Use our free GCF of Fractions Calculator tool to compute the GCF of 24/18, 712/84, 360/844 i.e 8/53172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/18, 712/84, 360/844.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 24/18,712/84,360/844
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 24/18,712/84,360/844, numerators are 24,712,360
Denominators are 18,84,844
The GCF of 24,712,360 is 8 .
LCM of 18,84,844 is 53172.
The greatest common factor of 24/18,712/84,360/844 = [GCF of 24,712,360]/[LCM of 18,84,844]= 8/53172
Therefore, the GCF of 24/18,712/84,360/844 is 8/53172.
To find the highest common factor of 24,712,360, we have to find the factors of both numbers and list the highest common factor.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The HCF of 24,712,360 is 8.
Lets's calculate GCF of 24,712,360
2 | 24, 712, 360 |
2 | 12, 356, 180 |
2 | 6, 178, 90 |
3, 89, 45 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 712
:1,2,4,8,89,178,356,712
Now, list down the factors of 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 24,712,360 . The biggest common factor number is the GCF number.
So the greatest common factor 24,712,360 is 8.
Lets's calculate LCM of 18,84,844
2 | 18, 84, 844 |
2 | 9, 42, 422 |
3 | 9, 21, 211 |
3, 7, 211 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 211 = 53172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/53172
Therefore, the GCF of Fractions 24/18,712/84,360/844 is 8/53172
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 18,84,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,84,844) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(18,84,844) x common factors =2 x 12 = 24
LCM(18,84,844) = ( 18 × 84 × 844 ) / 24
LCM(18,84,844) = 1276128 / 24
LCM(18,84,844) = 53172
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 24,712,360?
The HCF of 24,712,360 is 8
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 24/18, 712/84, 360/844?
Answer: GCF of Numerators as per given numbers 24/18, 712/84, 360/844 is
GCF of Numerators i.e. for 24,712,360 is 8
LCM of denominators i.e. for 18,84,844 is 53172.
Thus, GCF of Fractions is 8/53172.Finally, GCF of Fractions for 24/18, 712/84, 360/844 is 8/53172.