GCF of 7116/668, 3036/9989
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7116/668, 3036/9989 i.e 12/6672652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7116/668, 3036/9989.
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 7116/668,3036/9989?
Given fractions are 7116/668,3036/9989
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 7116/668,3036/9989, numerators are 7116,3036
Denominators are 668,9989
The GCF of 7116,3036 is 12 .
LCM of 668,9989 is 6672652.
The greatest common factor of 7116/668,3036/9989 = [GCF of 7116,3036]/[LCM of 668,9989]= 12/6672652
Therefore, the GCF of 7116/668,3036/9989 is 12/6672652.
To find the highest common factor of 7116,3036, we have to find the factors of both numbers and list the highest common factor.
The factors of 7116 are 1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558, 7116
The factors of 3036 are 1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518, 3036
The HCF of 7116,3036 is 12.
Lets's calculate GCF of 7116,3036
| 2 | 7116, 3036 |
| 2 | 3558, 1518 |
| 3 | 1779, 759 |
| 593, 253 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 7116,3036 By Matching Biggest Common Factor Method
Now, list down the factors of 7116
:1,2,3,4,6,12,593,1186,1779,2372,3558,7116
Now, list down the factors of 3036
:1,2,3,4,6,11,12,22,23,33,44,46,66,69,92,132,138,253,276,506,759,1012,1518,3036
Greatest Common Factor
We found the factors 7116,3036 . The biggest common factor number is the GCF number.
So the greatest common factor 7116,3036 is 12.
Lets's calculate LCM of 668,9989
Given numbers has no common factors except 1. So, there LCM is their product i.e 6672652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/6672652
Therefore, the GCF of Fractions 7116/668,3036/9989 is 12/6672652
Least Common Multiple of 668,9989 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 668,9989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,9989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(668,9989) x common factors =1 x 1 = 1
LCM(668,9989) = ( 668 × 9989 ) / 1
LCM(668,9989) = 6672652 / 1
LCM(668,9989) = 6672652
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FAQs on GCF of Fractions of 7116/668, 3036/9989
1. What is the HCF of 7116,3036?
The HCF of 7116,3036 is 12
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 7116/668, 3036/9989?
Answer: GCF of Numerators as per given numbers 7116/668, 3036/9989 is
GCF of Numerators i.e. for 7116,3036 is 12
LCM of denominators i.e. for 668,9989 is 6672652.
Thus, GCF of Fractions is 12/6672652.Finally, GCF of Fractions for 7116/668, 3036/9989 is 12/6672652.