Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 556/982,148/371
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 556,148
Greatest Common Factor of Numerators i.e. GCF of 556,148 is 4 .
LCM of Denominators means LCM of 982,371 as per the given fractions.
LCM of 982,371 is 364322 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 556,148
2 | 556, 148 |
2 | 278, 74 |
139, 37 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Factors of 148
List of positive integer factors of 148 that divides 148 without a remainder.
1,2,4,37,74,148
Greatest Common Factor
We found the factors 556,148 . The biggest common factor number is the GCF number.
So the greatest common factor 556,148 is 4.
Lets's calculate LCM of 982,371
Given numbers has no common factors except 1. So, there LCM is their product i.e 364322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/364322
Therefore, the GCF of Fractions 556/982,148/371 is 4/364322
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 982,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,371) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(982,371) x common factors =1 x 1 = 1
LCM(982,371) = ( 982 × 371 ) / 1
LCM(982,371) = 364322 / 1
LCM(982,371) = 364322
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 556/982, 148/371?
Answer: GCF of Numerators as per given numbers 556/982, 148/371 is
GCF of Numerators i.e. for 556,148 is 4
LCM of denominators i.e. for 982,371 is 364322.
Thus, GCF of Fractions is 4/364322.Finally, GCF of Fractions for 556/982, 148/371 is 4/364322.