Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 663/93,826/7075
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 663,826
Greatest Common Factor of Numerators i.e. GCF of 663,826 is 1 .
LCM of Denominators means LCM of 93,7075 as per the given fractions.
LCM of 93,7075 is 657975 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 663,826
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 663,826 . The biggest common factor number is the GCF number.
So the greatest common factor 663,826 is 1.
Lets's calculate LCM of 93,7075
Given numbers has no common factors except 1. So, there LCM is their product i.e 657975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/657975
Therefore, the GCF of Fractions 663/93,826/7075 is 1/657975
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 93,7075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,7075) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,7075) x common factors =1 x 1 = 1
LCM(93,7075) = ( 93 × 7075 ) / 1
LCM(93,7075) = 657975 / 1
LCM(93,7075) = 657975
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 663/93, 826/7075?
Answer: GCF of Numerators as per given numbers 663/93, 826/7075 is
GCF of Numerators i.e. for 663,826 is 1
LCM of denominators i.e. for 93,7075 is 657975.
Thus, GCF of Fractions is 1/657975.Finally, GCF of Fractions for 663/93, 826/7075 is 1/657975.