Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 395/660,360/425
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 395,360
Greatest Common Factor of Numerators i.e. GCF of 395,360 is 5 .
LCM of Denominators means LCM of 660,425 as per the given fractions.
LCM of 660,425 is 56100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 395,360
5 | 395, 360 |
79, 72 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 395,360 . The biggest common factor number is the GCF number.
So the greatest common factor 395,360 is 5.
Lets's calculate LCM of 660,425
5 | 660, 425 |
132, 85 |
∴ So the LCM of the given numbers is 5 x 132 x 85 = 56100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/56100
Therefore, the GCF of Fractions 395/660,360/425 is 5/56100
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 660,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,425) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(660,425) x common factors =5 x 1 = 5
LCM(660,425) = ( 660 × 425 ) / 5
LCM(660,425) = 280500 / 5
LCM(660,425) = 56100
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 395/660, 360/425?
Answer: GCF of Numerators as per given numbers 395/660, 360/425 is
GCF of Numerators i.e. for 395,360 is 5
LCM of denominators i.e. for 660,425 is 56100.
Thus, GCF of Fractions is 5/56100.Finally, GCF of Fractions for 395/660, 360/425 is 5/56100.