Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/71,840/96,249/200
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 84,840,249
Greatest Common Factor of Numerators i.e. GCF of 84,840,249 is 3 .
LCM of Denominators means LCM of 71,96,200 as per the given fractions.
LCM of 71,96,200 is 170400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,840,249
3 | 84, 840, 249 |
28, 280, 83 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
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 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Greatest Common Factor
We found the factors 84,840,249 . The biggest common factor number is the GCF number.
So the greatest common factor 84,840,249 is 3.
Lets's calculate LCM of 71,96,200
2 | 71, 96, 200 |
2 | 71, 48, 100 |
2 | 71, 24, 50 |
71, 12, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 71 x 12 x 25 = 170400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/170400
Therefore, the GCF of Fractions 84/71,840/96,249/200 is 3/170400
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 71,96,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,96,200) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(71,96,200) x common factors =1 x 8 = 8
LCM(71,96,200) = ( 71 × 96 × 200 ) / 8
LCM(71,96,200) = 1363200 / 8
LCM(71,96,200) = 170400
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 84/71, 840/96, 249/200?
Answer: GCF of Numerators as per given numbers 84/71, 840/96, 249/200 is
GCF of Numerators i.e. for 84,840,249 is 3
LCM of denominators i.e. for 71,96,200 is 170400.
Thus, GCF of Fractions is 3/170400.Finally, GCF of Fractions for 84/71, 840/96, 249/200 is 3/170400.