Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 794/677,9462/9256
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 794,9462
Greatest Common Factor of Numerators i.e. GCF of 794,9462 is 2 .
LCM of Denominators means LCM of 677,9256 as per the given fractions.
LCM of 677,9256 is 6266312 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 794,9462
2 | 794, 9462 |
397, 4731 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 9462
List of positive integer factors of 9462 that divides 9462 without a remainder.
1,2,3,6,19,38,57,83,114,166,249,498,1577,3154,4731,9462
Greatest Common Factor
We found the factors 794,9462 . The biggest common factor number is the GCF number.
So the greatest common factor 794,9462 is 2.
Lets's calculate LCM of 677,9256
Given numbers has no common factors except 1. So, there LCM is their product i.e 6266312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6266312
Therefore, the GCF of Fractions 794/677,9462/9256 is 2/6266312
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 677,9256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,9256) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,9256) x common factors =1 x 1 = 1
LCM(677,9256) = ( 677 × 9256 ) / 1
LCM(677,9256) = 6266312 / 1
LCM(677,9256) = 6266312
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 794/677, 9462/9256?
Answer: GCF of Numerators as per given numbers 794/677, 9462/9256 is
GCF of Numerators i.e. for 794,9462 is 2
LCM of denominators i.e. for 677,9256 is 6266312.
Thus, GCF of Fractions is 2/6266312.Finally, GCF of Fractions for 794/677, 9462/9256 is 2/6266312.