Use our free GCF of Fractions Calculator tool to compute the GCF of 94/52, 31/41, 735/15 i.e 1/31980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/52, 31/41, 735/15.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/52,31/41,735/15
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 94/52,31/41,735/15, numerators are 94,31,735
Denominators are 52,41,15
The GCF of 94,31,735 is 1 .
LCM of 52,41,15 is 31980.
The greatest common factor of 94/52,31/41,735/15 = [GCF of 94,31,735]/[LCM of 52,41,15]= 1/31980
Therefore, the GCF of 94/52,31/41,735/15 is 1/31980.
To find the highest common factor of 94,31,735, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 31 are 1, 31
The factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
The HCF of 94,31,735 is 1.
Lets's calculate GCF of 94,31,735
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 31
:1,31
Now, list down the factors of 735
:1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 94,31,735 . The biggest common factor number is the GCF number.
So the greatest common factor 94,31,735 is 1.
Lets's calculate LCM of 52,41,15
Given numbers has no common factors except 1. So, there LCM is their product i.e 31980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31980
Therefore, the GCF of Fractions 94/52,31/41,735/15 is 1/31980
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 52,41,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,41,15) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,41,15) x common factors =1 x 1 = 1
LCM(52,41,15) = ( 52 × 41 × 15 ) / 1
LCM(52,41,15) = 31980 / 1
LCM(52,41,15) = 31980
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 94,31,735?
The HCF of 94,31,735 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 94/52, 31/41, 735/15?
Answer: GCF of Numerators as per given numbers 94/52, 31/41, 735/15 is
GCF of Numerators i.e. for 94,31,735 is 1
LCM of denominators i.e. for 52,41,15 is 31980.
Thus, GCF of Fractions is 1/31980.Finally, GCF of Fractions for 94/52, 31/41, 735/15 is 1/31980.