Use our free GCF of Fractions Calculator tool to compute the GCF of 3/37, 2/93, 3/91, 51/200 i.e 1/62626200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/37, 2/93, 3/91, 51/200.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/37,2/93,3/91,51/200
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 3/37,2/93,3/91,51/200, numerators are 3,2,3,51
Denominators are 37,93,91,200
The GCF of 3,2,3,51 is 1 .
LCM of 37,93,91,200 is 62626200.
The greatest common factor of 3/37,2/93,3/91,51/200 = [GCF of 3,2,3,51]/[LCM of 37,93,91,200]= 1/62626200
Therefore, the GCF of 3/37,2/93,3/91,51/200 is 1/62626200.
To find the highest common factor of 3,2,3,51, 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 2 are 1, 2
The factors of 3 are 1, 3
The factors of 51 are 1, 3, 17, 51
The HCF of 3,2,3,51 is 1.
Lets's calculate GCF of 3,2,3,51
∴ 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 2
:1,2
Now, list down the factors of 3
:1,3
Now, list down the factors of 51
:1,3,17,51
Greatest Common Factor
We found the factors 3,2,3,51 . The biggest common factor number is the GCF number.
So the greatest common factor 3,2,3,51 is 1.
Lets's calculate LCM of 37,93,91,200
Given numbers has no common factors except 1. So, there LCM is their product i.e 62626200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62626200
Therefore, the GCF of Fractions 3/37,2/93,3/91,51/200 is 1/62626200
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 37,93,91,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,93,91,200) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,93,91,200) x common factors =1 x 1 = 1
LCM(37,93,91,200) = ( 37 × 93 × 91 × 200 ) / 1
LCM(37,93,91,200) = 62626200 / 1
LCM(37,93,91,200) = 62626200
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3,2,3,51?
The HCF of 3,2,3,51 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 3/37, 2/93, 3/91, 51/200?
Answer: GCF of Numerators as per given numbers 3/37, 2/93, 3/91, 51/200 is
GCF of Numerators i.e. for 3,2,3,51 is 1
LCM of denominators i.e. for 37,93,91,200 is 62626200.
Thus, GCF of Fractions is 1/62626200.Finally, GCF of Fractions for 3/37, 2/93, 3/91, 51/200 is 1/62626200.