Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9620/681,3771/785
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 9620,3771
Greatest Common Factor of Numerators i.e. GCF of 9620,3771 is 1 .
LCM of Denominators means LCM of 681,785 as per the given fractions.
LCM of 681,785 is 534585 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9620,3771
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9620
List of positive integer factors of 9620 that divides 9620 without a remainder.
1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620
Factors of 3771
List of positive integer factors of 3771 that divides 3771 without a remainder.
1,3,9,419,1257,3771
Greatest Common Factor
We found the factors 9620,3771 . The biggest common factor number is the GCF number.
So the greatest common factor 9620,3771 is 1.
Lets's calculate LCM of 681,785
Given numbers has no common factors except 1. So, there LCM is their product i.e 534585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/534585
Therefore, the GCF of Fractions 9620/681,3771/785 is 1/534585
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 681,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(681,785) x common factors =1 x 1 = 1
LCM(681,785) = ( 681 × 785 ) / 1
LCM(681,785) = 534585 / 1
LCM(681,785) = 534585
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 9620/681, 3771/785?
Answer: GCF of Numerators as per given numbers 9620/681, 3771/785 is
GCF of Numerators i.e. for 9620,3771 is 1
LCM of denominators i.e. for 681,785 is 534585.
Thus, GCF of Fractions is 1/534585.Finally, GCF of Fractions for 9620/681, 3771/785 is 1/534585.