Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 676/71,665/8024
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 676,665
Greatest Common Factor of Numerators i.e. GCF of 676,665 is 1 .
LCM of Denominators means LCM of 71,8024 as per the given fractions.
LCM of 71,8024 is 569704 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 676,665
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Greatest Common Factor
We found the factors 676,665 . The biggest common factor number is the GCF number.
So the greatest common factor 676,665 is 1.
Lets's calculate LCM of 71,8024
Given numbers has no common factors except 1. So, there LCM is their product i.e 569704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/569704
Therefore, the GCF of Fractions 676/71,665/8024 is 1/569704
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 71,8024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,8024) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,8024) x common factors =1 x 1 = 1
LCM(71,8024) = ( 71 × 8024 ) / 1
LCM(71,8024) = 569704 / 1
LCM(71,8024) = 569704
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 676/71, 665/8024?
Answer: GCF of Numerators as per given numbers 676/71, 665/8024 is
GCF of Numerators i.e. for 676,665 is 1
LCM of denominators i.e. for 71,8024 is 569704.
Thus, GCF of Fractions is 1/569704.Finally, GCF of Fractions for 676/71, 665/8024 is 1/569704.