Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 53/784,339/560,685/978
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 53,339,685
Greatest Common Factor of Numerators i.e. GCF of 53,339,685 is 1 .
LCM of Denominators means LCM of 784,560,978 as per the given fractions.
LCM of 784,560,978 is 1916880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 53,339,685
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Greatest Common Factor
We found the factors 53,339,685 . The biggest common factor number is the GCF number.
So the greatest common factor 53,339,685 is 1.
Lets's calculate LCM of 784,560,978
2 | 784, 560, 978 |
2 | 392, 280, 489 |
2 | 196, 140, 489 |
2 | 98, 70, 489 |
7 | 49, 35, 489 |
7, 5, 489 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 7 x 5 x 489 = 1916880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1916880
Therefore, the GCF of Fractions 53/784,339/560,685/978 is 1/1916880
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 784,560,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,560,978) = 2
common factors(in case of two or more numbers have common factors) = 112
GCF(784,560,978) x common factors =2 x 112 = 224
LCM(784,560,978) = ( 784 × 560 × 978 ) / 224
LCM(784,560,978) = 429381120 / 224
LCM(784,560,978) = 1916880
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 53/784, 339/560, 685/978?
Answer: GCF of Numerators as per given numbers 53/784, 339/560, 685/978 is
GCF of Numerators i.e. for 53,339,685 is 1
LCM of denominators i.e. for 784,560,978 is 1916880.
Thus, GCF of Fractions is 1/1916880.Finally, GCF of Fractions for 53/784, 339/560, 685/978 is 1/1916880.