Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 703/364,3907/163
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 703,3907
Greatest Common Factor of Numerators i.e. GCF of 703,3907 is 1 .
LCM of Denominators means LCM of 364,163 as per the given fractions.
LCM of 364,163 is 59332 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 703,3907
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Factors of 3907
List of positive integer factors of 3907 that divides 3907 without a remainder.
1,3907
Greatest Common Factor
We found the factors 703,3907 . The biggest common factor number is the GCF number.
So the greatest common factor 703,3907 is 1.
Lets's calculate LCM of 364,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 59332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59332
Therefore, the GCF of Fractions 703/364,3907/163 is 1/59332
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 364,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(364,163) x common factors =1 x 1 = 1
LCM(364,163) = ( 364 × 163 ) / 1
LCM(364,163) = 59332 / 1
LCM(364,163) = 59332
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 703/364, 3907/163?
Answer: GCF of Numerators as per given numbers 703/364, 3907/163 is
GCF of Numerators i.e. for 703,3907 is 1
LCM of denominators i.e. for 364,163 is 59332.
Thus, GCF of Fractions is 1/59332.Finally, GCF of Fractions for 703/364, 3907/163 is 1/59332.