Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 31/38,47/735,435/106
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 31,47,435
Greatest Common Factor of Numerators i.e. GCF of 31,47,435 is 1 .
LCM of Denominators means LCM of 38,735,106 as per the given fractions.
LCM of 38,735,106 is 1480290 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 31,47,435
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Greatest Common Factor
We found the factors 31,47,435 . The biggest common factor number is the GCF number.
So the greatest common factor 31,47,435 is 1.
Lets's calculate LCM of 38,735,106
2 | 38, 735, 106 |
19, 735, 53 |
∴ So the LCM of the given numbers is 2 x 19 x 735 x 53 = 1480290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1480290
Therefore, the GCF of Fractions 31/38,47/735,435/106 is 1/1480290
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 38,735,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,735,106) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(38,735,106) x common factors =1 x 2 = 2
LCM(38,735,106) = ( 38 × 735 × 106 ) / 2
LCM(38,735,106) = 2960580 / 2
LCM(38,735,106) = 1480290
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 31/38, 47/735, 435/106?
Answer: GCF of Numerators as per given numbers 31/38, 47/735, 435/106 is
GCF of Numerators i.e. for 31,47,435 is 1
LCM of denominators i.e. for 38,735,106 is 1480290.
Thus, GCF of Fractions is 1/1480290.Finally, GCF of Fractions for 31/38, 47/735, 435/106 is 1/1480290.