Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3360/670,5499/418
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 3360,5499
Greatest Common Factor of Numerators i.e. GCF of 3360,5499 is 3 .
LCM of Denominators means LCM of 670,418 as per the given fractions.
LCM of 670,418 is 140030 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3360,5499
3 | 3360, 5499 |
1120, 1833 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3360
List of positive integer factors of 3360 that divides 3360 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,28,30,32,35,40,42,48,56,60,70,80,84,96,105,112,120,140,160,168,210,224,240,280,336,420,480,560,672,840,1120,1680,3360
Factors of 5499
List of positive integer factors of 5499 that divides 5499 without a remainder.
1,3,9,13,39,47,117,141,423,611,1833,5499
Greatest Common Factor
We found the factors 3360,5499 . The biggest common factor number is the GCF number.
So the greatest common factor 3360,5499 is 3.
Lets's calculate LCM of 670,418
2 | 670, 418 |
335, 209 |
∴ So the LCM of the given numbers is 2 x 335 x 209 = 140030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/140030
Therefore, the GCF of Fractions 3360/670,5499/418 is 3/140030
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 670,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(670,418) x common factors =2 x 1 = 2
LCM(670,418) = ( 670 × 418 ) / 2
LCM(670,418) = 280060 / 2
LCM(670,418) = 140030
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 3360/670, 5499/418?
Answer: GCF of Numerators as per given numbers 3360/670, 5499/418 is
GCF of Numerators i.e. for 3360,5499 is 3
LCM of denominators i.e. for 670,418 is 140030.
Thus, GCF of Fractions is 3/140030.Finally, GCF of Fractions for 3360/670, 5499/418 is 3/140030.