Use our free GCF of Fractions Calculator tool to compute the GCF of 924/415, 616/215 i.e 308/17845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 924/415, 616/215.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 924/415,616/215
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 924/415,616/215, numerators are 924,616
Denominators are 415,215
The GCF of 924,616 is 308 .
LCM of 415,215 is 17845.
The greatest common factor of 924/415,616/215 = [GCF of 924,616]/[LCM of 415,215]= 308/17845
Therefore, the GCF of 924/415,616/215 is 308/17845.
To find the highest common factor of 924,616, we have to find the factors of both numbers and list the highest common factor.
The factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
The HCF of 924,616 is 308.
Lets's calculate GCF of 924,616
2 | 924, 616 |
2 | 462, 308 |
7 | 231, 154 |
11 | 33, 22 |
3, 2 |
∴ So the GCF of the given numbers is 2 x 2 x 7 x 11 = 308
Now, list down the factors of 924
:1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Now, list down the factors of 616
:1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Greatest Common Factor
We found the factors 924,616 . The biggest common factor number is the GCF number.
So the greatest common factor 924,616 is 308.
Lets's calculate LCM of 415,215
5 | 415, 215 |
83, 43 |
∴ So the LCM of the given numbers is 5 x 83 x 43 = 17845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 308/17845
Therefore, the GCF of Fractions 924/415,616/215 is 308/17845
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 415,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,215) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(415,215) x common factors =5 x 1 = 5
LCM(415,215) = ( 415 × 215 ) / 5
LCM(415,215) = 89225 / 5
LCM(415,215) = 17845
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 924,616?
The HCF of 924,616 is 308
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 924/415, 616/215?
Answer: GCF of Numerators as per given numbers 924/415, 616/215 is
GCF of Numerators i.e. for 924,616 is 308
LCM of denominators i.e. for 415,215 is 17845.
Thus, GCF of Fractions is 308/17845.Finally, GCF of Fractions for 924/415, 616/215 is 308/17845.