Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1767/50,3614/553
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 1767,3614
Greatest Common Factor of Numerators i.e. GCF of 1767,3614 is 1 .
LCM of Denominators means LCM of 50,553 as per the given fractions.
LCM of 50,553 is 27650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1767,3614
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1767
List of positive integer factors of 1767 that divides 1767 without a remainder.
1,3,19,31,57,93,589,1767
Factors of 3614
List of positive integer factors of 3614 that divides 3614 without a remainder.
1,2,13,26,139,278,1807,3614
Greatest Common Factor
We found the factors 1767,3614 . The biggest common factor number is the GCF number.
So the greatest common factor 1767,3614 is 1.
Lets's calculate LCM of 50,553
Given numbers has no common factors except 1. So, there LCM is their product i.e 27650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27650
Therefore, the GCF of Fractions 1767/50,3614/553 is 1/27650
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 50,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,553) x common factors =1 x 1 = 1
LCM(50,553) = ( 50 × 553 ) / 1
LCM(50,553) = 27650 / 1
LCM(50,553) = 27650
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 1767/50, 3614/553?
Answer: GCF of Numerators as per given numbers 1767/50, 3614/553 is
GCF of Numerators i.e. for 1767,3614 is 1
LCM of denominators i.e. for 50,553 is 27650.
Thus, GCF of Fractions is 1/27650.Finally, GCF of Fractions for 1767/50, 3614/553 is 1/27650.