Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/503,116/547,351/661
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 80,116,351
Greatest Common Factor of Numerators i.e. GCF of 80,116,351 is 1 .
LCM of Denominators means LCM of 503,547,661 as per the given fractions.
LCM of 503,547,661 is 181868201 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,116,351
∴ 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 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Greatest Common Factor
We found the factors 80,116,351 . The biggest common factor number is the GCF number.
So the greatest common factor 80,116,351 is 1.
Lets's calculate LCM of 503,547,661
Given numbers has no common factors except 1. So, there LCM is their product i.e 181868201
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181868201
Therefore, the GCF of Fractions 80/503,116/547,351/661 is 1/181868201
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 503,547,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(503,547,661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(503,547,661) x common factors =1 x 1 = 1
LCM(503,547,661) = ( 503 × 547 × 661 ) / 1
LCM(503,547,661) = 181868201 / 1
LCM(503,547,661) = 181868201
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 80/503, 116/547, 351/661?
Answer: GCF of Numerators as per given numbers 80/503, 116/547, 351/661 is
GCF of Numerators i.e. for 80,116,351 is 1
LCM of denominators i.e. for 503,547,661 is 181868201.
Thus, GCF of Fractions is 1/181868201.Finally, GCF of Fractions for 80/503, 116/547, 351/661 is 1/181868201.