Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 720/160,400/561,817/830
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 720,400,817
Greatest Common Factor of Numerators i.e. GCF of 720,400,817 is 1 .
LCM of Denominators means LCM of 160,561,830 as per the given fractions.
LCM of 160,561,830 is 7450080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 720,400,817
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1,19,43,817
Greatest Common Factor
We found the factors 720,400,817 . The biggest common factor number is the GCF number.
So the greatest common factor 720,400,817 is 1.
Lets's calculate LCM of 160,561,830
2 | 160, 561, 830 |
5 | 80, 561, 415 |
16, 561, 83 |
∴ So the LCM of the given numbers is 2 x 5 x 16 x 561 x 83 = 7450080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7450080
Therefore, the GCF of Fractions 720/160,400/561,817/830 is 1/7450080
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 160,561,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,561,830) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(160,561,830) x common factors =1 x 10 = 10
LCM(160,561,830) = ( 160 × 561 × 830 ) / 10
LCM(160,561,830) = 74500800 / 10
LCM(160,561,830) = 7450080
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 720/160, 400/561, 817/830?
Answer: GCF of Numerators as per given numbers 720/160, 400/561, 817/830 is
GCF of Numerators i.e. for 720,400,817 is 1
LCM of denominators i.e. for 160,561,830 is 7450080.
Thus, GCF of Fractions is 1/7450080.Finally, GCF of Fractions for 720/160, 400/561, 817/830 is 1/7450080.