Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 620/40,590/8056
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 620,590
Greatest Common Factor of Numerators i.e. GCF of 620,590 is 10 .
LCM of Denominators means LCM of 40,8056 as per the given fractions.
LCM of 40,8056 is 40280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 620,590
2 | 620, 590 |
5 | 310, 295 |
62, 59 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 590
List of positive integer factors of 590 that divides 590 without a remainder.
1,2,5,10,59,118,295,590
Greatest Common Factor
We found the factors 620,590 . The biggest common factor number is the GCF number.
So the greatest common factor 620,590 is 10.
Lets's calculate LCM of 40,8056
2 | 40, 8056 |
2 | 20, 4028 |
2 | 10, 2014 |
5, 1007 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1007 = 40280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/40280
Therefore, the GCF of Fractions 620/40,590/8056 is 10/40280
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 40,8056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,8056) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(40,8056) x common factors =8 x 1 = 8
LCM(40,8056) = ( 40 × 8056 ) / 8
LCM(40,8056) = 322240 / 8
LCM(40,8056) = 40280
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 620/40, 590/8056?
Answer: GCF of Numerators as per given numbers 620/40, 590/8056 is
GCF of Numerators i.e. for 620,590 is 10
LCM of denominators i.e. for 40,8056 is 40280.
Thus, GCF of Fractions is 10/40280.Finally, GCF of Fractions for 620/40, 590/8056 is 10/40280.