Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 877/90,283/99,136/484
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 877,283,136
Greatest Common Factor of Numerators i.e. GCF of 877,283,136 is 1 .
LCM of Denominators means LCM of 90,99,484 as per the given fractions.
LCM of 90,99,484 is 21780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 877,283,136
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 877
List of positive integer factors of 877 that divides 877 without a remainder.
1,877
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Greatest Common Factor
We found the factors 877,283,136 . The biggest common factor number is the GCF number.
So the greatest common factor 877,283,136 is 1.
Lets's calculate LCM of 90,99,484
2 | 90, 99, 484 |
3 | 45, 99, 242 |
3 | 15, 33, 242 |
11 | 5, 11, 242 |
5, 1, 22 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 5 x 1 x 22 = 21780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21780
Therefore, the GCF of Fractions 877/90,283/99,136/484 is 1/21780
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 90,99,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,99,484) = 1
common factors(in case of two or more numbers have common factors) = 198
GCF(90,99,484) x common factors =1 x 198 = 198
LCM(90,99,484) = ( 90 × 99 × 484 ) / 198
LCM(90,99,484) = 4312440 / 198
LCM(90,99,484) = 21780
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 877/90, 283/99, 136/484?
Answer: GCF of Numerators as per given numbers 877/90, 283/99, 136/484 is
GCF of Numerators i.e. for 877,283,136 is 1
LCM of denominators i.e. for 90,99,484 is 21780.
Thus, GCF of Fractions is 1/21780.Finally, GCF of Fractions for 877/90, 283/99, 136/484 is 1/21780.