Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 153/21,278/26,894/60
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 153,278,894
Greatest Common Factor of Numerators i.e. GCF of 153,278,894 is 1 .
LCM of Denominators means LCM of 21,26,60 as per the given fractions.
LCM of 21,26,60 is 5460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 153,278,894
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 153
List of positive integer factors of 153 that divides 153 without a remainder.
1,3,9,17,51,153
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Greatest Common Factor
We found the factors 153,278,894 . The biggest common factor number is the GCF number.
So the greatest common factor 153,278,894 is 1.
Lets's calculate LCM of 21,26,60
2 | 21, 26, 60 |
3 | 21, 13, 30 |
7, 13, 10 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 10 = 5460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5460
Therefore, the GCF of Fractions 153/21,278/26,894/60 is 1/5460
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 21,26,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,26,60) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(21,26,60) x common factors =1 x 6 = 6
LCM(21,26,60) = ( 21 × 26 × 60 ) / 6
LCM(21,26,60) = 32760 / 6
LCM(21,26,60) = 5460
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 153/21, 278/26, 894/60?
Answer: GCF of Numerators as per given numbers 153/21, 278/26, 894/60 is
GCF of Numerators i.e. for 153,278,894 is 1
LCM of denominators i.e. for 21,26,60 is 5460.
Thus, GCF of Fractions is 1/5460.Finally, GCF of Fractions for 153/21, 278/26, 894/60 is 1/5460.