Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 790/92,870/22,455/924
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 790,870,455
Greatest Common Factor of Numerators i.e. GCF of 790,870,455 is 5 .
LCM of Denominators means LCM of 92,22,924 as per the given fractions.
LCM of 92,22,924 is 21252 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 790,870,455
5 | 790, 870, 455 |
158, 174, 91 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Greatest Common Factor
We found the factors 790,870,455 . The biggest common factor number is the GCF number.
So the greatest common factor 790,870,455 is 5.
Lets's calculate LCM of 92,22,924
2 | 92, 22, 924 |
2 | 46, 11, 462 |
11 | 23, 11, 231 |
23, 1, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 23 x 1 x 21 = 21252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/21252
Therefore, the GCF of Fractions 790/92,870/22,455/924 is 5/21252
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 92,22,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,22,924) = 2
common factors(in case of two or more numbers have common factors) = 44
GCF(92,22,924) x common factors =2 x 44 = 88
LCM(92,22,924) = ( 92 × 22 × 924 ) / 88
LCM(92,22,924) = 1870176 / 88
LCM(92,22,924) = 21252
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 790/92, 870/22, 455/924?
Answer: GCF of Numerators as per given numbers 790/92, 870/22, 455/924 is
GCF of Numerators i.e. for 790,870,455 is 5
LCM of denominators i.e. for 92,22,924 is 21252.
Thus, GCF of Fractions is 5/21252.Finally, GCF of Fractions for 790/92, 870/22, 455/924 is 5/21252.