Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 465/89,727/70,594/36
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 465,727,594
Greatest Common Factor of Numerators i.e. GCF of 465,727,594 is 1 .
LCM of Denominators means LCM of 89,70,36 as per the given fractions.
LCM of 89,70,36 is 112140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 465,727,594
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1,727
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Greatest Common Factor
We found the factors 465,727,594 . The biggest common factor number is the GCF number.
So the greatest common factor 465,727,594 is 1.
Lets's calculate LCM of 89,70,36
2 | 89, 70, 36 |
89, 35, 18 |
∴ So the LCM of the given numbers is 2 x 89 x 35 x 18 = 112140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112140
Therefore, the GCF of Fractions 465/89,727/70,594/36 is 1/112140
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 89,70,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,70,36) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(89,70,36) x common factors =1 x 2 = 2
LCM(89,70,36) = ( 89 × 70 × 36 ) / 2
LCM(89,70,36) = 224280 / 2
LCM(89,70,36) = 112140
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 465/89, 727/70, 594/36?
Answer: GCF of Numerators as per given numbers 465/89, 727/70, 594/36 is
GCF of Numerators i.e. for 465,727,594 is 1
LCM of denominators i.e. for 89,70,36 is 112140.
Thus, GCF of Fractions is 1/112140.Finally, GCF of Fractions for 465/89, 727/70, 594/36 is 1/112140.