Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 647/35,213/72,375/210
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 647,213,375
Greatest Common Factor of Numerators i.e. GCF of 647,213,375 is 1 .
LCM of Denominators means LCM of 35,72,210 as per the given fractions.
LCM of 35,72,210 is 2520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 647,213,375
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 647,213,375 . The biggest common factor number is the GCF number.
So the greatest common factor 647,213,375 is 1.
Lets's calculate LCM of 35,72,210
2 | 35, 72, 210 |
3 | 35, 36, 105 |
5 | 35, 12, 35 |
7 | 7, 12, 7 |
1, 12, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 12 x 1 = 2520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2520
Therefore, the GCF of Fractions 647/35,213/72,375/210 is 1/2520
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 35,72,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,72,210) = 1
common factors(in case of two or more numbers have common factors) = 210
GCF(35,72,210) x common factors =1 x 210 = 210
LCM(35,72,210) = ( 35 × 72 × 210 ) / 210
LCM(35,72,210) = 529200 / 210
LCM(35,72,210) = 2520
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 647/35, 213/72, 375/210?
Answer: GCF of Numerators as per given numbers 647/35, 213/72, 375/210 is
GCF of Numerators i.e. for 647,213,375 is 1
LCM of denominators i.e. for 35,72,210 is 2520.
Thus, GCF of Fractions is 1/2520.Finally, GCF of Fractions for 647/35, 213/72, 375/210 is 1/2520.