Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/19,31/89,95/312,855/767
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 5,31,95,855
Greatest Common Factor of Numerators i.e. GCF of 5,31,95,855 is 1 .
LCM of Denominators means LCM of 19,89,312,767 as per the given fractions.
LCM of 19,89,312,767 is 31127928 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,31,95,855
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Greatest Common Factor
We found the factors 5,31,95,855 . The biggest common factor number is the GCF number.
So the greatest common factor 5,31,95,855 is 1.
Lets's calculate LCM of 19,89,312,767
13 | 19, 89, 312, 767 |
19, 89, 24, 59 |
∴ So the LCM of the given numbers is 13 x 19 x 89 x 24 x 59 = 31127928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31127928
Therefore, the GCF of Fractions 5/19,31/89,95/312,855/767 is 1/31127928
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 19,89,312,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,89,312,767) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(19,89,312,767) x common factors =1 x 13 = 13
LCM(19,89,312,767) = ( 19 × 89 × 312 × 767 ) / 13
LCM(19,89,312,767) = 404663064 / 13
LCM(19,89,312,767) = 31127928
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 5/19, 31/89, 95/312, 855/767?
Answer: GCF of Numerators as per given numbers 5/19, 31/89, 95/312, 855/767 is
GCF of Numerators i.e. for 5,31,95,855 is 1
LCM of denominators i.e. for 19,89,312,767 is 31127928.
Thus, GCF of Fractions is 1/31127928.Finally, GCF of Fractions for 5/19, 31/89, 95/312, 855/767 is 1/31127928.