Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3673/68,1637/517
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 3673,1637
Greatest Common Factor of Numerators i.e. GCF of 3673,1637 is 1 .
LCM of Denominators means LCM of 68,517 as per the given fractions.
LCM of 68,517 is 35156 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3673,1637
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3673
List of positive integer factors of 3673 that divides 3673 without a remainder.
1,3673
Factors of 1637
List of positive integer factors of 1637 that divides 1637 without a remainder.
1,1637
Greatest Common Factor
We found the factors 3673,1637 . The biggest common factor number is the GCF number.
So the greatest common factor 3673,1637 is 1.
Lets's calculate LCM of 68,517
Given numbers has no common factors except 1. So, there LCM is their product i.e 35156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35156
Therefore, the GCF of Fractions 3673/68,1637/517 is 1/35156
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 68,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,517) x common factors =1 x 1 = 1
LCM(68,517) = ( 68 × 517 ) / 1
LCM(68,517) = 35156 / 1
LCM(68,517) = 35156
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 3673/68, 1637/517?
Answer: GCF of Numerators as per given numbers 3673/68, 1637/517 is
GCF of Numerators i.e. for 3673,1637 is 1
LCM of denominators i.e. for 68,517 is 35156.
Thus, GCF of Fractions is 1/35156.Finally, GCF of Fractions for 3673/68, 1637/517 is 1/35156.