Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 825/59,344/610
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 825,344
Greatest Common Factor of Numerators i.e. GCF of 825,344 is 1 .
LCM of Denominators means LCM of 59,610 as per the given fractions.
LCM of 59,610 is 35990 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 825,344
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Greatest Common Factor
We found the factors 825,344 . The biggest common factor number is the GCF number.
So the greatest common factor 825,344 is 1.
Lets's calculate LCM of 59,610
Given numbers has no common factors except 1. So, there LCM is their product i.e 35990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35990
Therefore, the GCF of Fractions 825/59,344/610 is 1/35990
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 59,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,610) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,610) x common factors =1 x 1 = 1
LCM(59,610) = ( 59 × 610 ) / 1
LCM(59,610) = 35990 / 1
LCM(59,610) = 35990
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 825/59, 344/610?
Answer: GCF of Numerators as per given numbers 825/59, 344/610 is
GCF of Numerators i.e. for 825,344 is 1
LCM of denominators i.e. for 59,610 is 35990.
Thus, GCF of Fractions is 1/35990.Finally, GCF of Fractions for 825/59, 344/610 is 1/35990.