Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 210/281,728/842
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 210,728
Greatest Common Factor of Numerators i.e. GCF of 210,728 is 14 .
LCM of Denominators means LCM of 281,842 as per the given fractions.
LCM of 281,842 is 236602 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 210,728
2 | 210, 728 |
7 | 105, 364 |
15, 52 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 210,728 . The biggest common factor number is the GCF number.
So the greatest common factor 210,728 is 14.
Lets's calculate LCM of 281,842
Given numbers has no common factors except 1. So, there LCM is their product i.e 236602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/236602
Therefore, the GCF of Fractions 210/281,728/842 is 14/236602
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 281,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,842) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,842) x common factors =1 x 1 = 1
LCM(281,842) = ( 281 × 842 ) / 1
LCM(281,842) = 236602 / 1
LCM(281,842) = 236602
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 210/281, 728/842?
Answer: GCF of Numerators as per given numbers 210/281, 728/842 is
GCF of Numerators i.e. for 210,728 is 14
LCM of denominators i.e. for 281,842 is 236602.
Thus, GCF of Fractions is 14/236602.Finally, GCF of Fractions for 210/281, 728/842 is 14/236602.