Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 407/934,8143/785
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 407,8143
Greatest Common Factor of Numerators i.e. GCF of 407,8143 is 1 .
LCM of Denominators means LCM of 934,785 as per the given fractions.
LCM of 934,785 is 733190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 407,8143
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 407
List of positive integer factors of 407 that divides 407 without a remainder.
1,11,37,407
Factors of 8143
List of positive integer factors of 8143 that divides 8143 without a remainder.
1,17,479,8143
Greatest Common Factor
We found the factors 407,8143 . The biggest common factor number is the GCF number.
So the greatest common factor 407,8143 is 1.
Lets's calculate LCM of 934,785
Given numbers has no common factors except 1. So, there LCM is their product i.e 733190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/733190
Therefore, the GCF of Fractions 407/934,8143/785 is 1/733190
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 934,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(934,785) x common factors =1 x 1 = 1
LCM(934,785) = ( 934 × 785 ) / 1
LCM(934,785) = 733190 / 1
LCM(934,785) = 733190
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 407/934, 8143/785?
Answer: GCF of Numerators as per given numbers 407/934, 8143/785 is
GCF of Numerators i.e. for 407,8143 is 1
LCM of denominators i.e. for 934,785 is 733190.
Thus, GCF of Fractions is 1/733190.Finally, GCF of Fractions for 407/934, 8143/785 is 1/733190.