Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/67,50/16,87/566,749/719
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 3,50,87,749
Greatest Common Factor of Numerators i.e. GCF of 3,50,87,749 is 1 .
LCM of Denominators means LCM of 67,16,566,719 as per the given fractions.
LCM of 67,16,566,719 is 218127344 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,50,87,749
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Greatest Common Factor
We found the factors 3,50,87,749 . The biggest common factor number is the GCF number.
So the greatest common factor 3,50,87,749 is 1.
Lets's calculate LCM of 67,16,566,719
2 | 67, 16, 566, 719 |
67, 8, 283, 719 |
∴ So the LCM of the given numbers is 2 x 67 x 8 x 283 x 719 = 218127344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218127344
Therefore, the GCF of Fractions 3/67,50/16,87/566,749/719 is 1/218127344
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 67,16,566,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,16,566,719) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(67,16,566,719) x common factors =1 x 2 = 2
LCM(67,16,566,719) = ( 67 × 16 × 566 × 719 ) / 2
LCM(67,16,566,719) = 436254688 / 2
LCM(67,16,566,719) = 218127344
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 3/67, 50/16, 87/566, 749/719?
Answer: GCF of Numerators as per given numbers 3/67, 50/16, 87/566, 749/719 is
GCF of Numerators i.e. for 3,50,87,749 is 1
LCM of denominators i.e. for 67,16,566,719 is 218127344.
Thus, GCF of Fractions is 1/218127344.Finally, GCF of Fractions for 3/67, 50/16, 87/566, 749/719 is 1/218127344.