Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 558/87,515/42,769/422
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 558,515,769
Greatest Common Factor of Numerators i.e. GCF of 558,515,769 is 1 .
LCM of Denominators means LCM of 87,42,422 as per the given fractions.
LCM of 87,42,422 is 256998 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 558,515,769
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 558
List of positive integer factors of 558 that divides 558 without a remainder.
1,2,3,6,9,18,31,62,93,186,279,558
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Greatest Common Factor
We found the factors 558,515,769 . The biggest common factor number is the GCF number.
So the greatest common factor 558,515,769 is 1.
Lets's calculate LCM of 87,42,422
2 | 87, 42, 422 |
3 | 87, 21, 211 |
29, 7, 211 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 7 x 211 = 256998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/256998
Therefore, the GCF of Fractions 558/87,515/42,769/422 is 1/256998
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 87,42,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,42,422) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(87,42,422) x common factors =1 x 6 = 6
LCM(87,42,422) = ( 87 × 42 × 422 ) / 6
LCM(87,42,422) = 1541988 / 6
LCM(87,42,422) = 256998
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 558/87, 515/42, 769/422?
Answer: GCF of Numerators as per given numbers 558/87, 515/42, 769/422 is
GCF of Numerators i.e. for 558,515,769 is 1
LCM of denominators i.e. for 87,42,422 is 256998.
Thus, GCF of Fractions is 1/256998.Finally, GCF of Fractions for 558/87, 515/42, 769/422 is 1/256998.