GCF of 9339/821, 5390/7824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9339/821, 5390/7824 i.e 11/6423504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9339/821, 5390/7824.
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 9339/821,5390/7824?
Given fractions are 9339/821,5390/7824
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 9339/821,5390/7824, numerators are 9339,5390
Denominators are 821,7824
The GCF of 9339,5390 is 11 .
LCM of 821,7824 is 6423504.
The greatest common factor of 9339/821,5390/7824 = [GCF of 9339,5390]/[LCM of 821,7824]= 11/6423504
Therefore, the GCF of 9339/821,5390/7824 is 11/6423504.
To find the highest common factor of 9339,5390, we have to find the factors of both numbers and list the highest common factor.
The factors of 9339 are 1, 3, 11, 33, 283, 849, 3113, 9339
The factors of 5390 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 154, 245, 385, 490, 539, 770, 1078, 2695, 5390
The HCF of 9339,5390 is 11.
Lets's calculate GCF of 9339,5390
| 11 | 9339, 5390 |
| 849, 490 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 9339,5390 By Matching Biggest Common Factor Method
Now, list down the factors of 9339
:1,3,11,33,283,849,3113,9339
Now, list down the factors of 5390
:1,2,5,7,10,11,14,22,35,49,55,70,77,98,110,154,245,385,490,539,770,1078,2695,5390
Greatest Common Factor
We found the factors 9339,5390 . The biggest common factor number is the GCF number.
So the greatest common factor 9339,5390 is 11.
Lets's calculate LCM of 821,7824
Given numbers has no common factors except 1. So, there LCM is their product i.e 6423504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/6423504
Therefore, the GCF of Fractions 9339/821,5390/7824 is 11/6423504
Least Common Multiple of 821,7824 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 821,7824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,7824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,7824) x common factors =1 x 1 = 1
LCM(821,7824) = ( 821 × 7824 ) / 1
LCM(821,7824) = 6423504 / 1
LCM(821,7824) = 6423504
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FAQs on GCF of Fractions of 9339/821, 5390/7824
1. What is the HCF of 9339,5390?
The HCF of 9339,5390 is 11
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 9339/821, 5390/7824?
Answer: GCF of Numerators as per given numbers 9339/821, 5390/7824 is
GCF of Numerators i.e. for 9339,5390 is 11
LCM of denominators i.e. for 821,7824 is 6423504.
Thus, GCF of Fractions is 11/6423504.Finally, GCF of Fractions for 9339/821, 5390/7824 is 11/6423504.