Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9583/91,1879/681
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 9583,1879
Greatest Common Factor of Numerators i.e. GCF of 9583,1879 is 1 .
LCM of Denominators means LCM of 91,681 as per the given fractions.
LCM of 91,681 is 61971 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9583,1879
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9583
List of positive integer factors of 9583 that divides 9583 without a remainder.
1,7,37,259,1369,9583
Factors of 1879
List of positive integer factors of 1879 that divides 1879 without a remainder.
1,1879
Greatest Common Factor
We found the factors 9583,1879 . The biggest common factor number is the GCF number.
So the greatest common factor 9583,1879 is 1.
Lets's calculate LCM of 91,681
Given numbers has no common factors except 1. So, there LCM is their product i.e 61971
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61971
Therefore, the GCF of Fractions 9583/91,1879/681 is 1/61971
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 91,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,681) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,681) x common factors =1 x 1 = 1
LCM(91,681) = ( 91 × 681 ) / 1
LCM(91,681) = 61971 / 1
LCM(91,681) = 61971
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 9583/91, 1879/681?
Answer: GCF of Numerators as per given numbers 9583/91, 1879/681 is
GCF of Numerators i.e. for 9583,1879 is 1
LCM of denominators i.e. for 91,681 is 61971.
Thus, GCF of Fractions is 1/61971.Finally, GCF of Fractions for 9583/91, 1879/681 is 1/61971.