Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/37,90/45,591/70
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 69,90,591
Greatest Common Factor of Numerators i.e. GCF of 69,90,591 is 3 .
LCM of Denominators means LCM of 37,45,70 as per the given fractions.
LCM of 37,45,70 is 23310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 69,90,591
3 | 69, 90, 591 |
23, 30, 197 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Greatest Common Factor
We found the factors 69,90,591 . The biggest common factor number is the GCF number.
So the greatest common factor 69,90,591 is 3.
Lets's calculate LCM of 37,45,70
5 | 37, 45, 70 |
37, 9, 14 |
∴ So the LCM of the given numbers is 5 x 37 x 9 x 14 = 23310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/23310
Therefore, the GCF of Fractions 69/37,90/45,591/70 is 3/23310
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 37,45,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,45,70) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(37,45,70) x common factors =1 x 5 = 5
LCM(37,45,70) = ( 37 × 45 × 70 ) / 5
LCM(37,45,70) = 116550 / 5
LCM(37,45,70) = 23310
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 69/37, 90/45, 591/70?
Answer: GCF of Numerators as per given numbers 69/37, 90/45, 591/70 is
GCF of Numerators i.e. for 69,90,591 is 3
LCM of denominators i.e. for 37,45,70 is 23310.
Thus, GCF of Fractions is 3/23310.Finally, GCF of Fractions for 69/37, 90/45, 591/70 is 3/23310.