Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 570/290,6820/1461
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 570,6820
Greatest Common Factor of Numerators i.e. GCF of 570,6820 is 10 .
LCM of Denominators means LCM of 290,1461 as per the given fractions.
LCM of 290,1461 is 423690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 570,6820
2 | 570, 6820 |
5 | 285, 3410 |
57, 682 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Factors of 6820
List of positive integer factors of 6820 that divides 6820 without a remainder.
1,2,4,5,10,11,20,22,31,44,55,62,110,124,155,220,310,341,620,682,1364,1705,3410,6820
Greatest Common Factor
We found the factors 570,6820 . The biggest common factor number is the GCF number.
So the greatest common factor 570,6820 is 10.
Lets's calculate LCM of 290,1461
Given numbers has no common factors except 1. So, there LCM is their product i.e 423690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/423690
Therefore, the GCF of Fractions 570/290,6820/1461 is 10/423690
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 290,1461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,1461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(290,1461) x common factors =1 x 1 = 1
LCM(290,1461) = ( 290 × 1461 ) / 1
LCM(290,1461) = 423690 / 1
LCM(290,1461) = 423690
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 570/290, 6820/1461?
Answer: GCF of Numerators as per given numbers 570/290, 6820/1461 is
GCF of Numerators i.e. for 570,6820 is 10
LCM of denominators i.e. for 290,1461 is 423690.
Thus, GCF of Fractions is 10/423690.Finally, GCF of Fractions for 570/290, 6820/1461 is 10/423690.