = 2
LCM(534,9890) = ( 534 × 9890 ) / 2
LCM(534,9890) = 5281260 / 2
LCM(534,9890) = 2640630
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FAQs on GCF of Fractions of 9357/534, 9924/9890
1. What is the HCF of 9357,9924?
The HCF of 9357,9924 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 9357/534, 9924/9890?
Answer: GCF of Numerators as per given numbers 9357/534, 9924/9890 is
GCF of Numerators i.e. for 9357,9924 is 3
LCM of denominators i.e. for 534,9890 is 2640630.
Thus, GCF of Fractions is 3/2640630.Finally, GCF of Fractions for 9357/534, 9924/9890 is 3/2640630.