Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9607/684,8010/959
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 9607,8010
Greatest Common Factor of Numerators i.e. GCF of 9607,8010 is 1 .
LCM of Denominators means LCM of 684,959 as per the given fractions.
LCM of 684,959 is 655956 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9607,8010
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9607
List of positive integer factors of 9607 that divides 9607 without a remainder.
1,13,739,9607
Factors of 8010
List of positive integer factors of 8010 that divides 8010 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,89,90,178,267,445,534,801,890,1335,1602,2670,4005,8010
Greatest Common Factor
We found the factors 9607,8010 . The biggest common factor number is the GCF number.
So the greatest common factor 9607,8010 is 1.
Lets's calculate LCM of 684,959
Given numbers has no common factors except 1. So, there LCM is their product i.e 655956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/655956
Therefore, the GCF of Fractions 9607/684,8010/959 is 1/655956
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 684,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,959) x common factors =1 x 1 = 1
LCM(684,959) = ( 684 × 959 ) / 1
LCM(684,959) = 655956 / 1
LCM(684,959) = 655956
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 9607/684, 8010/959?
Answer: GCF of Numerators as per given numbers 9607/684, 8010/959 is
GCF of Numerators i.e. for 9607,8010 is 1
LCM of denominators i.e. for 684,959 is 655956.
Thus, GCF of Fractions is 1/655956.Finally, GCF of Fractions for 9607/684, 8010/959 is 1/655956.