GCF of 3390/863, 7966/3715
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3390/863, 7966/3715 i.e 2/3206045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3390/863, 7966/3715.
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 3390/863,7966/3715?
Given fractions are 3390/863,7966/3715
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 3390/863,7966/3715, numerators are 3390,7966
Denominators are 863,3715
The GCF of 3390,7966 is 2 .
LCM of 863,3715 is 3206045.
The greatest common factor of 3390/863,7966/3715 = [GCF of 3390,7966]/[LCM of 863,3715]= 2/3206045
Therefore, the GCF of 3390/863,7966/3715 is 2/3206045.
To find the highest common factor of 3390,7966, we have to find the factors of both numbers and list the highest common factor.
The factors of 3390 are 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695, 3390
The factors of 7966 are 1, 2, 7, 14, 569, 1138, 3983, 7966
The HCF of 3390,7966 is 2.
Lets's calculate GCF of 3390,7966
| 2 | 3390, 7966 |
| 1695, 3983 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3390,7966 By Matching Biggest Common Factor Method
Now, list down the factors of 3390
:1,2,3,5,6,10,15,30,113,226,339,565,678,1130,1695,3390
Now, list down the factors of 7966
:1,2,7,14,569,1138,3983,7966
Greatest Common Factor
We found the factors 3390,7966 . The biggest common factor number is the GCF number.
So the greatest common factor 3390,7966 is 2.
Lets's calculate LCM of 863,3715
Given numbers has no common factors except 1. So, there LCM is their product i.e 3206045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3206045
Therefore, the GCF of Fractions 3390/863,7966/3715 is 2/3206045
Least Common Multiple of 863,3715 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 863,3715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,3715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,3715) x common factors =1 x 1 = 1
LCM(863,3715) = ( 863 × 3715 ) / 1
LCM(863,3715) = 3206045 / 1
LCM(863,3715) = 3206045
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FAQs on GCF of Fractions of 3390/863, 7966/3715
1. What is the HCF of 3390,7966?
The HCF of 3390,7966 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 3390/863, 7966/3715?
Answer: GCF of Numerators as per given numbers 3390/863, 7966/3715 is
GCF of Numerators i.e. for 3390,7966 is 2
LCM of denominators i.e. for 863,3715 is 3206045.
Thus, GCF of Fractions is 2/3206045.Finally, GCF of Fractions for 3390/863, 7966/3715 is 2/3206045.