Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/257,1670/6624
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 20,1670
Greatest Common Factor of Numerators i.e. GCF of 20,1670 is 10 .
LCM of Denominators means LCM of 257,6624 as per the given fractions.
LCM of 257,6624 is 1702368 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 20,1670
2 | 20, 1670 |
5 | 10, 835 |
2, 167 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 1670
List of positive integer factors of 1670 that divides 1670 without a remainder.
1,2,5,10,167,334,835,1670
Greatest Common Factor
We found the factors 20,1670 . The biggest common factor number is the GCF number.
So the greatest common factor 20,1670 is 10.
Lets's calculate LCM of 257,6624
Given numbers has no common factors except 1. So, there LCM is their product i.e 1702368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1702368
Therefore, the GCF of Fractions 20/257,1670/6624 is 10/1702368
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 257,6624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,6624) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,6624) x common factors =1 x 1 = 1
LCM(257,6624) = ( 257 × 6624 ) / 1
LCM(257,6624) = 1702368 / 1
LCM(257,6624) = 1702368
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 20/257, 1670/6624?
Answer: GCF of Numerators as per given numbers 20/257, 1670/6624 is
GCF of Numerators i.e. for 20,1670 is 10
LCM of denominators i.e. for 257,6624 is 1702368.
Thus, GCF of Fractions is 10/1702368.Finally, GCF of Fractions for 20/257, 1670/6624 is 10/1702368.