Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5601/130,8476/913
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 5601,8476
Greatest Common Factor of Numerators i.e. GCF of 5601,8476 is 1 .
LCM of Denominators means LCM of 130,913 as per the given fractions.
LCM of 130,913 is 118690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5601,8476
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5601
List of positive integer factors of 5601 that divides 5601 without a remainder.
1,3,1867,5601
Factors of 8476
List of positive integer factors of 8476 that divides 8476 without a remainder.
1,2,4,13,26,52,163,326,652,2119,4238,8476
Greatest Common Factor
We found the factors 5601,8476 . The biggest common factor number is the GCF number.
So the greatest common factor 5601,8476 is 1.
Lets's calculate LCM of 130,913
Given numbers has no common factors except 1. So, there LCM is their product i.e 118690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118690
Therefore, the GCF of Fractions 5601/130,8476/913 is 1/118690
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 130,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(130,913) x common factors =1 x 1 = 1
LCM(130,913) = ( 130 × 913 ) / 1
LCM(130,913) = 118690 / 1
LCM(130,913) = 118690
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 5601/130, 8476/913?
Answer: GCF of Numerators as per given numbers 5601/130, 8476/913 is
GCF of Numerators i.e. for 5601,8476 is 1
LCM of denominators i.e. for 130,913 is 118690.
Thus, GCF of Fractions is 1/118690.Finally, GCF of Fractions for 5601/130, 8476/913 is 1/118690.