Use our free GCF of Fractions Calculator tool to compute the GCF of 69/939, 231/179, 890/503 i.e 1/84544743 easily. The following is the detailed procedure to determine the greatest common factor of fractions 69/939, 231/179, 890/503.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/939,231/179,890/503
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 69/939,231/179,890/503, numerators are 69,231,890
Denominators are 939,179,503
The GCF of 69,231,890 is 1 .
LCM of 939,179,503 is 84544743.
The greatest common factor of 69/939,231/179,890/503 = [GCF of 69,231,890]/[LCM of 939,179,503]= 1/84544743
Therefore, the GCF of 69/939,231/179,890/503 is 1/84544743.
To find the highest common factor of 69,231,890, we have to find the factors of both numbers and list the highest common factor.
The factors of 69 are 1, 3, 23, 69
The factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231
The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890
The HCF of 69,231,890 is 1.
Lets's calculate GCF of 69,231,890
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 69
:1,3,23,69
Now, list down the factors of 231
:1,3,7,11,21,33,77,231
Now, list down the factors of 890
:1,2,5,10,89,178,445,890
Greatest Common Factor
We found the factors 69,231,890 . The biggest common factor number is the GCF number.
So the greatest common factor 69,231,890 is 1.
Lets's calculate LCM of 939,179,503
Given numbers has no common factors except 1. So, there LCM is their product i.e 84544743
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84544743
Therefore, the GCF of Fractions 69/939,231/179,890/503 is 1/84544743
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 939,179,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,179,503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(939,179,503) x common factors =1 x 1 = 1
LCM(939,179,503) = ( 939 × 179 × 503 ) / 1
LCM(939,179,503) = 84544743 / 1
LCM(939,179,503) = 84544743
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 69,231,890?
The HCF of 69,231,890 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 69/939, 231/179, 890/503?
Answer: GCF of Numerators as per given numbers 69/939, 231/179, 890/503 is
GCF of Numerators i.e. for 69,231,890 is 1
LCM of denominators i.e. for 939,179,503 is 84544743.
Thus, GCF of Fractions is 1/84544743.Finally, GCF of Fractions for 69/939, 231/179, 890/503 is 1/84544743.