Use our free GCF of Fractions Calculator tool to compute the GCF of 50/47, 702/38, 660/713 i.e 2/1273418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/47, 702/38, 660/713.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/47,702/38,660/713
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 50/47,702/38,660/713, numerators are 50,702,660
Denominators are 47,38,713
The GCF of 50,702,660 is 2 .
LCM of 47,38,713 is 1273418.
The greatest common factor of 50/47,702/38,660/713 = [GCF of 50,702,660]/[LCM of 47,38,713]= 2/1273418
Therefore, the GCF of 50/47,702/38,660/713 is 2/1273418.
To find the highest common factor of 50,702,660, we have to find the factors of both numbers and list the highest common factor.
The factors of 50 are 1, 2, 5, 10, 25, 50
The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
The factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
The HCF of 50,702,660 is 2.
Lets's calculate GCF of 50,702,660
2 | 50, 702, 660 |
25, 351, 330 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 50
:1,2,5,10,25,50
Now, list down the factors of 702
:1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Now, list down the factors of 660
:1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Greatest Common Factor
We found the factors 50,702,660 . The biggest common factor number is the GCF number.
So the greatest common factor 50,702,660 is 2.
Lets's calculate LCM of 47,38,713
Given numbers has no common factors except 1. So, there LCM is their product i.e 1273418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1273418
Therefore, the GCF of Fractions 50/47,702/38,660/713 is 2/1273418
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 47,38,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,38,713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,38,713) x common factors =1 x 1 = 1
LCM(47,38,713) = ( 47 × 38 × 713 ) / 1
LCM(47,38,713) = 1273418 / 1
LCM(47,38,713) = 1273418
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 50,702,660?
The HCF of 50,702,660 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 50/47, 702/38, 660/713?
Answer: GCF of Numerators as per given numbers 50/47, 702/38, 660/713 is
GCF of Numerators i.e. for 50,702,660 is 2
LCM of denominators i.e. for 47,38,713 is 1273418.
Thus, GCF of Fractions is 2/1273418.Finally, GCF of Fractions for 50/47, 702/38, 660/713 is 2/1273418.