Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/57,69/798,999/861
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 77,69,999
Greatest Common Factor of Numerators i.e. GCF of 77,69,999 is 1 .
LCM of Denominators means LCM of 57,798,861 as per the given fractions.
LCM of 57,798,861 is 32718 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 77,69,999
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Greatest Common Factor
We found the factors 77,69,999 . The biggest common factor number is the GCF number.
So the greatest common factor 77,69,999 is 1.
Lets's calculate LCM of 57,798,861
3 | 57, 798, 861 |
7 | 19, 266, 287 |
19 | 19, 38, 41 |
1, 2, 41 |
∴ So the LCM of the given numbers is 3 x 7 x 19 x 1 x 2 x 41 = 32718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32718
Therefore, the GCF of Fractions 77/57,69/798,999/861 is 1/32718
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 57,798,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,798,861) = 3
common factors(in case of two or more numbers have common factors) = 399
GCF(57,798,861) x common factors =3 x 399 = 1197
LCM(57,798,861) = ( 57 × 798 × 861 ) / 1197
LCM(57,798,861) = 39163446 / 1197
LCM(57,798,861) = 32718
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 77/57, 69/798, 999/861?
Answer: GCF of Numerators as per given numbers 77/57, 69/798, 999/861 is
GCF of Numerators i.e. for 77,69,999 is 1
LCM of denominators i.e. for 57,798,861 is 32718.
Thus, GCF of Fractions is 1/32718.Finally, GCF of Fractions for 77/57, 69/798, 999/861 is 1/32718.