Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 840/53,213/90,221/385
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 840,213,221
Greatest Common Factor of Numerators i.e. GCF of 840,213,221 is 1 .
LCM of Denominators means LCM of 53,90,385 as per the given fractions.
LCM of 53,90,385 is 367290 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 840,213,221
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 840
List of positive integer factors of 840 that divides 840 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1,13,17,221
Greatest Common Factor
We found the factors 840,213,221 . The biggest common factor number is the GCF number.
So the greatest common factor 840,213,221 is 1.
Lets's calculate LCM of 53,90,385
5 | 53, 90, 385 |
53, 18, 77 |
∴ So the LCM of the given numbers is 5 x 53 x 18 x 77 = 367290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/367290
Therefore, the GCF of Fractions 840/53,213/90,221/385 is 1/367290
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 53,90,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,90,385) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(53,90,385) x common factors =1 x 5 = 5
LCM(53,90,385) = ( 53 × 90 × 385 ) / 5
LCM(53,90,385) = 1836450 / 5
LCM(53,90,385) = 367290
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 840/53, 213/90, 221/385?
Answer: GCF of Numerators as per given numbers 840/53, 213/90, 221/385 is
GCF of Numerators i.e. for 840,213,221 is 1
LCM of denominators i.e. for 53,90,385 is 367290.
Thus, GCF of Fractions is 1/367290.Finally, GCF of Fractions for 840/53, 213/90, 221/385 is 1/367290.