Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1631/63,9689/695
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 1631,9689
Greatest Common Factor of Numerators i.e. GCF of 1631,9689 is 1 .
LCM of Denominators means LCM of 63,695 as per the given fractions.
LCM of 63,695 is 43785 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1631,9689
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1631
List of positive integer factors of 1631 that divides 1631 without a remainder.
1,7,233,1631
Factors of 9689
List of positive integer factors of 9689 that divides 9689 without a remainder.
1,9689
Greatest Common Factor
We found the factors 1631,9689 . The biggest common factor number is the GCF number.
So the greatest common factor 1631,9689 is 1.
Lets's calculate LCM of 63,695
Given numbers has no common factors except 1. So, there LCM is their product i.e 43785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43785
Therefore, the GCF of Fractions 1631/63,9689/695 is 1/43785
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 63,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,695) x common factors =1 x 1 = 1
LCM(63,695) = ( 63 × 695 ) / 1
LCM(63,695) = 43785 / 1
LCM(63,695) = 43785
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 1631/63, 9689/695?
Answer: GCF of Numerators as per given numbers 1631/63, 9689/695 is
GCF of Numerators i.e. for 1631,9689 is 1
LCM of denominators i.e. for 63,695 is 43785.
Thus, GCF of Fractions is 1/43785.Finally, GCF of Fractions for 1631/63, 9689/695 is 1/43785.