Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 795/451,9783/705
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 795,9783
Greatest Common Factor of Numerators i.e. GCF of 795,9783 is 3 .
LCM of Denominators means LCM of 451,705 as per the given fractions.
LCM of 451,705 is 317955 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 795,9783
3 | 795, 9783 |
265, 3261 |
∴ So the GCF of the given numbers is 3 = 3
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 9783
List of positive integer factors of 9783 that divides 9783 without a remainder.
1,3,9,1087,3261,9783
Greatest Common Factor
We found the factors 795,9783 . The biggest common factor number is the GCF number.
So the greatest common factor 795,9783 is 3.
Lets's calculate LCM of 451,705
Given numbers has no common factors except 1. So, there LCM is their product i.e 317955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/317955
Therefore, the GCF of Fractions 795/451,9783/705 is 3/317955
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 451,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,705) x common factors =1 x 1 = 1
LCM(451,705) = ( 451 × 705 ) / 1
LCM(451,705) = 317955 / 1
LCM(451,705) = 317955
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 795/451, 9783/705?
Answer: GCF of Numerators as per given numbers 795/451, 9783/705 is
GCF of Numerators i.e. for 795,9783 is 3
LCM of denominators i.e. for 451,705 is 317955.
Thus, GCF of Fractions is 3/317955.Finally, GCF of Fractions for 795/451, 9783/705 is 3/317955.