Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9222/52,1469/987
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 9222,1469
Greatest Common Factor of Numerators i.e. GCF of 9222,1469 is 1 .
LCM of Denominators means LCM of 52,987 as per the given fractions.
LCM of 52,987 is 51324 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9222,1469
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9222
List of positive integer factors of 9222 that divides 9222 without a remainder.
1,2,3,6,29,53,58,87,106,159,174,318,1537,3074,4611,9222
Factors of 1469
List of positive integer factors of 1469 that divides 1469 without a remainder.
1,13,113,1469
Greatest Common Factor
We found the factors 9222,1469 . The biggest common factor number is the GCF number.
So the greatest common factor 9222,1469 is 1.
Lets's calculate LCM of 52,987
Given numbers has no common factors except 1. So, there LCM is their product i.e 51324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51324
Therefore, the GCF of Fractions 9222/52,1469/987 is 1/51324
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 52,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,987) x common factors =1 x 1 = 1
LCM(52,987) = ( 52 × 987 ) / 1
LCM(52,987) = 51324 / 1
LCM(52,987) = 51324
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 9222/52, 1469/987?
Answer: GCF of Numerators as per given numbers 9222/52, 1469/987 is
GCF of Numerators i.e. for 9222,1469 is 1
LCM of denominators i.e. for 52,987 is 51324.
Thus, GCF of Fractions is 1/51324.Finally, GCF of Fractions for 9222/52, 1469/987 is 1/51324.