Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 683/88,524/79,313/470
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 683,524,313
Greatest Common Factor of Numerators i.e. GCF of 683,524,313 is 1 .
LCM of Denominators means LCM of 88,79,470 as per the given fractions.
LCM of 88,79,470 is 1633720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 683,524,313
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Greatest Common Factor
We found the factors 683,524,313 . The biggest common factor number is the GCF number.
So the greatest common factor 683,524,313 is 1.
Lets's calculate LCM of 88,79,470
2 | 88, 79, 470 |
44, 79, 235 |
∴ So the LCM of the given numbers is 2 x 44 x 79 x 235 = 1633720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1633720
Therefore, the GCF of Fractions 683/88,524/79,313/470 is 1/1633720
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 88,79,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,79,470) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(88,79,470) x common factors =1 x 2 = 2
LCM(88,79,470) = ( 88 × 79 × 470 ) / 2
LCM(88,79,470) = 3267440 / 2
LCM(88,79,470) = 1633720
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 683/88, 524/79, 313/470?
Answer: GCF of Numerators as per given numbers 683/88, 524/79, 313/470 is
GCF of Numerators i.e. for 683,524,313 is 1
LCM of denominators i.e. for 88,79,470 is 1633720.
Thus, GCF of Fractions is 1/1633720.Finally, GCF of Fractions for 683/88, 524/79, 313/470 is 1/1633720.