Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 640/661,849/942
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 640,849
Greatest Common Factor of Numerators i.e. GCF of 640,849 is 1 .
LCM of Denominators means LCM of 661,942 as per the given fractions.
LCM of 661,942 is 622662 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 640,849
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Factors of 849
List of positive integer factors of 849 that divides 849 without a remainder.
1,3,283,849
Greatest Common Factor
We found the factors 640,849 . The biggest common factor number is the GCF number.
So the greatest common factor 640,849 is 1.
Lets's calculate LCM of 661,942
Given numbers has no common factors except 1. So, there LCM is their product i.e 622662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/622662
Therefore, the GCF of Fractions 640/661,849/942 is 1/622662
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 661,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,942) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,942) x common factors =1 x 1 = 1
LCM(661,942) = ( 661 × 942 ) / 1
LCM(661,942) = 622662 / 1
LCM(661,942) = 622662
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 640/661, 849/942?
Answer: GCF of Numerators as per given numbers 640/661, 849/942 is
GCF of Numerators i.e. for 640,849 is 1
LCM of denominators i.e. for 661,942 is 622662.
Thus, GCF of Fractions is 1/622662.Finally, GCF of Fractions for 640/661, 849/942 is 1/622662.