Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 122/281,8583/264
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 122,8583
Greatest Common Factor of Numerators i.e. GCF of 122,8583 is 1 .
LCM of Denominators means LCM of 281,264 as per the given fractions.
LCM of 281,264 is 74184 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 122,8583
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Factors of 8583
List of positive integer factors of 8583 that divides 8583 without a remainder.
1,3,2861,8583
Greatest Common Factor
We found the factors 122,8583 . The biggest common factor number is the GCF number.
So the greatest common factor 122,8583 is 1.
Lets's calculate LCM of 281,264
Given numbers has no common factors except 1. So, there LCM is their product i.e 74184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74184
Therefore, the GCF of Fractions 122/281,8583/264 is 1/74184
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 281,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,264) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,264) x common factors =1 x 1 = 1
LCM(281,264) = ( 281 × 264 ) / 1
LCM(281,264) = 74184 / 1
LCM(281,264) = 74184
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 122/281, 8583/264?
Answer: GCF of Numerators as per given numbers 122/281, 8583/264 is
GCF of Numerators i.e. for 122,8583 is 1
LCM of denominators i.e. for 281,264 is 74184.
Thus, GCF of Fractions is 1/74184.Finally, GCF of Fractions for 122/281, 8583/264 is 1/74184.