Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 795/45,397/4877
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 795,397
Greatest Common Factor of Numerators i.e. GCF of 795,397 is 1 .
LCM of Denominators means LCM of 45,4877 as per the given fractions.
LCM of 45,4877 is 219465 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 795,397
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Greatest Common Factor
We found the factors 795,397 . The biggest common factor number is the GCF number.
So the greatest common factor 795,397 is 1.
Lets's calculate LCM of 45,4877
Given numbers has no common factors except 1. So, there LCM is their product i.e 219465
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219465
Therefore, the GCF of Fractions 795/45,397/4877 is 1/219465
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 45,4877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,4877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,4877) x common factors =1 x 1 = 1
LCM(45,4877) = ( 45 × 4877 ) / 1
LCM(45,4877) = 219465 / 1
LCM(45,4877) = 219465
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 795/45, 397/4877?
Answer: GCF of Numerators as per given numbers 795/45, 397/4877 is
GCF of Numerators i.e. for 795,397 is 1
LCM of denominators i.e. for 45,4877 is 219465.
Thus, GCF of Fractions is 1/219465.Finally, GCF of Fractions for 795/45, 397/4877 is 1/219465.