GCF of 3988/849, 9866/1664
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3988/849, 9866/1664 i.e 2/1412736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3988/849, 9866/1664.
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 3988/849,9866/1664?
Given fractions are 3988/849,9866/1664
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 3988/849,9866/1664, numerators are 3988,9866
Denominators are 849,1664
The GCF of 3988,9866 is 2 .
LCM of 849,1664 is 1412736.
The greatest common factor of 3988/849,9866/1664 = [GCF of 3988,9866]/[LCM of 849,1664]= 2/1412736
Therefore, the GCF of 3988/849,9866/1664 is 2/1412736.
To find the highest common factor of 3988,9866, we have to find the factors of both numbers and list the highest common factor.
The factors of 3988 are 1, 2, 4, 997, 1994, 3988
The factors of 9866 are 1, 2, 4933, 9866
The HCF of 3988,9866 is 2.
Lets's calculate GCF of 3988,9866
| 2 | 3988, 9866 |
| 1994, 4933 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3988,9866 By Matching Biggest Common Factor Method
Now, list down the factors of 3988
:1,2,4,997,1994,3988
Now, list down the factors of 9866
:1,2,4933,9866
Greatest Common Factor
We found the factors 3988,9866 . The biggest common factor number is the GCF number.
So the greatest common factor 3988,9866 is 2.
Lets's calculate LCM of 849,1664
Given numbers has no common factors except 1. So, there LCM is their product i.e 1412736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1412736
Therefore, the GCF of Fractions 3988/849,9866/1664 is 2/1412736
Least Common Multiple of 849,1664 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 849,1664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,1664) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(849,1664) x common factors =1 x 1 = 1
LCM(849,1664) = ( 849 × 1664 ) / 1
LCM(849,1664) = 1412736 / 1
LCM(849,1664) = 1412736
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FAQs on GCF of Fractions of 3988/849, 9866/1664
1. What is the HCF of 3988,9866?
The HCF of 3988,9866 is 2
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 3988/849, 9866/1664?
Answer: GCF of Numerators as per given numbers 3988/849, 9866/1664 is
GCF of Numerators i.e. for 3988,9866 is 2
LCM of denominators i.e. for 849,1664 is 1412736.
Thus, GCF of Fractions is 2/1412736.Finally, GCF of Fractions for 3988/849, 9866/1664 is 2/1412736.