GCF of 3662/386, 1978/2365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3662/386, 1978/2365 i.e 2/912890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3662/386, 1978/2365.
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 3662/386,1978/2365?
Given fractions are 3662/386,1978/2365
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 3662/386,1978/2365, numerators are 3662,1978
Denominators are 386,2365
The GCF of 3662,1978 is 2 .
LCM of 386,2365 is 912890.
The greatest common factor of 3662/386,1978/2365 = [GCF of 3662,1978]/[LCM of 386,2365]= 2/912890
Therefore, the GCF of 3662/386,1978/2365 is 2/912890.
To find the highest common factor of 3662,1978, we have to find the factors of both numbers and list the highest common factor.
The factors of 3662 are 1, 2, 1831, 3662
The factors of 1978 are 1, 2, 23, 43, 46, 86, 989, 1978
The HCF of 3662,1978 is 2.
Lets's calculate GCF of 3662,1978
| 2 | 3662, 1978 |
| 1831, 989 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3662,1978 By Matching Biggest Common Factor Method
Now, list down the factors of 3662
:1,2,1831,3662
Now, list down the factors of 1978
:1,2,23,43,46,86,989,1978
Greatest Common Factor
We found the factors 3662,1978 . The biggest common factor number is the GCF number.
So the greatest common factor 3662,1978 is 2.
Lets's calculate LCM of 386,2365
Given numbers has no common factors except 1. So, there LCM is their product i.e 912890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/912890
Therefore, the GCF of Fractions 3662/386,1978/2365 is 2/912890
Least Common Multiple of 386,2365 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 386,2365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,2365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(386,2365) x common factors =1 x 1 = 1
LCM(386,2365) = ( 386 × 2365 ) / 1
LCM(386,2365) = 912890 / 1
LCM(386,2365) = 912890
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FAQs on GCF of Fractions of 3662/386, 1978/2365
1. What is the HCF of 3662,1978?
The HCF of 3662,1978 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 3662/386, 1978/2365?
Answer: GCF of Numerators as per given numbers 3662/386, 1978/2365 is
GCF of Numerators i.e. for 3662,1978 is 2
LCM of denominators i.e. for 386,2365 is 912890.
Thus, GCF of Fractions is 2/912890.Finally, GCF of Fractions for 3662/386, 1978/2365 is 2/912890.