Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2488/63,6621/922
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 2488,6621
Greatest Common Factor of Numerators i.e. GCF of 2488,6621 is 1 .
LCM of Denominators means LCM of 63,922 as per the given fractions.
LCM of 63,922 is 58086 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2488,6621
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2488
List of positive integer factors of 2488 that divides 2488 without a remainder.
1,2,4,8,311,622,1244,2488
Factors of 6621
List of positive integer factors of 6621 that divides 6621 without a remainder.
1,3,2207,6621
Greatest Common Factor
We found the factors 2488,6621 . The biggest common factor number is the GCF number.
So the greatest common factor 2488,6621 is 1.
Lets's calculate LCM of 63,922
Given numbers has no common factors except 1. So, there LCM is their product i.e 58086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58086
Therefore, the GCF of Fractions 2488/63,6621/922 is 1/58086
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 63,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,922) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,922) x common factors =1 x 1 = 1
LCM(63,922) = ( 63 × 922 ) / 1
LCM(63,922) = 58086 / 1
LCM(63,922) = 58086
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 2488/63, 6621/922?
Answer: GCF of Numerators as per given numbers 2488/63, 6621/922 is
GCF of Numerators i.e. for 2488,6621 is 1
LCM of denominators i.e. for 63,922 is 58086.
Thus, GCF of Fractions is 1/58086.Finally, GCF of Fractions for 2488/63, 6621/922 is 1/58086.