Use our free GCF of Fractions Calculator tool to compute the GCF of 4/24, 64/19, 52/561, 948/656 i.e 4/6992304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4/24, 64/19, 52/561, 948/656.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/24,64/19,52/561,948/656
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 4/24,64/19,52/561,948/656, numerators are 4,64,52,948
Denominators are 24,19,561,656
The GCF of 4,64,52,948 is 4 .
LCM of 24,19,561,656 is 6992304.
The greatest common factor of 4/24,64/19,52/561,948/656 = [GCF of 4,64,52,948]/[LCM of 24,19,561,656]= 4/6992304
Therefore, the GCF of 4/24,64/19,52/561,948/656 is 4/6992304.
To find the highest common factor of 4,64,52,948, we have to find the factors of both numbers and list the highest common factor.
The factors of 4 are 1, 2, 4
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 52 are 1, 2, 4, 13, 26, 52
The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
The HCF of 4,64,52,948 is 4.
Lets's calculate GCF of 4,64,52,948
2 | 4, 64, 52, 948 |
2 | 2, 32, 26, 474 |
1, 16, 13, 237 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 4
:1,2,4
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 52
:1,2,4,13,26,52
Now, list down the factors of 948
:1,2,3,4,6,12,79,158,237,316,474,948
Greatest Common Factor
We found the factors 4,64,52,948 . The biggest common factor number is the GCF number.
So the greatest common factor 4,64,52,948 is 4.
Lets's calculate LCM of 24,19,561,656
2 | 24, 19, 561, 656 |
2 | 12, 19, 561, 328 |
2 | 6, 19, 561, 164 |
3 | 3, 19, 561, 82 |
1, 19, 187, 82 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 19 x 187 x 82 = 6992304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6992304
Therefore, the GCF of Fractions 4/24,64/19,52/561,948/656 is 4/6992304
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 24,19,561,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,19,561,656) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(24,19,561,656) x common factors =1 x 24 = 24
LCM(24,19,561,656) = ( 24 × 19 × 561 × 656 ) / 24
LCM(24,19,561,656) = 167815296 / 24
LCM(24,19,561,656) = 6992304
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4,64,52,948?
The HCF of 4,64,52,948 is 4
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 4/24, 64/19, 52/561, 948/656?
Answer: GCF of Numerators as per given numbers 4/24, 64/19, 52/561, 948/656 is
GCF of Numerators i.e. for 4,64,52,948 is 4
LCM of denominators i.e. for 24,19,561,656 is 6992304.
Thus, GCF of Fractions is 4/6992304.Finally, GCF of Fractions for 4/24, 64/19, 52/561, 948/656 is 4/6992304.