Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/937,28/137,425/982
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 43,28,425
Greatest Common Factor of Numerators i.e. GCF of 43,28,425 is 1 .
LCM of Denominators means LCM of 937,137,982 as per the given fractions.
LCM of 937,137,982 is 126058358 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 43,28,425
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Greatest Common Factor
We found the factors 43,28,425 . The biggest common factor number is the GCF number.
So the greatest common factor 43,28,425 is 1.
Lets's calculate LCM of 937,137,982
Given numbers has no common factors except 1. So, there LCM is their product i.e 126058358
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126058358
Therefore, the GCF of Fractions 43/937,28/137,425/982 is 1/126058358
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 937,137,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,137,982) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,137,982) x common factors =1 x 1 = 1
LCM(937,137,982) = ( 937 × 137 × 982 ) / 1
LCM(937,137,982) = 126058358 / 1
LCM(937,137,982) = 126058358
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 43/937, 28/137, 425/982?
Answer: GCF of Numerators as per given numbers 43/937, 28/137, 425/982 is
GCF of Numerators i.e. for 43,28,425 is 1
LCM of denominators i.e. for 937,137,982 is 126058358.
Thus, GCF of Fractions is 1/126058358.Finally, GCF of Fractions for 43/937, 28/137, 425/982 is 1/126058358.