Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/124,839/465,745/225
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 62,839,745
Greatest Common Factor of Numerators i.e. GCF of 62,839,745 is 1 .
LCM of Denominators means LCM of 124,465,225 as per the given fractions.
LCM of 124,465,225 is 27900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,839,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Greatest Common Factor
We found the factors 62,839,745 . The biggest common factor number is the GCF number.
So the greatest common factor 62,839,745 is 1.
Lets's calculate LCM of 124,465,225
3 | 124, 465, 225 |
5 | 124, 155, 75 |
31 | 124, 31, 15 |
4, 1, 15 |
∴ So the LCM of the given numbers is 3 x 5 x 31 x 4 x 1 x 15 = 27900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27900
Therefore, the GCF of Fractions 62/124,839/465,745/225 is 1/27900
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 124,465,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,465,225) = 1
common factors(in case of two or more numbers have common factors) = 465
GCF(124,465,225) x common factors =1 x 465 = 465
LCM(124,465,225) = ( 124 × 465 × 225 ) / 465
LCM(124,465,225) = 12973500 / 465
LCM(124,465,225) = 27900
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 62/124, 839/465, 745/225?
Answer: GCF of Numerators as per given numbers 62/124, 839/465, 745/225 is
GCF of Numerators i.e. for 62,839,745 is 1
LCM of denominators i.e. for 124,465,225 is 27900.
Thus, GCF of Fractions is 1/27900.Finally, GCF of Fractions for 62/124, 839/465, 745/225 is 1/27900.