Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/16,947/47,548/962
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 40,947,548
Greatest Common Factor of Numerators i.e. GCF of 40,947,548 is 1 .
LCM of Denominators means LCM of 16,47,962 as per the given fractions.
LCM of 16,47,962 is 361712 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,947,548
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Greatest Common Factor
We found the factors 40,947,548 . The biggest common factor number is the GCF number.
So the greatest common factor 40,947,548 is 1.
Lets's calculate LCM of 16,47,962
2 | 16, 47, 962 |
8, 47, 481 |
∴ So the LCM of the given numbers is 2 x 8 x 47 x 481 = 361712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/361712
Therefore, the GCF of Fractions 40/16,947/47,548/962 is 1/361712
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 16,47,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,47,962) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(16,47,962) x common factors =1 x 2 = 2
LCM(16,47,962) = ( 16 × 47 × 962 ) / 2
LCM(16,47,962) = 723424 / 2
LCM(16,47,962) = 361712
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 40/16, 947/47, 548/962?
Answer: GCF of Numerators as per given numbers 40/16, 947/47, 548/962 is
GCF of Numerators i.e. for 40,947,548 is 1
LCM of denominators i.e. for 16,47,962 is 361712.
Thus, GCF of Fractions is 1/361712.Finally, GCF of Fractions for 40/16, 947/47, 548/962 is 1/361712.