GCF of 9816/758, 1614/4071
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9816/758, 1614/4071 i.e 6/3085818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9816/758, 1614/4071.
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 9816/758,1614/4071?
Given fractions are 9816/758,1614/4071
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 9816/758,1614/4071, numerators are 9816,1614
Denominators are 758,4071
The GCF of 9816,1614 is 6 .
LCM of 758,4071 is 3085818.
The greatest common factor of 9816/758,1614/4071 = [GCF of 9816,1614]/[LCM of 758,4071]= 6/3085818
Therefore, the GCF of 9816/758,1614/4071 is 6/3085818.
To find the highest common factor of 9816,1614, we have to find the factors of both numbers and list the highest common factor.
The factors of 9816 are 1, 2, 3, 4, 6, 8, 12, 24, 409, 818, 1227, 1636, 2454, 3272, 4908, 9816
The factors of 1614 are 1, 2, 3, 6, 269, 538, 807, 1614
The HCF of 9816,1614 is 6.
Lets's calculate GCF of 9816,1614
| 2 | 9816, 1614 |
| 3 | 4908, 807 |
| 1636, 269 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9816,1614 By Matching Biggest Common Factor Method
Now, list down the factors of 9816
:1,2,3,4,6,8,12,24,409,818,1227,1636,2454,3272,4908,9816
Now, list down the factors of 1614
:1,2,3,6,269,538,807,1614
Greatest Common Factor
We found the factors 9816,1614 . The biggest common factor number is the GCF number.
So the greatest common factor 9816,1614 is 6.
Lets's calculate LCM of 758,4071
Given numbers has no common factors except 1. So, there LCM is their product i.e 3085818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3085818
Therefore, the GCF of Fractions 9816/758,1614/4071 is 6/3085818
Least Common Multiple of 758,4071 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 758,4071 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,4071) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(758,4071) x common factors =1 x 1 = 1
LCM(758,4071) = ( 758 × 4071 ) / 1
LCM(758,4071) = 3085818 / 1
LCM(758,4071) = 3085818
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FAQs on GCF of Fractions of 9816/758, 1614/4071
1. What is the HCF of 9816,1614?
The HCF of 9816,1614 is 6
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 9816/758, 1614/4071?
Answer: GCF of Numerators as per given numbers 9816/758, 1614/4071 is
GCF of Numerators i.e. for 9816,1614 is 6
LCM of denominators i.e. for 758,4071 is 3085818.
Thus, GCF of Fractions is 6/3085818.Finally, GCF of Fractions for 9816/758, 1614/4071 is 6/3085818.