Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 442/539,784/921,152/476
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 442,784,152
Greatest Common Factor of Numerators i.e. GCF of 442,784,152 is 2 .
LCM of Denominators means LCM of 539,921,476 as per the given fractions.
LCM of 539,921,476 is 33756492 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 442,784,152
2 | 442, 784, 152 |
221, 392, 76 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Greatest Common Factor
We found the factors 442,784,152 . The biggest common factor number is the GCF number.
So the greatest common factor 442,784,152 is 2.
Lets's calculate LCM of 539,921,476
7 | 539, 921, 476 |
77, 921, 68 |
∴ So the LCM of the given numbers is 7 x 77 x 921 x 68 = 33756492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33756492
Therefore, the GCF of Fractions 442/539,784/921,152/476 is 2/33756492
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 539,921,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,921,476) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(539,921,476) x common factors =1 x 7 = 7
LCM(539,921,476) = ( 539 × 921 × 476 ) / 7
LCM(539,921,476) = 236295444 / 7
LCM(539,921,476) = 33756492
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 442/539, 784/921, 152/476?
Answer: GCF of Numerators as per given numbers 442/539, 784/921, 152/476 is
GCF of Numerators i.e. for 442,784,152 is 2
LCM of denominators i.e. for 539,921,476 is 33756492.
Thus, GCF of Fractions is 2/33756492.Finally, GCF of Fractions for 442/539, 784/921, 152/476 is 2/33756492.