Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1450/482,3616/319
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 1450,3616
Greatest Common Factor of Numerators i.e. GCF of 1450,3616 is 2 .
LCM of Denominators means LCM of 482,319 as per the given fractions.
LCM of 482,319 is 153758 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1450,3616
2 | 1450, 3616 |
725, 1808 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1450
List of positive integer factors of 1450 that divides 1450 without a remainder.
1,2,5,10,25,29,50,58,145,290,725,1450
Factors of 3616
List of positive integer factors of 3616 that divides 3616 without a remainder.
1,2,4,8,16,32,113,226,452,904,1808,3616
Greatest Common Factor
We found the factors 1450,3616 . The biggest common factor number is the GCF number.
So the greatest common factor 1450,3616 is 2.
Lets's calculate LCM of 482,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 153758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/153758
Therefore, the GCF of Fractions 1450/482,3616/319 is 2/153758
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 482,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(482,319) x common factors =1 x 1 = 1
LCM(482,319) = ( 482 × 319 ) / 1
LCM(482,319) = 153758 / 1
LCM(482,319) = 153758
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 1450/482, 3616/319?
Answer: GCF of Numerators as per given numbers 1450/482, 3616/319 is
GCF of Numerators i.e. for 1450,3616 is 2
LCM of denominators i.e. for 482,319 is 153758.
Thus, GCF of Fractions is 2/153758.Finally, GCF of Fractions for 1450/482, 3616/319 is 2/153758.