Use our free GCF of Fractions Calculator tool to compute the GCF of 94/24, 520/20, 598/240 i.e 2/240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/24, 520/20, 598/240.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/24,520/20,598/240
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 94/24,520/20,598/240, numerators are 94,520,598
Denominators are 24,20,240
The GCF of 94,520,598 is 2 .
LCM of 24,20,240 is 240.
The greatest common factor of 94/24,520/20,598/240 = [GCF of 94,520,598]/[LCM of 24,20,240]= 2/240
Therefore, the GCF of 94/24,520/20,598/240 is 2/240.
To find the highest common factor of 94,520,598, 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 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The HCF of 94,520,598 is 2.
Lets's calculate GCF of 94,520,598
2 | 94, 520, 598 |
47, 260, 299 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 520
:1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 94,520,598 . The biggest common factor number is the GCF number.
So the greatest common factor 94,520,598 is 2.
Lets's calculate LCM of 24,20,240
2 | 24, 20, 240 |
2 | 12, 10, 120 |
2 | 6, 5, 60 |
3 | 3, 5, 30 |
5 | 1, 5, 10 |
1, 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 1 x 2 = 240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/240
Therefore, the GCF of Fractions 94/24,520/20,598/240 is 2/240
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 24,20,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,20,240) = 4
common factors(in case of two or more numbers have common factors) = 120
GCF(24,20,240) x common factors =4 x 120 = 480
LCM(24,20,240) = ( 24 × 20 × 240 ) / 480
LCM(24,20,240) = 115200 / 480
LCM(24,20,240) = 240
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 94,520,598?
The HCF of 94,520,598 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 94/24, 520/20, 598/240?
Answer: GCF of Numerators as per given numbers 94/24, 520/20, 598/240 is
GCF of Numerators i.e. for 94,520,598 is 2
LCM of denominators i.e. for 24,20,240 is 240.
Thus, GCF of Fractions is 2/240.Finally, GCF of Fractions for 94/24, 520/20, 598/240 is 2/240.