Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 685/581,237/313,474/672
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 685,237,474
Greatest Common Factor of Numerators i.e. GCF of 685,237,474 is 1 .
LCM of Denominators means LCM of 581,313,672 as per the given fractions.
LCM of 581,313,672 is 17457888 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 685,237,474
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 685,237,474 . The biggest common factor number is the GCF number.
So the greatest common factor 685,237,474 is 1.
Lets's calculate LCM of 581,313,672
7 | 581, 313, 672 |
83, 313, 96 |
∴ So the LCM of the given numbers is 7 x 83 x 313 x 96 = 17457888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17457888
Therefore, the GCF of Fractions 685/581,237/313,474/672 is 1/17457888
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 581,313,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,313,672) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(581,313,672) x common factors =1 x 7 = 7
LCM(581,313,672) = ( 581 × 313 × 672 ) / 7
LCM(581,313,672) = 122205216 / 7
LCM(581,313,672) = 17457888
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 685/581, 237/313, 474/672?
Answer: GCF of Numerators as per given numbers 685/581, 237/313, 474/672 is
GCF of Numerators i.e. for 685,237,474 is 1
LCM of denominators i.e. for 581,313,672 is 17457888.
Thus, GCF of Fractions is 1/17457888.Finally, GCF of Fractions for 685/581, 237/313, 474/672 is 1/17457888.