Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/44,18/76,70/466,917/201
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 9,18,70,917
Greatest Common Factor of Numerators i.e. GCF of 9,18,70,917 is 1 .
LCM of Denominators means LCM of 44,76,466,201 as per the given fractions.
LCM of 44,76,466,201 is 39152388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9,18,70,917
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9
List of positive integer factors of 9 that divides 9 without a remainder.
1,3,9
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Greatest Common Factor
We found the factors 9,18,70,917 . The biggest common factor number is the GCF number.
So the greatest common factor 9,18,70,917 is 1.
Lets's calculate LCM of 44,76,466,201
2 | 44, 76, 466, 201 |
2 | 22, 38, 233, 201 |
11, 19, 233, 201 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 19 x 233 x 201 = 39152388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39152388
Therefore, the GCF of Fractions 9/44,18/76,70/466,917/201 is 1/39152388
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 44,76,466,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,76,466,201) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(44,76,466,201) x common factors =1 x 8 = 8
LCM(44,76,466,201) = ( 44 × 76 × 466 × 201 ) / 8
LCM(44,76,466,201) = 313219104 / 8
LCM(44,76,466,201) = 39152388
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 9/44, 18/76, 70/466, 917/201?
Answer: GCF of Numerators as per given numbers 9/44, 18/76, 70/466, 917/201 is
GCF of Numerators i.e. for 9,18,70,917 is 1
LCM of denominators i.e. for 44,76,466,201 is 39152388.
Thus, GCF of Fractions is 1/39152388.Finally, GCF of Fractions for 9/44, 18/76, 70/466, 917/201 is 1/39152388.