GCF of 3866/340, 3673/3916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3866/340, 3673/3916 i.e 1/332860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3866/340, 3673/3916.
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 3866/340,3673/3916?
Given fractions are 3866/340,3673/3916
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 3866/340,3673/3916, numerators are 3866,3673
Denominators are 340,3916
The GCF of 3866,3673 is 1 .
LCM of 340,3916 is 332860.
The greatest common factor of 3866/340,3673/3916 = [GCF of 3866,3673]/[LCM of 340,3916]= 1/332860
Therefore, the GCF of 3866/340,3673/3916 is 1/332860.
To find the highest common factor of 3866,3673, we have to find the factors of both numbers and list the highest common factor.
The factors of 3866 are 1, 2, 1933, 3866
The factors of 3673 are 1, 3673
The HCF of 3866,3673 is 1.
Lets's calculate GCF of 3866,3673
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3866,3673 By Matching Biggest Common Factor Method
Now, list down the factors of 3866
:1,2,1933,3866
Now, list down the factors of 3673
:1,3673
Greatest Common Factor
We found the factors 3866,3673 . The biggest common factor number is the GCF number.
So the greatest common factor 3866,3673 is 1.
Lets's calculate LCM of 340,3916
| 2 | 340, 3916 |
| 2 | 170, 1958 |
| 85, 979 |
∴ So the LCM of the given numbers is 2 x 2 x 85 x 979 = 332860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332860
Therefore, the GCF of Fractions 3866/340,3673/3916 is 1/332860
Least Common Multiple of 340,3916 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 340,3916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,3916) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(340,3916) x common factors =4 x 1 = 4
LCM(340,3916) = ( 340 × 3916 ) / 4
LCM(340,3916) = 1331440 / 4
LCM(340,3916) = 332860
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FAQs on GCF of Fractions of 3866/340, 3673/3916
1. What is the HCF of 3866,3673?
The HCF of 3866,3673 is 1
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 3866/340, 3673/3916?
Answer: GCF of Numerators as per given numbers 3866/340, 3673/3916 is
GCF of Numerators i.e. for 3866,3673 is 1
LCM of denominators i.e. for 340,3916 is 332860.
Thus, GCF of Fractions is 1/332860.Finally, GCF of Fractions for 3866/340, 3673/3916 is 1/332860.