GCF of 3966/178, 8978/6035
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3966/178, 8978/6035 i.e 2/1074230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3966/178, 8978/6035.
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 3966/178,8978/6035?
Given fractions are 3966/178,8978/6035
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 3966/178,8978/6035, numerators are 3966,8978
Denominators are 178,6035
The GCF of 3966,8978 is 2 .
LCM of 178,6035 is 1074230.
The greatest common factor of 3966/178,8978/6035 = [GCF of 3966,8978]/[LCM of 178,6035]= 2/1074230
Therefore, the GCF of 3966/178,8978/6035 is 2/1074230.
To find the highest common factor of 3966,8978, we have to find the factors of both numbers and list the highest common factor.
The factors of 3966 are 1, 2, 3, 6, 661, 1322, 1983, 3966
The factors of 8978 are 1, 2, 67, 134, 4489, 8978
The HCF of 3966,8978 is 2.
Lets's calculate GCF of 3966,8978
| 2 | 3966, 8978 |
| 1983, 4489 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3966,8978 By Matching Biggest Common Factor Method
Now, list down the factors of 3966
:1,2,3,6,661,1322,1983,3966
Now, list down the factors of 8978
:1,2,67,134,4489,8978
Greatest Common Factor
We found the factors 3966,8978 . The biggest common factor number is the GCF number.
So the greatest common factor 3966,8978 is 2.
Lets's calculate LCM of 178,6035
Given numbers has no common factors except 1. So, there LCM is their product i.e 1074230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1074230
Therefore, the GCF of Fractions 3966/178,8978/6035 is 2/1074230
Least Common Multiple of 178,6035 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 178,6035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,6035) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(178,6035) x common factors =1 x 1 = 1
LCM(178,6035) = ( 178 × 6035 ) / 1
LCM(178,6035) = 1074230 / 1
LCM(178,6035) = 1074230
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FAQs on GCF of Fractions of 3966/178, 8978/6035
1. What is the HCF of 3966,8978?
The HCF of 3966,8978 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 3966/178, 8978/6035?
Answer: GCF of Numerators as per given numbers 3966/178, 8978/6035 is
GCF of Numerators i.e. for 3966,8978 is 2
LCM of denominators i.e. for 178,6035 is 1074230.
Thus, GCF of Fractions is 2/1074230.Finally, GCF of Fractions for 3966/178, 8978/6035 is 2/1074230.