Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 631/656,258/766,143/355
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 631,258,143
Greatest Common Factor of Numerators i.e. GCF of 631,258,143 is 1 .
LCM of Denominators means LCM of 656,766,355 as per the given fractions.
LCM of 656,766,355 is 89193040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 631,258,143
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1,631
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Greatest Common Factor
We found the factors 631,258,143 . The biggest common factor number is the GCF number.
So the greatest common factor 631,258,143 is 1.
Lets's calculate LCM of 656,766,355
2 | 656, 766, 355 |
328, 383, 355 |
∴ So the LCM of the given numbers is 2 x 328 x 383 x 355 = 89193040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89193040
Therefore, the GCF of Fractions 631/656,258/766,143/355 is 1/89193040
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 656,766,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,766,355) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(656,766,355) x common factors =1 x 2 = 2
LCM(656,766,355) = ( 656 × 766 × 355 ) / 2
LCM(656,766,355) = 178386080 / 2
LCM(656,766,355) = 89193040
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 631/656, 258/766, 143/355?
Answer: GCF of Numerators as per given numbers 631/656, 258/766, 143/355 is
GCF of Numerators i.e. for 631,258,143 is 1
LCM of denominators i.e. for 656,766,355 is 89193040.
Thus, GCF of Fractions is 1/89193040.Finally, GCF of Fractions for 631/656, 258/766, 143/355 is 1/89193040.