Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 920/37,638/3986
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 920,638
Greatest Common Factor of Numerators i.e. GCF of 920,638 is 2 .
LCM of Denominators means LCM of 37,3986 as per the given fractions.
LCM of 37,3986 is 147482 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 920,638
2 | 920, 638 |
460, 319 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 920,638 . The biggest common factor number is the GCF number.
So the greatest common factor 920,638 is 2.
Lets's calculate LCM of 37,3986
Given numbers has no common factors except 1. So, there LCM is their product i.e 147482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/147482
Therefore, the GCF of Fractions 920/37,638/3986 is 2/147482
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 37,3986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,3986) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,3986) x common factors =1 x 1 = 1
LCM(37,3986) = ( 37 × 3986 ) / 1
LCM(37,3986) = 147482 / 1
LCM(37,3986) = 147482
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 920/37, 638/3986?
Answer: GCF of Numerators as per given numbers 920/37, 638/3986 is
GCF of Numerators i.e. for 920,638 is 2
LCM of denominators i.e. for 37,3986 is 147482.
Thus, GCF of Fractions is 2/147482.Finally, GCF of Fractions for 920/37, 638/3986 is 2/147482.