Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 669/279,788/266,250/476
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 669,788,250
Greatest Common Factor of Numerators i.e. GCF of 669,788,250 is 1 .
LCM of Denominators means LCM of 279,266,476 as per the given fractions.
LCM of 279,266,476 is 2523276 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 669,788,250
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Factors of 788
List of positive integer factors of 788 that divides 788 without a remainder.
1,2,4,197,394,788
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Greatest Common Factor
We found the factors 669,788,250 . The biggest common factor number is the GCF number.
So the greatest common factor 669,788,250 is 1.
Lets's calculate LCM of 279,266,476
2 | 279, 266, 476 |
7 | 279, 133, 238 |
279, 19, 34 |
∴ So the LCM of the given numbers is 2 x 7 x 279 x 19 x 34 = 2523276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2523276
Therefore, the GCF of Fractions 669/279,788/266,250/476 is 1/2523276
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 279,266,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,266,476) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(279,266,476) x common factors =1 x 14 = 14
LCM(279,266,476) = ( 279 × 266 × 476 ) / 14
LCM(279,266,476) = 35325864 / 14
LCM(279,266,476) = 2523276
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 669/279, 788/266, 250/476?
Answer: GCF of Numerators as per given numbers 669/279, 788/266, 250/476 is
GCF of Numerators i.e. for 669,788,250 is 1
LCM of denominators i.e. for 279,266,476 is 2523276.
Thus, GCF of Fractions is 1/2523276.Finally, GCF of Fractions for 669/279, 788/266, 250/476 is 1/2523276.