Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 422/88,685/6697
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 422,685
Greatest Common Factor of Numerators i.e. GCF of 422,685 is 1 .
LCM of Denominators means LCM of 88,6697 as per the given fractions.
LCM of 88,6697 is 589336 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 422,685
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Greatest Common Factor
We found the factors 422,685 . The biggest common factor number is the GCF number.
So the greatest common factor 422,685 is 1.
Lets's calculate LCM of 88,6697
Given numbers has no common factors except 1. So, there LCM is their product i.e 589336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/589336
Therefore, the GCF of Fractions 422/88,685/6697 is 1/589336
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 88,6697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,6697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,6697) x common factors =1 x 1 = 1
LCM(88,6697) = ( 88 × 6697 ) / 1
LCM(88,6697) = 589336 / 1
LCM(88,6697) = 589336
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 422/88, 685/6697?
Answer: GCF of Numerators as per given numbers 422/88, 685/6697 is
GCF of Numerators i.e. for 422,685 is 1
LCM of denominators i.e. for 88,6697 is 589336.
Thus, GCF of Fractions is 1/589336.Finally, GCF of Fractions for 422/88, 685/6697 is 1/589336.