Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 124/10,226/84,856/58
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 124,226,856
Greatest Common Factor of Numerators i.e. GCF of 124,226,856 is 2 .
LCM of Denominators means LCM of 10,84,58 as per the given fractions.
LCM of 10,84,58 is 12180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 124,226,856
2 | 124, 226, 856 |
62, 113, 428 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Greatest Common Factor
We found the factors 124,226,856 . The biggest common factor number is the GCF number.
So the greatest common factor 124,226,856 is 2.
Lets's calculate LCM of 10,84,58
2 | 10, 84, 58 |
5, 42, 29 |
∴ So the LCM of the given numbers is 2 x 5 x 42 x 29 = 12180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12180
Therefore, the GCF of Fractions 124/10,226/84,856/58 is 2/12180
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 10,84,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,84,58) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(10,84,58) x common factors =2 x 2 = 4
LCM(10,84,58) = ( 10 × 84 × 58 ) / 4
LCM(10,84,58) = 48720 / 4
LCM(10,84,58) = 12180
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 124/10, 226/84, 856/58?
Answer: GCF of Numerators as per given numbers 124/10, 226/84, 856/58 is
GCF of Numerators i.e. for 124,226,856 is 2
LCM of denominators i.e. for 10,84,58 is 12180.
Thus, GCF of Fractions is 2/12180.Finally, GCF of Fractions for 124/10, 226/84, 856/58 is 2/12180.