Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/95,80/99,76/554,640/806
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 1,80,76,640
Greatest Common Factor of Numerators i.e. GCF of 1,80,76,640 is 1 .
LCM of Denominators means LCM of 95,99,554,806 as per the given fractions.
LCM of 95,99,554,806 is 2099779110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,80,76,640
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Greatest Common Factor
We found the factors 1,80,76,640 . The biggest common factor number is the GCF number.
So the greatest common factor 1,80,76,640 is 1.
Lets's calculate LCM of 95,99,554,806
2 | 95, 99, 554, 806 |
95, 99, 277, 403 |
∴ So the LCM of the given numbers is 2 x 95 x 99 x 277 x 403 = 2099779110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2099779110
Therefore, the GCF of Fractions 1/95,80/99,76/554,640/806 is 1/2099779110
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 95,99,554,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,99,554,806) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(95,99,554,806) x common factors =1 x 2 = 2
LCM(95,99,554,806) = ( 95 × 99 × 554 × 806 ) / 2
LCM(95,99,554,806) = 4199558220 / 2
LCM(95,99,554,806) = 2099779110
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 1/95, 80/99, 76/554, 640/806?
Answer: GCF of Numerators as per given numbers 1/95, 80/99, 76/554, 640/806 is
GCF of Numerators i.e. for 1,80,76,640 is 1
LCM of denominators i.e. for 95,99,554,806 is 2099779110.
Thus, GCF of Fractions is 1/2099779110.Finally, GCF of Fractions for 1/95, 80/99, 76/554, 640/806 is 1/2099779110.