Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8034/86,7077/851
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 8034,7077
Greatest Common Factor of Numerators i.e. GCF of 8034,7077 is 3 .
LCM of Denominators means LCM of 86,851 as per the given fractions.
LCM of 86,851 is 73186 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8034,7077
3 | 8034, 7077 |
2678, 2359 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8034
List of positive integer factors of 8034 that divides 8034 without a remainder.
1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034
Factors of 7077
List of positive integer factors of 7077 that divides 7077 without a remainder.
1,3,7,21,337,1011,2359,7077
Greatest Common Factor
We found the factors 8034,7077 . The biggest common factor number is the GCF number.
So the greatest common factor 8034,7077 is 3.
Lets's calculate LCM of 86,851
Given numbers has no common factors except 1. So, there LCM is their product i.e 73186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/73186
Therefore, the GCF of Fractions 8034/86,7077/851 is 3/73186
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 86,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(86,851) x common factors =1 x 1 = 1
LCM(86,851) = ( 86 × 851 ) / 1
LCM(86,851) = 73186 / 1
LCM(86,851) = 73186
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 8034/86, 7077/851?
Answer: GCF of Numerators as per given numbers 8034/86, 7077/851 is
GCF of Numerators i.e. for 8034,7077 is 3
LCM of denominators i.e. for 86,851 is 73186.
Thus, GCF of Fractions is 3/73186.Finally, GCF of Fractions for 8034/86, 7077/851 is 3/73186.