Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7685/124,6381/8009
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 7685,6381
Greatest Common Factor of Numerators i.e. GCF of 7685,6381 is 1 .
LCM of Denominators means LCM of 124,8009 as per the given fractions.
LCM of 124,8009 is 993116 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7685,6381
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7685
List of positive integer factors of 7685 that divides 7685 without a remainder.
1,5,29,53,145,265,1537,7685
Factors of 6381
List of positive integer factors of 6381 that divides 6381 without a remainder.
1,3,9,709,2127,6381
Greatest Common Factor
We found the factors 7685,6381 . The biggest common factor number is the GCF number.
So the greatest common factor 7685,6381 is 1.
Lets's calculate LCM of 124,8009
Given numbers has no common factors except 1. So, there LCM is their product i.e 993116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/993116
Therefore, the GCF of Fractions 7685/124,6381/8009 is 1/993116
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 124,8009 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,8009) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(124,8009) x common factors =1 x 1 = 1
LCM(124,8009) = ( 124 × 8009 ) / 1
LCM(124,8009) = 993116 / 1
LCM(124,8009) = 993116
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 7685/124, 6381/8009?
Answer: GCF of Numerators as per given numbers 7685/124, 6381/8009 is
GCF of Numerators i.e. for 7685,6381 is 1
LCM of denominators i.e. for 124,8009 is 993116.
Thus, GCF of Fractions is 1/993116.Finally, GCF of Fractions for 7685/124, 6381/8009 is 1/993116.