Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2280/65,3420/489
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 2280,3420
Greatest Common Factor of Numerators i.e. GCF of 2280,3420 is 1140 .
LCM of Denominators means LCM of 65,489 as per the given fractions.
LCM of 65,489 is 31785 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2280,3420
2 | 2280, 3420 |
2 | 1140, 1710 |
3 | 570, 855 |
5 | 190, 285 |
19 | 38, 57 |
2, 3 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 x 19 = 1140
Factors of 2280
List of positive integer factors of 2280 that divides 2280 without a remainder.
1,2,3,4,5,6,8,10,12,15,19,20,24,30,38,40,57,60,76,95,114,120,152,190,228,285,380,456,570,760,1140,2280
Factors of 3420
List of positive integer factors of 3420 that divides 3420 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,19,20,30,36,38,45,57,60,76,90,95,114,171,180,190,228,285,342,380,570,684,855,1140,1710,3420
Greatest Common Factor
We found the factors 2280,3420 . The biggest common factor number is the GCF number.
So the greatest common factor 2280,3420 is 1140.
Lets's calculate LCM of 65,489
Given numbers has no common factors except 1. So, there LCM is their product i.e 31785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1140/31785
Therefore, the GCF of Fractions 2280/65,3420/489 is 1140/31785
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 65,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,489) x common factors =1 x 1 = 1
LCM(65,489) = ( 65 × 489 ) / 1
LCM(65,489) = 31785 / 1
LCM(65,489) = 31785
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 2280/65, 3420/489?
Answer: GCF of Numerators as per given numbers 2280/65, 3420/489 is
GCF of Numerators i.e. for 2280,3420 is 1140
LCM of denominators i.e. for 65,489 is 31785.
Thus, GCF of Fractions is 1140/31785.Finally, GCF of Fractions for 2280/65, 3420/489 is 1140/31785.