Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 776/207,8647/367
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 776,8647
Greatest Common Factor of Numerators i.e. GCF of 776,8647 is 1 .
LCM of Denominators means LCM of 207,367 as per the given fractions.
LCM of 207,367 is 75969 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 776,8647
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Factors of 8647
List of positive integer factors of 8647 that divides 8647 without a remainder.
1,8647
Greatest Common Factor
We found the factors 776,8647 . The biggest common factor number is the GCF number.
So the greatest common factor 776,8647 is 1.
Lets's calculate LCM of 207,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 75969
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75969
Therefore, the GCF of Fractions 776/207,8647/367 is 1/75969
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 207,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,367) x common factors =1 x 1 = 1
LCM(207,367) = ( 207 × 367 ) / 1
LCM(207,367) = 75969 / 1
LCM(207,367) = 75969
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 776/207, 8647/367?
Answer: GCF of Numerators as per given numbers 776/207, 8647/367 is
GCF of Numerators i.e. for 776,8647 is 1
LCM of denominators i.e. for 207,367 is 75969.
Thus, GCF of Fractions is 1/75969.Finally, GCF of Fractions for 776/207, 8647/367 is 1/75969.