Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 509/87,691/11,352/557
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 509,691,352
Greatest Common Factor of Numerators i.e. GCF of 509,691,352 is 1 .
LCM of Denominators means LCM of 87,11,557 as per the given fractions.
LCM of 87,11,557 is 533049 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 509,691,352
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Factors of 691
List of positive integer factors of 691 that divides 691 without a remainder.
1,691
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 509,691,352 . The biggest common factor number is the GCF number.
So the greatest common factor 509,691,352 is 1.
Lets's calculate LCM of 87,11,557
Given numbers has no common factors except 1. So, there LCM is their product i.e 533049
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/533049
Therefore, the GCF of Fractions 509/87,691/11,352/557 is 1/533049
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 87,11,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,11,557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,11,557) x common factors =1 x 1 = 1
LCM(87,11,557) = ( 87 × 11 × 557 ) / 1
LCM(87,11,557) = 533049 / 1
LCM(87,11,557) = 533049
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 509/87, 691/11, 352/557?
Answer: GCF of Numerators as per given numbers 509/87, 691/11, 352/557 is
GCF of Numerators i.e. for 509,691,352 is 1
LCM of denominators i.e. for 87,11,557 is 533049.
Thus, GCF of Fractions is 1/533049.Finally, GCF of Fractions for 509/87, 691/11, 352/557 is 1/533049.