GCF of 9396/869, 5713/2913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9396/869, 5713/2913 i.e 29/2531397 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9396/869, 5713/2913.
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 9396/869,5713/2913?
Given fractions are 9396/869,5713/2913
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 9396/869,5713/2913, numerators are 9396,5713
Denominators are 869,2913
The GCF of 9396,5713 is 29 .
LCM of 869,2913 is 2531397.
The greatest common factor of 9396/869,5713/2913 = [GCF of 9396,5713]/[LCM of 869,2913]= 29/2531397
Therefore, the GCF of 9396/869,5713/2913 is 29/2531397.
To find the highest common factor of 9396,5713, we have to find the factors of both numbers and list the highest common factor.
The factors of 9396 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 81, 87, 108, 116, 162, 174, 261, 324, 348, 522, 783, 1044, 1566, 2349, 3132, 4698, 9396
The factors of 5713 are 1, 29, 197, 5713
The HCF of 9396,5713 is 29.
Lets's calculate GCF of 9396,5713
| 29 | 9396, 5713 |
| 324, 197 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 9396,5713 By Matching Biggest Common Factor Method
Now, list down the factors of 9396
:1,2,3,4,6,9,12,18,27,29,36,54,58,81,87,108,116,162,174,261,324,348,522,783,1044,1566,2349,3132,4698,9396
Now, list down the factors of 5713
:1,29,197,5713
Greatest Common Factor
We found the factors 9396,5713 . The biggest common factor number is the GCF number.
So the greatest common factor 9396,5713 is 29.
Lets's calculate LCM of 869,2913
Given numbers has no common factors except 1. So, there LCM is their product i.e 2531397
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/2531397
Therefore, the GCF of Fractions 9396/869,5713/2913 is 29/2531397
Least Common Multiple of 869,2913 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 869,2913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,2913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,2913) x common factors =1 x 1 = 1
LCM(869,2913) = ( 869 × 2913 ) / 1
LCM(869,2913) = 2531397 / 1
LCM(869,2913) = 2531397
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FAQs on GCF of Fractions of 9396/869, 5713/2913
1. What is the HCF of 9396,5713?
The HCF of 9396,5713 is 29
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 9396/869, 5713/2913?
Answer: GCF of Numerators as per given numbers 9396/869, 5713/2913 is
GCF of Numerators i.e. for 9396,5713 is 29
LCM of denominators i.e. for 869,2913 is 2531397.
Thus, GCF of Fractions is 29/2531397.Finally, GCF of Fractions for 9396/869, 5713/2913 is 29/2531397.