Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 818/679,5322/354
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 818,5322
Greatest Common Factor of Numerators i.e. GCF of 818,5322 is 2 .
LCM of Denominators means LCM of 679,354 as per the given fractions.
LCM of 679,354 is 240366 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 818,5322
2 | 818, 5322 |
409, 2661 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 5322
List of positive integer factors of 5322 that divides 5322 without a remainder.
1,2,3,6,887,1774,2661,5322
Greatest Common Factor
We found the factors 818,5322 . The biggest common factor number is the GCF number.
So the greatest common factor 818,5322 is 2.
Lets's calculate LCM of 679,354
Given numbers has no common factors except 1. So, there LCM is their product i.e 240366
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/240366
Therefore, the GCF of Fractions 818/679,5322/354 is 2/240366
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 679,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,354) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,354) x common factors =1 x 1 = 1
LCM(679,354) = ( 679 × 354 ) / 1
LCM(679,354) = 240366 / 1
LCM(679,354) = 240366
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 818/679, 5322/354?
Answer: GCF of Numerators as per given numbers 818/679, 5322/354 is
GCF of Numerators i.e. for 818,5322 is 2
LCM of denominators i.e. for 679,354 is 240366.
Thus, GCF of Fractions is 2/240366.Finally, GCF of Fractions for 818/679, 5322/354 is 2/240366.