Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 606/999,800/434,752/757
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 606,800,752
Greatest Common Factor of Numerators i.e. GCF of 606,800,752 is 2 .
LCM of Denominators means LCM of 999,434,757 as per the given fractions.
LCM of 999,434,757 is 328209462 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 606,800,752
2 | 606, 800, 752 |
303, 400, 376 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 606,800,752 . The biggest common factor number is the GCF number.
So the greatest common factor 606,800,752 is 2.
Lets's calculate LCM of 999,434,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 328209462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/328209462
Therefore, the GCF of Fractions 606/999,800/434,752/757 is 2/328209462
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 999,434,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,434,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(999,434,757) x common factors =1 x 1 = 1
LCM(999,434,757) = ( 999 × 434 × 757 ) / 1
LCM(999,434,757) = 328209462 / 1
LCM(999,434,757) = 328209462
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 606/999, 800/434, 752/757?
Answer: GCF of Numerators as per given numbers 606/999, 800/434, 752/757 is
GCF of Numerators i.e. for 606,800,752 is 2
LCM of denominators i.e. for 999,434,757 is 328209462.
Thus, GCF of Fractions is 2/328209462.Finally, GCF of Fractions for 606/999, 800/434, 752/757 is 2/328209462.