Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 628/639,3865/758
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 628,3865
Greatest Common Factor of Numerators i.e. GCF of 628,3865 is 1 .
LCM of Denominators means LCM of 639,758 as per the given fractions.
LCM of 639,758 is 484362 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 628,3865
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Factors of 3865
List of positive integer factors of 3865 that divides 3865 without a remainder.
1,5,773,3865
Greatest Common Factor
We found the factors 628,3865 . The biggest common factor number is the GCF number.
So the greatest common factor 628,3865 is 1.
Lets's calculate LCM of 639,758
Given numbers has no common factors except 1. So, there LCM is their product i.e 484362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/484362
Therefore, the GCF of Fractions 628/639,3865/758 is 1/484362
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 639,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,758) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(639,758) x common factors =1 x 1 = 1
LCM(639,758) = ( 639 × 758 ) / 1
LCM(639,758) = 484362 / 1
LCM(639,758) = 484362
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 628/639, 3865/758?
Answer: GCF of Numerators as per given numbers 628/639, 3865/758 is
GCF of Numerators i.e. for 628,3865 is 1
LCM of denominators i.e. for 639,758 is 484362.
Thus, GCF of Fractions is 1/484362.Finally, GCF of Fractions for 628/639, 3865/758 is 1/484362.