Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 498/562,731/421,169/366
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 498,731,169
Greatest Common Factor of Numerators i.e. GCF of 498,731,169 is 1 .
LCM of Denominators means LCM of 562,421,366 as per the given fractions.
LCM of 562,421,366 is 43298166 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 498,731,169
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Factors of 169
List of positive integer factors of 169 that divides 169 without a remainder.
1,13,169
Greatest Common Factor
We found the factors 498,731,169 . The biggest common factor number is the GCF number.
So the greatest common factor 498,731,169 is 1.
Lets's calculate LCM of 562,421,366
2 | 562, 421, 366 |
281, 421, 183 |
∴ So the LCM of the given numbers is 2 x 281 x 421 x 183 = 43298166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43298166
Therefore, the GCF of Fractions 498/562,731/421,169/366 is 1/43298166
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 562,421,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,421,366) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(562,421,366) x common factors =1 x 2 = 2
LCM(562,421,366) = ( 562 × 421 × 366 ) / 2
LCM(562,421,366) = 86596332 / 2
LCM(562,421,366) = 43298166
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 498/562, 731/421, 169/366?
Answer: GCF of Numerators as per given numbers 498/562, 731/421, 169/366 is
GCF of Numerators i.e. for 498,731,169 is 1
LCM of denominators i.e. for 562,421,366 is 43298166.
Thus, GCF of Fractions is 1/43298166.Finally, GCF of Fractions for 498/562, 731/421, 169/366 is 1/43298166.