GCF of 9865/888, 5185/3429
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9865/888, 5185/3429 i.e 5/1014984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9865/888, 5185/3429.
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 9865/888,5185/3429?
Given fractions are 9865/888,5185/3429
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 9865/888,5185/3429, numerators are 9865,5185
Denominators are 888,3429
The GCF of 9865,5185 is 5 .
LCM of 888,3429 is 1014984.
The greatest common factor of 9865/888,5185/3429 = [GCF of 9865,5185]/[LCM of 888,3429]= 5/1014984
Therefore, the GCF of 9865/888,5185/3429 is 5/1014984.
To find the highest common factor of 9865,5185, we have to find the factors of both numbers and list the highest common factor.
The factors of 9865 are 1, 5, 1973, 9865
The factors of 5185 are 1, 5, 17, 61, 85, 305, 1037, 5185
The HCF of 9865,5185 is 5.
Lets's calculate GCF of 9865,5185
| 5 | 9865, 5185 |
| 1973, 1037 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9865,5185 By Matching Biggest Common Factor Method
Now, list down the factors of 9865
:1,5,1973,9865
Now, list down the factors of 5185
:1,5,17,61,85,305,1037,5185
Greatest Common Factor
We found the factors 9865,5185 . The biggest common factor number is the GCF number.
So the greatest common factor 9865,5185 is 5.
Lets's calculate LCM of 888,3429
| 3 | 888, 3429 |
| 296, 1143 |
∴ So the LCM of the given numbers is 3 x 296 x 1143 = 1014984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1014984
Therefore, the GCF of Fractions 9865/888,5185/3429 is 5/1014984
Least Common Multiple of 888,3429 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 888,3429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(888,3429) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(888,3429) x common factors =3 x 1 = 3
LCM(888,3429) = ( 888 × 3429 ) / 3
LCM(888,3429) = 3044952 / 3
LCM(888,3429) = 1014984
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FAQs on GCF of Fractions of 9865/888, 5185/3429
1. What is the HCF of 9865,5185?
The HCF of 9865,5185 is 5
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 9865/888, 5185/3429?
Answer: GCF of Numerators as per given numbers 9865/888, 5185/3429 is
GCF of Numerators i.e. for 9865,5185 is 5
LCM of denominators i.e. for 888,3429 is 1014984.
Thus, GCF of Fractions is 5/1014984.Finally, GCF of Fractions for 9865/888, 5185/3429 is 5/1014984.