Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 558/814,5314/744
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 558,5314
Greatest Common Factor of Numerators i.e. GCF of 558,5314 is 2 .
LCM of Denominators means LCM of 814,744 as per the given fractions.
LCM of 814,744 is 302808 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 558,5314
2 | 558, 5314 |
279, 2657 |
∴ So the GCF of the given numbers is 2 = 2
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 5314
List of positive integer factors of 5314 that divides 5314 without a remainder.
1,2,2657,5314
Greatest Common Factor
We found the factors 558,5314 . The biggest common factor number is the GCF number.
So the greatest common factor 558,5314 is 2.
Lets's calculate LCM of 814,744
2 | 814, 744 |
407, 372 |
∴ So the LCM of the given numbers is 2 x 407 x 372 = 302808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/302808
Therefore, the GCF of Fractions 558/814,5314/744 is 2/302808
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 814,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,744) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,744) x common factors =2 x 1 = 2
LCM(814,744) = ( 814 × 744 ) / 2
LCM(814,744) = 605616 / 2
LCM(814,744) = 302808
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 558/814, 5314/744?
Answer: GCF of Numerators as per given numbers 558/814, 5314/744 is
GCF of Numerators i.e. for 558,5314 is 2
LCM of denominators i.e. for 814,744 is 302808.
Thus, GCF of Fractions is 2/302808.Finally, GCF of Fractions for 558/814, 5314/744 is 2/302808.