Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1260/81,2247/362
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 1260,2247
Greatest Common Factor of Numerators i.e. GCF of 1260,2247 is 21 .
LCM of Denominators means LCM of 81,362 as per the given fractions.
LCM of 81,362 is 29322 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1260,2247
3 | 1260, 2247 |
7 | 420, 749 |
60, 107 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Factors of 1260
List of positive integer factors of 1260 that divides 1260 without a remainder.
1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,60,63,70,84,90,105,126,140,180,210,252,315,420,630,1260
Factors of 2247
List of positive integer factors of 2247 that divides 2247 without a remainder.
1,3,7,21,107,321,749,2247
Greatest Common Factor
We found the factors 1260,2247 . The biggest common factor number is the GCF number.
So the greatest common factor 1260,2247 is 21.
Lets's calculate LCM of 81,362
Given numbers has no common factors except 1. So, there LCM is their product i.e 29322
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/29322
Therefore, the GCF of Fractions 1260/81,2247/362 is 21/29322
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 81,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,362) x common factors =1 x 1 = 1
LCM(81,362) = ( 81 × 362 ) / 1
LCM(81,362) = 29322 / 1
LCM(81,362) = 29322
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 1260/81, 2247/362?
Answer: GCF of Numerators as per given numbers 1260/81, 2247/362 is
GCF of Numerators i.e. for 1260,2247 is 21
LCM of denominators i.e. for 81,362 is 29322.
Thus, GCF of Fractions is 21/29322.Finally, GCF of Fractions for 1260/81, 2247/362 is 21/29322.