Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/54,48/28,88/858,273/885
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 2,48,88,273
Greatest Common Factor of Numerators i.e. GCF of 2,48,88,273 is 1 .
LCM of Denominators means LCM of 54,28,858,885 as per the given fractions.
LCM of 54,28,858,885 is 31891860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,48,88,273
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Greatest Common Factor
We found the factors 2,48,88,273 . The biggest common factor number is the GCF number.
So the greatest common factor 2,48,88,273 is 1.
Lets's calculate LCM of 54,28,858,885
2 | 54, 28, 858, 885 |
3 | 27, 14, 429, 885 |
9, 14, 143, 295 |
∴ So the LCM of the given numbers is 2 x 3 x 9 x 14 x 143 x 295 = 31891860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31891860
Therefore, the GCF of Fractions 2/54,48/28,88/858,273/885 is 1/31891860
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 54,28,858,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,28,858,885) = 1
common factors(in case of two or more numbers have common factors) = 36
GCF(54,28,858,885) x common factors =1 x 36 = 36
LCM(54,28,858,885) = ( 54 × 28 × 858 × 885 ) / 36
LCM(54,28,858,885) = 1148106960 / 36
LCM(54,28,858,885) = 31891860
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 2/54, 48/28, 88/858, 273/885?
Answer: GCF of Numerators as per given numbers 2/54, 48/28, 88/858, 273/885 is
GCF of Numerators i.e. for 2,48,88,273 is 1
LCM of denominators i.e. for 54,28,858,885 is 31891860.
Thus, GCF of Fractions is 1/31891860.Finally, GCF of Fractions for 2/54, 48/28, 88/858, 273/885 is 1/31891860.