Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/856,688/821,419/515
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 80,688,419
Greatest Common Factor of Numerators i.e. GCF of 80,688,419 is 1 .
LCM of Denominators means LCM of 856,821,515 as per the given fractions.
LCM of 856,821,515 is 361929640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,688,419
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Greatest Common Factor
We found the factors 80,688,419 . The biggest common factor number is the GCF number.
So the greatest common factor 80,688,419 is 1.
Lets's calculate LCM of 856,821,515
Given numbers has no common factors except 1. So, there LCM is their product i.e 361929640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/361929640
Therefore, the GCF of Fractions 80/856,688/821,419/515 is 1/361929640
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 856,821,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,821,515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(856,821,515) x common factors =1 x 1 = 1
LCM(856,821,515) = ( 856 × 821 × 515 ) / 1
LCM(856,821,515) = 361929640 / 1
LCM(856,821,515) = 361929640
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 80/856, 688/821, 419/515?
Answer: GCF of Numerators as per given numbers 80/856, 688/821, 419/515 is
GCF of Numerators i.e. for 80,688,419 is 1
LCM of denominators i.e. for 856,821,515 is 361929640.
Thus, GCF of Fractions is 1/361929640.Finally, GCF of Fractions for 80/856, 688/821, 419/515 is 1/361929640.