Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8017/67,9672/235
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 8017,9672
Greatest Common Factor of Numerators i.e. GCF of 8017,9672 is 1 .
LCM of Denominators means LCM of 67,235 as per the given fractions.
LCM of 67,235 is 15745 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8017,9672
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8017
List of positive integer factors of 8017 that divides 8017 without a remainder.
1,8017
Factors of 9672
List of positive integer factors of 9672 that divides 9672 without a remainder.
1,2,3,4,6,8,12,13,24,26,31,39,52,62,78,93,104,124,156,186,248,312,372,403,744,806,1209,1612,2418,3224,4836,9672
Greatest Common Factor
We found the factors 8017,9672 . The biggest common factor number is the GCF number.
So the greatest common factor 8017,9672 is 1.
Lets's calculate LCM of 67,235
Given numbers has no common factors except 1. So, there LCM is their product i.e 15745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15745
Therefore, the GCF of Fractions 8017/67,9672/235 is 1/15745
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 67,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,235) x common factors =1 x 1 = 1
LCM(67,235) = ( 67 × 235 ) / 1
LCM(67,235) = 15745 / 1
LCM(67,235) = 15745
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 8017/67, 9672/235?
Answer: GCF of Numerators as per given numbers 8017/67, 9672/235 is
GCF of Numerators i.e. for 8017,9672 is 1
LCM of denominators i.e. for 67,235 is 15745.
Thus, GCF of Fractions is 1/15745.Finally, GCF of Fractions for 8017/67, 9672/235 is 1/15745.