Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 277/43,433/37,702/851
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 277,433,702
Greatest Common Factor of Numerators i.e. GCF of 277,433,702 is 1 .
LCM of Denominators means LCM of 43,37,851 as per the given fractions.
LCM of 43,37,851 is 36593 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 277,433,702
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 277
List of positive integer factors of 277 that divides 277 without a remainder.
1,277
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 277,433,702 . The biggest common factor number is the GCF number.
So the greatest common factor 277,433,702 is 1.
Lets's calculate LCM of 43,37,851
37 | 43, 37, 851 |
43, 1, 23 |
∴ So the LCM of the given numbers is 37 x 43 x 1 x 23 = 36593
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36593
Therefore, the GCF of Fractions 277/43,433/37,702/851 is 1/36593
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 43,37,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,37,851) = 1
common factors(in case of two or more numbers have common factors) = 37
GCF(43,37,851) x common factors =1 x 37 = 37
LCM(43,37,851) = ( 43 × 37 × 851 ) / 37
LCM(43,37,851) = 1353941 / 37
LCM(43,37,851) = 36593
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 277/43, 433/37, 702/851?
Answer: GCF of Numerators as per given numbers 277/43, 433/37, 702/851 is
GCF of Numerators i.e. for 277,433,702 is 1
LCM of denominators i.e. for 43,37,851 is 36593.
Thus, GCF of Fractions is 1/36593.Finally, GCF of Fractions for 277/43, 433/37, 702/851 is 1/36593.