Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 781/71,453/66,450/172
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 781,453,450
Greatest Common Factor of Numerators i.e. GCF of 781,453,450 is 1 .
LCM of Denominators means LCM of 71,66,172 as per the given fractions.
LCM of 71,66,172 is 402996 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 781,453,450
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Greatest Common Factor
We found the factors 781,453,450 . The biggest common factor number is the GCF number.
So the greatest common factor 781,453,450 is 1.
Lets's calculate LCM of 71,66,172
2 | 71, 66, 172 |
71, 33, 86 |
∴ So the LCM of the given numbers is 2 x 71 x 33 x 86 = 402996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/402996
Therefore, the GCF of Fractions 781/71,453/66,450/172 is 1/402996
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 71,66,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,66,172) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(71,66,172) x common factors =1 x 2 = 2
LCM(71,66,172) = ( 71 × 66 × 172 ) / 2
LCM(71,66,172) = 805992 / 2
LCM(71,66,172) = 402996
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 781/71, 453/66, 450/172?
Answer: GCF of Numerators as per given numbers 781/71, 453/66, 450/172 is
GCF of Numerators i.e. for 781,453,450 is 1
LCM of denominators i.e. for 71,66,172 is 402996.
Thus, GCF of Fractions is 1/402996.Finally, GCF of Fractions for 781/71, 453/66, 450/172 is 1/402996.