Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/22,67/19,12/629,568/549
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 7,67,12,568
Greatest Common Factor of Numerators i.e. GCF of 7,67,12,568 is 1 .
LCM of Denominators means LCM of 22,19,629,549 as per the given fractions.
LCM of 22,19,629,549 is 144344178 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7,67,12,568
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7
List of positive integer factors of 7 that divides 7 without a remainder.
1,7
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Greatest Common Factor
We found the factors 7,67,12,568 . The biggest common factor number is the GCF number.
So the greatest common factor 7,67,12,568 is 1.
Lets's calculate LCM of 22,19,629,549
Given numbers has no common factors except 1. So, there LCM is their product i.e 144344178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144344178
Therefore, the GCF of Fractions 7/22,67/19,12/629,568/549 is 1/144344178
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 22,19,629,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,19,629,549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,19,629,549) x common factors =1 x 1 = 1
LCM(22,19,629,549) = ( 22 × 19 × 629 × 549 ) / 1
LCM(22,19,629,549) = 144344178 / 1
LCM(22,19,629,549) = 144344178
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 7/22, 67/19, 12/629, 568/549?
Answer: GCF of Numerators as per given numbers 7/22, 67/19, 12/629, 568/549 is
GCF of Numerators i.e. for 7,67,12,568 is 1
LCM of denominators i.e. for 22,19,629,549 is 144344178.
Thus, GCF of Fractions is 1/144344178.Finally, GCF of Fractions for 7/22, 67/19, 12/629, 568/549 is 1/144344178.