Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 516/476,692/360,786/605
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 516,692,786
Greatest Common Factor of Numerators i.e. GCF of 516,692,786 is 2 .
LCM of Denominators means LCM of 476,360,605 as per the given fractions.
LCM of 476,360,605 is 5183640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 516,692,786
2 | 516, 692, 786 |
258, 346, 393 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 516,692,786 . The biggest common factor number is the GCF number.
So the greatest common factor 516,692,786 is 2.
Lets's calculate LCM of 476,360,605
2 | 476, 360, 605 |
2 | 238, 180, 605 |
5 | 119, 90, 605 |
119, 18, 121 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 119 x 18 x 121 = 5183640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5183640
Therefore, the GCF of Fractions 516/476,692/360,786/605 is 2/5183640
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 476,360,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,360,605) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(476,360,605) x common factors =1 x 20 = 20
LCM(476,360,605) = ( 476 × 360 × 605 ) / 20
LCM(476,360,605) = 103672800 / 20
LCM(476,360,605) = 5183640
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 516/476, 692/360, 786/605?
Answer: GCF of Numerators as per given numbers 516/476, 692/360, 786/605 is
GCF of Numerators i.e. for 516,692,786 is 2
LCM of denominators i.e. for 476,360,605 is 5183640.
Thus, GCF of Fractions is 2/5183640.Finally, GCF of Fractions for 516/476, 692/360, 786/605 is 2/5183640.