Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8281/222,6416/1080
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 8281,6416
Greatest Common Factor of Numerators i.e. GCF of 8281,6416 is 1 .
LCM of Denominators means LCM of 222,1080 as per the given fractions.
LCM of 222,1080 is 39960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8281,6416
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8281
List of positive integer factors of 8281 that divides 8281 without a remainder.
1,7,13,49,91,169,637,1183,8281
Factors of 6416
List of positive integer factors of 6416 that divides 6416 without a remainder.
1,2,4,8,16,401,802,1604,3208,6416
Greatest Common Factor
We found the factors 8281,6416 . The biggest common factor number is the GCF number.
So the greatest common factor 8281,6416 is 1.
Lets's calculate LCM of 222,1080
2 | 222, 1080 |
3 | 111, 540 |
37, 180 |
∴ So the LCM of the given numbers is 2 x 3 x 37 x 180 = 39960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39960
Therefore, the GCF of Fractions 8281/222,6416/1080 is 1/39960
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 222,1080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,1080) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(222,1080) x common factors =6 x 1 = 6
LCM(222,1080) = ( 222 × 1080 ) / 6
LCM(222,1080) = 239760 / 6
LCM(222,1080) = 39960
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 8281/222, 6416/1080?
Answer: GCF of Numerators as per given numbers 8281/222, 6416/1080 is
GCF of Numerators i.e. for 8281,6416 is 1
LCM of denominators i.e. for 222,1080 is 39960.
Thus, GCF of Fractions is 1/39960.Finally, GCF of Fractions for 8281/222, 6416/1080 is 1/39960.