Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 277/279,205/406,931/568
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 277,205,931
Greatest Common Factor of Numerators i.e. GCF of 277,205,931 is 1 .
LCM of Denominators means LCM of 279,406,568 as per the given fractions.
LCM of 279,406,568 is 32169816 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 277,205,931
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 277
List of positive integer factors of 277 that divides 277 without a remainder.
1,277
Factors of 205
List of positive integer factors of 205 that divides 205 without a remainder.
1,5,41,205
Factors of 931
List of positive integer factors of 931 that divides 931 without a remainder.
1,7,19,49,133,931
Greatest Common Factor
We found the factors 277,205,931 . The biggest common factor number is the GCF number.
So the greatest common factor 277,205,931 is 1.
Lets's calculate LCM of 279,406,568
2 | 279, 406, 568 |
279, 203, 284 |
∴ So the LCM of the given numbers is 2 x 279 x 203 x 284 = 32169816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32169816
Therefore, the GCF of Fractions 277/279,205/406,931/568 is 1/32169816
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 279,406,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,406,568) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(279,406,568) x common factors =1 x 2 = 2
LCM(279,406,568) = ( 279 × 406 × 568 ) / 2
LCM(279,406,568) = 64339632 / 2
LCM(279,406,568) = 32169816
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 277/279, 205/406, 931/568?
Answer: GCF of Numerators as per given numbers 277/279, 205/406, 931/568 is
GCF of Numerators i.e. for 277,205,931 is 1
LCM of denominators i.e. for 279,406,568 is 32169816.
Thus, GCF of Fractions is 1/32169816.Finally, GCF of Fractions for 277/279, 205/406, 931/568 is 1/32169816.