Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4215/443,4264/7802
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 4215,4264
Greatest Common Factor of Numerators i.e. GCF of 4215,4264 is 1 .
LCM of Denominators means LCM of 443,7802 as per the given fractions.
LCM of 443,7802 is 3456286 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4215,4264
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4215
List of positive integer factors of 4215 that divides 4215 without a remainder.
1,3,5,15,281,843,1405,4215
Factors of 4264
List of positive integer factors of 4264 that divides 4264 without a remainder.
1,2,4,8,13,26,41,52,82,104,164,328,533,1066,2132,4264
Greatest Common Factor
We found the factors 4215,4264 . The biggest common factor number is the GCF number.
So the greatest common factor 4215,4264 is 1.
Lets's calculate LCM of 443,7802
Given numbers has no common factors except 1. So, there LCM is their product i.e 3456286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3456286
Therefore, the GCF of Fractions 4215/443,4264/7802 is 1/3456286
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 443,7802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,7802) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,7802) x common factors =1 x 1 = 1
LCM(443,7802) = ( 443 × 7802 ) / 1
LCM(443,7802) = 3456286 / 1
LCM(443,7802) = 3456286
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 4215/443, 4264/7802?
Answer: GCF of Numerators as per given numbers 4215/443, 4264/7802 is
GCF of Numerators i.e. for 4215,4264 is 1
LCM of denominators i.e. for 443,7802 is 3456286.
Thus, GCF of Fractions is 1/3456286.Finally, GCF of Fractions for 4215/443, 4264/7802 is 1/3456286.