Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9277/422,4063/701
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 9277,4063
Greatest Common Factor of Numerators i.e. GCF of 9277,4063 is 1 .
LCM of Denominators means LCM of 422,701 as per the given fractions.
LCM of 422,701 is 295822 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9277,4063
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9277
List of positive integer factors of 9277 that divides 9277 without a remainder.
1,9277
Factors of 4063
List of positive integer factors of 4063 that divides 4063 without a remainder.
1,17,239,4063
Greatest Common Factor
We found the factors 9277,4063 . The biggest common factor number is the GCF number.
So the greatest common factor 9277,4063 is 1.
Lets's calculate LCM of 422,701
Given numbers has no common factors except 1. So, there LCM is their product i.e 295822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/295822
Therefore, the GCF of Fractions 9277/422,4063/701 is 1/295822
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 422,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,701) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(422,701) x common factors =1 x 1 = 1
LCM(422,701) = ( 422 × 701 ) / 1
LCM(422,701) = 295822 / 1
LCM(422,701) = 295822
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 9277/422, 4063/701?
Answer: GCF of Numerators as per given numbers 9277/422, 4063/701 is
GCF of Numerators i.e. for 9277,4063 is 1
LCM of denominators i.e. for 422,701 is 295822.
Thus, GCF of Fractions is 1/295822.Finally, GCF of Fractions for 9277/422, 4063/701 is 1/295822.