Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 413/488,7670/673
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 413,7670
Greatest Common Factor of Numerators i.e. GCF of 413,7670 is 59 .
LCM of Denominators means LCM of 488,673 as per the given fractions.
LCM of 488,673 is 328424 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 413,7670
59 | 413, 7670 |
7, 130 |
∴ So the GCF of the given numbers is 59 = 59
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Factors of 7670
List of positive integer factors of 7670 that divides 7670 without a remainder.
1,2,5,10,13,26,59,65,118,130,295,590,767,1534,3835,7670
Greatest Common Factor
We found the factors 413,7670 . The biggest common factor number is the GCF number.
So the greatest common factor 413,7670 is 59.
Lets's calculate LCM of 488,673
Given numbers has no common factors except 1. So, there LCM is their product i.e 328424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/328424
Therefore, the GCF of Fractions 413/488,7670/673 is 59/328424
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 488,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(488,673) x common factors =1 x 1 = 1
LCM(488,673) = ( 488 × 673 ) / 1
LCM(488,673) = 328424 / 1
LCM(488,673) = 328424
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 413/488, 7670/673?
Answer: GCF of Numerators as per given numbers 413/488, 7670/673 is
GCF of Numerators i.e. for 413,7670 is 59
LCM of denominators i.e. for 488,673 is 328424.
Thus, GCF of Fractions is 59/328424.Finally, GCF of Fractions for 413/488, 7670/673 is 59/328424.