Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9587/508,5826/1501
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 9587,5826
Greatest Common Factor of Numerators i.e. GCF of 9587,5826 is 1 .
LCM of Denominators means LCM of 508,1501 as per the given fractions.
LCM of 508,1501 is 762508 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9587,5826
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9587
List of positive integer factors of 9587 that divides 9587 without a remainder.
1,9587
Factors of 5826
List of positive integer factors of 5826 that divides 5826 without a remainder.
1,2,3,6,971,1942,2913,5826
Greatest Common Factor
We found the factors 9587,5826 . The biggest common factor number is the GCF number.
So the greatest common factor 9587,5826 is 1.
Lets's calculate LCM of 508,1501
Given numbers has no common factors except 1. So, there LCM is their product i.e 762508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/762508
Therefore, the GCF of Fractions 9587/508,5826/1501 is 1/762508
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 508,1501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,1501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(508,1501) x common factors =1 x 1 = 1
LCM(508,1501) = ( 508 × 1501 ) / 1
LCM(508,1501) = 762508 / 1
LCM(508,1501) = 762508
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 9587/508, 5826/1501?
Answer: GCF of Numerators as per given numbers 9587/508, 5826/1501 is
GCF of Numerators i.e. for 9587,5826 is 1
LCM of denominators i.e. for 508,1501 is 762508.
Thus, GCF of Fractions is 1/762508.Finally, GCF of Fractions for 9587/508, 5826/1501 is 1/762508.