GCF of 5253/613, 9306/5720
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5253/613, 9306/5720 i.e 3/3506360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5253/613, 9306/5720.
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 5253/613,9306/5720?
Given fractions are 5253/613,9306/5720
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 5253/613,9306/5720, numerators are 5253,9306
Denominators are 613,5720
The GCF of 5253,9306 is 3 .
LCM of 613,5720 is 3506360.
The greatest common factor of 5253/613,9306/5720 = [GCF of 5253,9306]/[LCM of 613,5720]= 3/3506360
Therefore, the GCF of 5253/613,9306/5720 is 3/3506360.
To find the highest common factor of 5253,9306, we have to find the factors of both numbers and list the highest common factor.
The factors of 5253 are 1, 3, 17, 51, 103, 309, 1751, 5253
The factors of 9306 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 47, 66, 94, 99, 141, 198, 282, 423, 517, 846, 1034, 1551, 3102, 4653, 9306
The HCF of 5253,9306 is 3.
Lets's calculate GCF of 5253,9306
| 3 | 5253, 9306 |
| 1751, 3102 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5253,9306 By Matching Biggest Common Factor Method
Now, list down the factors of 5253
:1,3,17,51,103,309,1751,5253
Now, list down the factors of 9306
:1,2,3,6,9,11,18,22,33,47,66,94,99,141,198,282,423,517,846,1034,1551,3102,4653,9306
Greatest Common Factor
We found the factors 5253,9306 . The biggest common factor number is the GCF number.
So the greatest common factor 5253,9306 is 3.
Lets's calculate LCM of 613,5720
Given numbers has no common factors except 1. So, there LCM is their product i.e 3506360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3506360
Therefore, the GCF of Fractions 5253/613,9306/5720 is 3/3506360
Least Common Multiple of 613,5720 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 613,5720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,5720) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,5720) x common factors =1 x 1 = 1
LCM(613,5720) = ( 613 × 5720 ) / 1
LCM(613,5720) = 3506360 / 1
LCM(613,5720) = 3506360
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FAQs on GCF of Fractions of 5253/613, 9306/5720
1. What is the HCF of 5253,9306?
The HCF of 5253,9306 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 5253/613, 9306/5720?
Answer: GCF of Numerators as per given numbers 5253/613, 9306/5720 is
GCF of Numerators i.e. for 5253,9306 is 3
LCM of denominators i.e. for 613,5720 is 3506360.
Thus, GCF of Fractions is 3/3506360.Finally, GCF of Fractions for 5253/613, 9306/5720 is 3/3506360.