Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 453/92,445/18,947/799
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 453,445,947
Greatest Common Factor of Numerators i.e. GCF of 453,445,947 is 1 .
LCM of Denominators means LCM of 92,18,799 as per the given fractions.
LCM of 92,18,799 is 661572 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 453,445,947
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Greatest Common Factor
We found the factors 453,445,947 . The biggest common factor number is the GCF number.
So the greatest common factor 453,445,947 is 1.
Lets's calculate LCM of 92,18,799
2 | 92, 18, 799 |
46, 9, 799 |
∴ So the LCM of the given numbers is 2 x 46 x 9 x 799 = 661572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/661572
Therefore, the GCF of Fractions 453/92,445/18,947/799 is 1/661572
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 92,18,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,18,799) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(92,18,799) x common factors =1 x 2 = 2
LCM(92,18,799) = ( 92 × 18 × 799 ) / 2
LCM(92,18,799) = 1323144 / 2
LCM(92,18,799) = 661572
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 453/92, 445/18, 947/799?
Answer: GCF of Numerators as per given numbers 453/92, 445/18, 947/799 is
GCF of Numerators i.e. for 453,445,947 is 1
LCM of denominators i.e. for 92,18,799 is 661572.
Thus, GCF of Fractions is 1/661572.Finally, GCF of Fractions for 453/92, 445/18, 947/799 is 1/661572.