Use our free GCF of Fractions Calculator tool to compute the GCF of 3/60, 85/90, 37/721, 365/444 i.e 1/4801860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/60, 85/90, 37/721, 365/444.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/60,85/90,37/721,365/444
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 3/60,85/90,37/721,365/444, numerators are 3,85,37,365
Denominators are 60,90,721,444
The GCF of 3,85,37,365 is 1 .
LCM of 60,90,721,444 is 4801860.
The greatest common factor of 3/60,85/90,37/721,365/444 = [GCF of 3,85,37,365]/[LCM of 60,90,721,444]= 1/4801860
Therefore, the GCF of 3/60,85/90,37/721,365/444 is 1/4801860.
To find the highest common factor of 3,85,37,365, we have to find the factors of both numbers and list the highest common factor.
The factors of 3 are 1, 3
The factors of 85 are 1, 5, 17, 85
The factors of 37 are 1, 37
The factors of 365 are 1, 5, 73, 365
The HCF of 3,85,37,365 is 1.
Lets's calculate GCF of 3,85,37,365
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3
:1,3
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 37
:1,37
Now, list down the factors of 365
:1,5,73,365
Greatest Common Factor
We found the factors 3,85,37,365 . The biggest common factor number is the GCF number.
So the greatest common factor 3,85,37,365 is 1.
Lets's calculate LCM of 60,90,721,444
2 | 60, 90, 721, 444 |
2 | 30, 45, 721, 222 |
3 | 15, 45, 721, 111 |
5 | 5, 15, 721, 37 |
1, 3, 721, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 3 x 721 x 37 = 4801860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4801860
Therefore, the GCF of Fractions 3/60,85/90,37/721,365/444 is 1/4801860
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 60,90,721,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,90,721,444) = 1
common factors(in case of two or more numbers have common factors) = 360
GCF(60,90,721,444) x common factors =1 x 360 = 360
LCM(60,90,721,444) = ( 60 × 90 × 721 × 444 ) / 360
LCM(60,90,721,444) = 1728669600 / 360
LCM(60,90,721,444) = 4801860
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3,85,37,365?
The HCF of 3,85,37,365 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 3/60, 85/90, 37/721, 365/444?
Answer: GCF of Numerators as per given numbers 3/60, 85/90, 37/721, 365/444 is
GCF of Numerators i.e. for 3,85,37,365 is 1
LCM of denominators i.e. for 60,90,721,444 is 4801860.
Thus, GCF of Fractions is 1/4801860.Finally, GCF of Fractions for 3/60, 85/90, 37/721, 365/444 is 1/4801860.