Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 900/82,685/668
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 900,685
Greatest Common Factor of Numerators i.e. GCF of 900,685 is 5 .
LCM of Denominators means LCM of 82,668 as per the given fractions.
LCM of 82,668 is 27388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 900,685
5 | 900, 685 |
180, 137 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Greatest Common Factor
We found the factors 900,685 . The biggest common factor number is the GCF number.
So the greatest common factor 900,685 is 5.
Lets's calculate LCM of 82,668
2 | 82, 668 |
41, 334 |
∴ So the LCM of the given numbers is 2 x 41 x 334 = 27388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/27388
Therefore, the GCF of Fractions 900/82,685/668 is 5/27388
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 82,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,668) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,668) x common factors =2 x 1 = 2
LCM(82,668) = ( 82 × 668 ) / 2
LCM(82,668) = 54776 / 2
LCM(82,668) = 27388
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 900/82, 685/668?
Answer: GCF of Numerators as per given numbers 900/82, 685/668 is
GCF of Numerators i.e. for 900,685 is 5
LCM of denominators i.e. for 82,668 is 27388.
Thus, GCF of Fractions is 5/27388.Finally, GCF of Fractions for 900/82, 685/668 is 5/27388.