Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 759/2550,828/9914
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 759,828
Greatest Common Factor of Numerators i.e. GCF of 759,828 is 69 .
LCM of Denominators means LCM of 2550,9914 as per the given fractions.
LCM of 2550,9914 is 12640350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 759,828
3 | 759, 828 |
23 | 253, 276 |
11, 12 |
∴ So the GCF of the given numbers is 3 x 23 = 69
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 759,828 . The biggest common factor number is the GCF number.
So the greatest common factor 759,828 is 69.
Lets's calculate LCM of 2550,9914
2 | 2550, 9914 |
1275, 4957 |
∴ So the LCM of the given numbers is 2 x 1275 x 4957 = 12640350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 69/12640350
Therefore, the GCF of Fractions 759/2550,828/9914 is 69/12640350
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 2550,9914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2550,9914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2550,9914) x common factors =2 x 1 = 2
LCM(2550,9914) = ( 2550 × 9914 ) / 2
LCM(2550,9914) = 25280700 / 2
LCM(2550,9914) = 12640350
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 759/2550, 828/9914?
Answer: GCF of Numerators as per given numbers 759/2550, 828/9914 is
GCF of Numerators i.e. for 759,828 is 69
LCM of denominators i.e. for 2550,9914 is 12640350.
Thus, GCF of Fractions is 69/12640350.Finally, GCF of Fractions for 759/2550, 828/9914 is 69/12640350.