Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 370/47,984/86,568/850
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 370,984,568
Greatest Common Factor of Numerators i.e. GCF of 370,984,568 is 2 .
LCM of Denominators means LCM of 47,86,850 as per the given fractions.
LCM of 47,86,850 is 1717850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 370,984,568
2 | 370, 984, 568 |
185, 492, 284 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Greatest Common Factor
We found the factors 370,984,568 . The biggest common factor number is the GCF number.
So the greatest common factor 370,984,568 is 2.
Lets's calculate LCM of 47,86,850
2 | 47, 86, 850 |
47, 43, 425 |
∴ So the LCM of the given numbers is 2 x 47 x 43 x 425 = 1717850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1717850
Therefore, the GCF of Fractions 370/47,984/86,568/850 is 2/1717850
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 47,86,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,86,850) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(47,86,850) x common factors =1 x 2 = 2
LCM(47,86,850) = ( 47 × 86 × 850 ) / 2
LCM(47,86,850) = 3435700 / 2
LCM(47,86,850) = 1717850
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 370/47, 984/86, 568/850?
Answer: GCF of Numerators as per given numbers 370/47, 984/86, 568/850 is
GCF of Numerators i.e. for 370,984,568 is 2
LCM of denominators i.e. for 47,86,850 is 1717850.
Thus, GCF of Fractions is 2/1717850.Finally, GCF of Fractions for 370/47, 984/86, 568/850 is 2/1717850.