Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 703/107,9824/507
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 703,9824
Greatest Common Factor of Numerators i.e. GCF of 703,9824 is 1 .
LCM of Denominators means LCM of 107,507 as per the given fractions.
LCM of 107,507 is 54249 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 703,9824
∴ 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 9824
List of positive integer factors of 9824 that divides 9824 without a remainder.
1,2,4,8,16,32,307,614,1228,2456,4912,9824
Greatest Common Factor
We found the factors 703,9824 . The biggest common factor number is the GCF number.
So the greatest common factor 703,9824 is 1.
Lets's calculate LCM of 107,507
Given numbers has no common factors except 1. So, there LCM is their product i.e 54249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54249
Therefore, the GCF of Fractions 703/107,9824/507 is 1/54249
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 107,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,507) x common factors =1 x 1 = 1
LCM(107,507) = ( 107 × 507 ) / 1
LCM(107,507) = 54249 / 1
LCM(107,507) = 54249
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 703/107, 9824/507?
Answer: GCF of Numerators as per given numbers 703/107, 9824/507 is
GCF of Numerators i.e. for 703,9824 is 1
LCM of denominators i.e. for 107,507 is 54249.
Thus, GCF of Fractions is 1/54249.Finally, GCF of Fractions for 703/107, 9824/507 is 1/54249.