Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 628/55,124/43,556/61
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 628,124,556
Greatest Common Factor of Numerators i.e. GCF of 628,124,556 is 4 .
LCM of Denominators means LCM of 55,43,61 as per the given fractions.
LCM of 55,43,61 is 144265 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 628,124,556
2 | 628, 124, 556 |
2 | 314, 62, 278 |
157, 31, 139 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Greatest Common Factor
We found the factors 628,124,556 . The biggest common factor number is the GCF number.
So the greatest common factor 628,124,556 is 4.
Lets's calculate LCM of 55,43,61
Given numbers has no common factors except 1. So, there LCM is their product i.e 144265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/144265
Therefore, the GCF of Fractions 628/55,124/43,556/61 is 4/144265
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 55,43,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,43,61) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,43,61) x common factors =1 x 1 = 1
LCM(55,43,61) = ( 55 × 43 × 61 ) / 1
LCM(55,43,61) = 144265 / 1
LCM(55,43,61) = 144265
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 628/55, 124/43, 556/61?
Answer: GCF of Numerators as per given numbers 628/55, 124/43, 556/61 is
GCF of Numerators i.e. for 628,124,556 is 4
LCM of denominators i.e. for 55,43,61 is 144265.
Thus, GCF of Fractions is 4/144265.Finally, GCF of Fractions for 628/55, 124/43, 556/61 is 4/144265.