Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/288,709/886,666/180
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 62,709,666
Greatest Common Factor of Numerators i.e. GCF of 62,709,666 is 1 .
LCM of Denominators means LCM of 288,886,180 as per the given fractions.
LCM of 288,886,180 is 637920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,709,666
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 709
List of positive integer factors of 709 that divides 709 without a remainder.
1,709
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 62,709,666 . The biggest common factor number is the GCF number.
So the greatest common factor 62,709,666 is 1.
Lets's calculate LCM of 288,886,180
2 | 288, 886, 180 |
2 | 144, 443, 90 |
3 | 72, 443, 45 |
3 | 24, 443, 15 |
8, 443, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 8 x 443 x 5 = 637920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/637920
Therefore, the GCF of Fractions 62/288,709/886,666/180 is 1/637920
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 288,886,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,886,180) = 2
common factors(in case of two or more numbers have common factors) = 36
GCF(288,886,180) x common factors =2 x 36 = 72
LCM(288,886,180) = ( 288 × 886 × 180 ) / 72
LCM(288,886,180) = 45930240 / 72
LCM(288,886,180) = 637920
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 62/288, 709/886, 666/180?
Answer: GCF of Numerators as per given numbers 62/288, 709/886, 666/180 is
GCF of Numerators i.e. for 62,709,666 is 1
LCM of denominators i.e. for 288,886,180 is 637920.
Thus, GCF of Fractions is 1/637920.Finally, GCF of Fractions for 62/288, 709/886, 666/180 is 1/637920.