Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/945,34/210,825/803
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 39,34,825
Greatest Common Factor of Numerators i.e. GCF of 39,34,825 is 1 .
LCM of Denominators means LCM of 945,210,803 as per the given fractions.
LCM of 945,210,803 is 1517670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 39,34,825
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 39,34,825 . The biggest common factor number is the GCF number.
So the greatest common factor 39,34,825 is 1.
Lets's calculate LCM of 945,210,803
3 | 945, 210, 803 |
5 | 315, 70, 803 |
7 | 63, 14, 803 |
9, 2, 803 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 9 x 2 x 803 = 1517670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1517670
Therefore, the GCF of Fractions 39/945,34/210,825/803 is 1/1517670
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 945,210,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,210,803) = 1
common factors(in case of two or more numbers have common factors) = 105
GCF(945,210,803) x common factors =1 x 105 = 105
LCM(945,210,803) = ( 945 × 210 × 803 ) / 105
LCM(945,210,803) = 159355350 / 105
LCM(945,210,803) = 1517670
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 39/945, 34/210, 825/803?
Answer: GCF of Numerators as per given numbers 39/945, 34/210, 825/803 is
GCF of Numerators i.e. for 39,34,825 is 1
LCM of denominators i.e. for 945,210,803 is 1517670.
Thus, GCF of Fractions is 1/1517670.Finally, GCF of Fractions for 39/945, 34/210, 825/803 is 1/1517670.