Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 476/629,554/289,674/470
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 476,554,674
Greatest Common Factor of Numerators i.e. GCF of 476,554,674 is 2 .
LCM of Denominators means LCM of 629,289,470 as per the given fractions.
LCM of 629,289,470 is 5025710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 476,554,674
2 | 476, 554, 674 |
238, 277, 337 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Greatest Common Factor
We found the factors 476,554,674 . The biggest common factor number is the GCF number.
So the greatest common factor 476,554,674 is 2.
Lets's calculate LCM of 629,289,470
17 | 629, 289, 470 |
37, 17, 470 |
∴ So the LCM of the given numbers is 17 x 37 x 17 x 470 = 5025710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5025710
Therefore, the GCF of Fractions 476/629,554/289,674/470 is 2/5025710
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 629,289,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,289,470) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(629,289,470) x common factors =1 x 17 = 17
LCM(629,289,470) = ( 629 × 289 × 470 ) / 17
LCM(629,289,470) = 85437070 / 17
LCM(629,289,470) = 5025710
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 476/629, 554/289, 674/470?
Answer: GCF of Numerators as per given numbers 476/629, 554/289, 674/470 is
GCF of Numerators i.e. for 476,554,674 is 2
LCM of denominators i.e. for 629,289,470 is 5025710.
Thus, GCF of Fractions is 2/5025710.Finally, GCF of Fractions for 476/629, 554/289, 674/470 is 2/5025710.