Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/93,35/66,86/296,228/959
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 2,35,86,228
Greatest Common Factor of Numerators i.e. GCF of 2,35,86,228 is 1 .
LCM of Denominators means LCM of 93,66,296,959 as per the given fractions.
LCM of 93,66,296,959 is 290392872 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,35,86,228
∴ 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 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Greatest Common Factor
We found the factors 2,35,86,228 . The biggest common factor number is the GCF number.
So the greatest common factor 2,35,86,228 is 1.
Lets's calculate LCM of 93,66,296,959
2 | 93, 66, 296, 959 |
3 | 93, 33, 148, 959 |
31, 11, 148, 959 |
∴ So the LCM of the given numbers is 2 x 3 x 31 x 11 x 148 x 959 = 290392872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/290392872
Therefore, the GCF of Fractions 2/93,35/66,86/296,228/959 is 1/290392872
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 93,66,296,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,66,296,959) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(93,66,296,959) x common factors =1 x 6 = 6
LCM(93,66,296,959) = ( 93 × 66 × 296 × 959 ) / 6
LCM(93,66,296,959) = 1742357232 / 6
LCM(93,66,296,959) = 290392872
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 2/93, 35/66, 86/296, 228/959?
Answer: GCF of Numerators as per given numbers 2/93, 35/66, 86/296, 228/959 is
GCF of Numerators i.e. for 2,35,86,228 is 1
LCM of denominators i.e. for 93,66,296,959 is 290392872.
Thus, GCF of Fractions is 1/290392872.Finally, GCF of Fractions for 2/93, 35/66, 86/296, 228/959 is 1/290392872.