Use our free GCF of Fractions Calculator tool to compute the GCF of 936/557, 147/350 i.e 3/194950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 936/557, 147/350.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 936/557,147/350
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 936/557,147/350, numerators are 936,147
Denominators are 557,350
The GCF of 936,147 is 3 .
LCM of 557,350 is 194950.
The greatest common factor of 936/557,147/350 = [GCF of 936,147]/[LCM of 557,350]= 3/194950
Therefore, the GCF of 936/557,147/350 is 3/194950.
To find the highest common factor of 936,147, we have to find the factors of both numbers and list the highest common factor.
The factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
The factors of 147 are 1, 3, 7, 21, 49, 147
The HCF of 936,147 is 3.
Lets's calculate GCF of 936,147
3 | 936, 147 |
312, 49 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 936
:1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Now, list down the factors of 147
:1,3,7,21,49,147
Greatest Common Factor
We found the factors 936,147 . The biggest common factor number is the GCF number.
So the greatest common factor 936,147 is 3.
Lets's calculate LCM of 557,350
Given numbers has no common factors except 1. So, there LCM is their product i.e 194950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/194950
Therefore, the GCF of Fractions 936/557,147/350 is 3/194950
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 557,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,350) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,350) x common factors =1 x 1 = 1
LCM(557,350) = ( 557 × 350 ) / 1
LCM(557,350) = 194950 / 1
LCM(557,350) = 194950
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 936,147?
The HCF of 936,147 is 3
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 936/557, 147/350?
Answer: GCF of Numerators as per given numbers 936/557, 147/350 is
GCF of Numerators i.e. for 936,147 is 3
LCM of denominators i.e. for 557,350 is 194950.
Thus, GCF of Fractions is 3/194950.Finally, GCF of Fractions for 936/557, 147/350 is 3/194950.