Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/62,26/33,69/375,945/867
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 8,26,69,945
Greatest Common Factor of Numerators i.e. GCF of 8,26,69,945 is 1 .
LCM of Denominators means LCM of 62,33,375,867 as per the given fractions.
LCM of 62,33,375,867 is 73911750 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,26,69,945
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 8,26,69,945 . The biggest common factor number is the GCF number.
So the greatest common factor 8,26,69,945 is 1.
Lets's calculate LCM of 62,33,375,867
3 | 62, 33, 375, 867 |
62, 11, 125, 289 |
∴ So the LCM of the given numbers is 3 x 62 x 11 x 125 x 289 = 73911750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73911750
Therefore, the GCF of Fractions 8/62,26/33,69/375,945/867 is 1/73911750
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 62,33,375,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,33,375,867) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(62,33,375,867) x common factors =1 x 9 = 9
LCM(62,33,375,867) = ( 62 × 33 × 375 × 867 ) / 9
LCM(62,33,375,867) = 665205750 / 9
LCM(62,33,375,867) = 73911750
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 8/62, 26/33, 69/375, 945/867?
Answer: GCF of Numerators as per given numbers 8/62, 26/33, 69/375, 945/867 is
GCF of Numerators i.e. for 8,26,69,945 is 1
LCM of denominators i.e. for 62,33,375,867 is 73911750.
Thus, GCF of Fractions is 1/73911750.Finally, GCF of Fractions for 8/62, 26/33, 69/375, 945/867 is 1/73911750.