Use our free GCF of Fractions Calculator tool to compute the GCF of 34/150, 947/942, 341/456 i.e 1/1789800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/150, 947/942, 341/456.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/150,947/942,341/456
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 34/150,947/942,341/456, numerators are 34,947,341
Denominators are 150,942,456
The GCF of 34,947,341 is 1 .
LCM of 150,942,456 is 1789800.
The greatest common factor of 34/150,947/942,341/456 = [GCF of 34,947,341]/[LCM of 150,942,456]= 1/1789800
Therefore, the GCF of 34/150,947/942,341/456 is 1/1789800.
To find the highest common factor of 34,947,341, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 947 are 1, 947
The factors of 341 are 1, 11, 31, 341
The HCF of 34,947,341 is 1.
Lets's calculate GCF of 34,947,341
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 947
:1,947
Now, list down the factors of 341
:1,11,31,341
Greatest Common Factor
We found the factors 34,947,341 . The biggest common factor number is the GCF number.
So the greatest common factor 34,947,341 is 1.
Lets's calculate LCM of 150,942,456
2 | 150, 942, 456 |
3 | 75, 471, 228 |
25, 157, 76 |
∴ So the LCM of the given numbers is 2 x 3 x 25 x 157 x 76 = 1789800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1789800
Therefore, the GCF of Fractions 34/150,947/942,341/456 is 1/1789800
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 150,942,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,942,456) = 6
common factors(in case of two or more numbers have common factors) = 6
GCF(150,942,456) x common factors =6 x 6 = 36
LCM(150,942,456) = ( 150 × 942 × 456 ) / 36
LCM(150,942,456) = 64432800 / 36
LCM(150,942,456) = 1789800
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 34,947,341?
The HCF of 34,947,341 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 34/150, 947/942, 341/456?
Answer: GCF of Numerators as per given numbers 34/150, 947/942, 341/456 is
GCF of Numerators i.e. for 34,947,341 is 1
LCM of denominators i.e. for 150,942,456 is 1789800.
Thus, GCF of Fractions is 1/1789800.Finally, GCF of Fractions for 34/150, 947/942, 341/456 is 1/1789800.