Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4387/506,2608/601
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 4387,2608
Greatest Common Factor of Numerators i.e. GCF of 4387,2608 is 1 .
LCM of Denominators means LCM of 506,601 as per the given fractions.
LCM of 506,601 is 304106 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4387,2608
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4387
List of positive integer factors of 4387 that divides 4387 without a remainder.
1,41,107,4387
Factors of 2608
List of positive integer factors of 2608 that divides 2608 without a remainder.
1,2,4,8,16,163,326,652,1304,2608
Greatest Common Factor
We found the factors 4387,2608 . The biggest common factor number is the GCF number.
So the greatest common factor 4387,2608 is 1.
Lets's calculate LCM of 506,601
Given numbers has no common factors except 1. So, there LCM is their product i.e 304106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/304106
Therefore, the GCF of Fractions 4387/506,2608/601 is 1/304106
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 506,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(506,601) x common factors =1 x 1 = 1
LCM(506,601) = ( 506 × 601 ) / 1
LCM(506,601) = 304106 / 1
LCM(506,601) = 304106
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 4387/506, 2608/601?
Answer: GCF of Numerators as per given numbers 4387/506, 2608/601 is
GCF of Numerators i.e. for 4387,2608 is 1
LCM of denominators i.e. for 506,601 is 304106.
Thus, GCF of Fractions is 1/304106.Finally, GCF of Fractions for 4387/506, 2608/601 is 1/304106.