Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 570/832,266/773,173/816
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 570,266,173
Greatest Common Factor of Numerators i.e. GCF of 570,266,173 is 1 .
LCM of Denominators means LCM of 832,773,816 as per the given fractions.
LCM of 832,773,816 is 32799936 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 570,266,173
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Greatest Common Factor
We found the factors 570,266,173 . The biggest common factor number is the GCF number.
So the greatest common factor 570,266,173 is 1.
Lets's calculate LCM of 832,773,816
2 | 832, 773, 816 |
2 | 416, 773, 408 |
2 | 208, 773, 204 |
2 | 104, 773, 102 |
52, 773, 51 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 52 x 773 x 51 = 32799936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32799936
Therefore, the GCF of Fractions 570/832,266/773,173/816 is 1/32799936
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 832,773,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,773,816) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(832,773,816) x common factors =1 x 16 = 16
LCM(832,773,816) = ( 832 × 773 × 816 ) / 16
LCM(832,773,816) = 524798976 / 16
LCM(832,773,816) = 32799936
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 570/832, 266/773, 173/816?
Answer: GCF of Numerators as per given numbers 570/832, 266/773, 173/816 is
GCF of Numerators i.e. for 570,266,173 is 1
LCM of denominators i.e. for 832,773,816 is 32799936.
Thus, GCF of Fractions is 1/32799936.Finally, GCF of Fractions for 570/832, 266/773, 173/816 is 1/32799936.