Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2247/260,6720/472
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 2247,6720
Greatest Common Factor of Numerators i.e. GCF of 2247,6720 is 21 .
LCM of Denominators means LCM of 260,472 as per the given fractions.
LCM of 260,472 is 30680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2247,6720
3 | 2247, 6720 |
7 | 749, 2240 |
107, 320 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Factors of 2247
List of positive integer factors of 2247 that divides 2247 without a remainder.
1,3,7,21,107,321,749,2247
Factors of 6720
List of positive integer factors of 6720 that divides 6720 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,64,70,80,84,96,105,112,120,140,160,168,192,210,224,240,280,320,336,420,448,480,560,672,840,960,1120,1344,1680,2240,3360,6720
Greatest Common Factor
We found the factors 2247,6720 . The biggest common factor number is the GCF number.
So the greatest common factor 2247,6720 is 21.
Lets's calculate LCM of 260,472
2 | 260, 472 |
2 | 130, 236 |
65, 118 |
∴ So the LCM of the given numbers is 2 x 2 x 65 x 118 = 30680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/30680
Therefore, the GCF of Fractions 2247/260,6720/472 is 21/30680
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 260,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,472) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(260,472) x common factors =4 x 1 = 4
LCM(260,472) = ( 260 × 472 ) / 4
LCM(260,472) = 122720 / 4
LCM(260,472) = 30680
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 2247/260, 6720/472?
Answer: GCF of Numerators as per given numbers 2247/260, 6720/472 is
GCF of Numerators i.e. for 2247,6720 is 21
LCM of denominators i.e. for 260,472 is 30680.
Thus, GCF of Fractions is 21/30680.Finally, GCF of Fractions for 2247/260, 6720/472 is 21/30680.