Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4466/550,5430/9477
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 4466,5430
Greatest Common Factor of Numerators i.e. GCF of 4466,5430 is 2 .
LCM of Denominators means LCM of 550,9477 as per the given fractions.
LCM of 550,9477 is 5212350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4466,5430
2 | 4466, 5430 |
2233, 2715 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4466
List of positive integer factors of 4466 that divides 4466 without a remainder.
1,2,7,11,14,22,29,58,77,154,203,319,406,638,2233,4466
Factors of 5430
List of positive integer factors of 5430 that divides 5430 without a remainder.
1,2,3,5,6,10,15,30,181,362,543,905,1086,1810,2715,5430
Greatest Common Factor
We found the factors 4466,5430 . The biggest common factor number is the GCF number.
So the greatest common factor 4466,5430 is 2.
Lets's calculate LCM of 550,9477
Given numbers has no common factors except 1. So, there LCM is their product i.e 5212350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5212350
Therefore, the GCF of Fractions 4466/550,5430/9477 is 2/5212350
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 550,9477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,9477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(550,9477) x common factors =1 x 1 = 1
LCM(550,9477) = ( 550 × 9477 ) / 1
LCM(550,9477) = 5212350 / 1
LCM(550,9477) = 5212350
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 4466/550, 5430/9477?
Answer: GCF of Numerators as per given numbers 4466/550, 5430/9477 is
GCF of Numerators i.e. for 4466,5430 is 2
LCM of denominators i.e. for 550,9477 is 5212350.
Thus, GCF of Fractions is 2/5212350.Finally, GCF of Fractions for 4466/550, 5430/9477 is 2/5212350.