Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 724/414,617/827
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 724,617
Greatest Common Factor of Numerators i.e. GCF of 724,617 is 1 .
LCM of Denominators means LCM of 414,827 as per the given fractions.
LCM of 414,827 is 342378 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 724,617
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Greatest Common Factor
We found the factors 724,617 . The biggest common factor number is the GCF number.
So the greatest common factor 724,617 is 1.
Lets's calculate LCM of 414,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 342378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342378
Therefore, the GCF of Fractions 724/414,617/827 is 1/342378
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 414,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(414,827) x common factors =1 x 1 = 1
LCM(414,827) = ( 414 × 827 ) / 1
LCM(414,827) = 342378 / 1
LCM(414,827) = 342378
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 724/414, 617/827?
Answer: GCF of Numerators as per given numbers 724/414, 617/827 is
GCF of Numerators i.e. for 724,617 is 1
LCM of denominators i.e. for 414,827 is 342378.
Thus, GCF of Fractions is 1/342378.Finally, GCF of Fractions for 724/414, 617/827 is 1/342378.