Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 291/402,794/432,882/864
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 291,794,882
Greatest Common Factor of Numerators i.e. GCF of 291,794,882 is 1 .
LCM of Denominators means LCM of 402,432,864 as per the given fractions.
LCM of 402,432,864 is 57888 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 291,794,882
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1,3,97,291
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors 291,794,882 . The biggest common factor number is the GCF number.
So the greatest common factor 291,794,882 is 1.
Lets's calculate LCM of 402,432,864
2 | 402, 432, 864 |
2 | 201, 216, 432 |
2 | 201, 108, 216 |
2 | 201, 54, 108 |
3 | 201, 27, 54 |
3 | 67, 9, 18 |
3 | 67, 3, 6 |
67, 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 3 x 67 x 1 x 2 = 57888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57888
Therefore, the GCF of Fractions 291/402,794/432,882/864 is 1/57888
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 402,432,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,432,864) = 6
common factors(in case of two or more numbers have common factors) = 432
GCF(402,432,864) x common factors =6 x 432 = 2592
LCM(402,432,864) = ( 402 × 432 × 864 ) / 2592
LCM(402,432,864) = 150045696 / 2592
LCM(402,432,864) = 57888
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 291/402, 794/432, 882/864?
Answer: GCF of Numerators as per given numbers 291/402, 794/432, 882/864 is
GCF of Numerators i.e. for 291,794,882 is 1
LCM of denominators i.e. for 402,432,864 is 57888.
Thus, GCF of Fractions is 1/57888.Finally, GCF of Fractions for 291/402, 794/432, 882/864 is 1/57888.