Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 989/22,150/94,735/317
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 989,150,735
Greatest Common Factor of Numerators i.e. GCF of 989,150,735 is 1 .
LCM of Denominators means LCM of 22,94,317 as per the given fractions.
LCM of 22,94,317 is 327778 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 989,150,735
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1,23,43,989
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 989,150,735 . The biggest common factor number is the GCF number.
So the greatest common factor 989,150,735 is 1.
Lets's calculate LCM of 22,94,317
2 | 22, 94, 317 |
11, 47, 317 |
∴ So the LCM of the given numbers is 2 x 11 x 47 x 317 = 327778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/327778
Therefore, the GCF of Fractions 989/22,150/94,735/317 is 1/327778
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 22,94,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,94,317) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(22,94,317) x common factors =1 x 2 = 2
LCM(22,94,317) = ( 22 × 94 × 317 ) / 2
LCM(22,94,317) = 655556 / 2
LCM(22,94,317) = 327778
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 989/22, 150/94, 735/317?
Answer: GCF of Numerators as per given numbers 989/22, 150/94, 735/317 is
GCF of Numerators i.e. for 989,150,735 is 1
LCM of denominators i.e. for 22,94,317 is 327778.
Thus, GCF of Fractions is 1/327778.Finally, GCF of Fractions for 989/22, 150/94, 735/317 is 1/327778.