Use our free GCF of Fractions Calculator tool to compute the GCF of 39/900, 519/281, 719/391 i.e 1/98883900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/900, 519/281, 719/391.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 39/900,519/281,719/391
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 39/900,519/281,719/391, numerators are 39,519,719
Denominators are 900,281,391
The GCF of 39,519,719 is 1 .
LCM of 900,281,391 is 98883900.
The greatest common factor of 39/900,519/281,719/391 = [GCF of 39,519,719]/[LCM of 900,281,391]= 1/98883900
Therefore, the GCF of 39/900,519/281,719/391 is 1/98883900.
To find the highest common factor of 39,519,719, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 519 are 1, 3, 173, 519
The factors of 719 are 1, 719
The HCF of 39,519,719 is 1.
Lets's calculate GCF of 39,519,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 519
:1,3,173,519
Now, list down the factors of 719
:1,719
Greatest Common Factor
We found the factors 39,519,719 . The biggest common factor number is the GCF number.
So the greatest common factor 39,519,719 is 1.
Lets's calculate LCM of 900,281,391
Given numbers has no common factors except 1. So, there LCM is their product i.e 98883900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98883900
Therefore, the GCF of Fractions 39/900,519/281,719/391 is 1/98883900
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 900,281,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,281,391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(900,281,391) x common factors =1 x 1 = 1
LCM(900,281,391) = ( 900 × 281 × 391 ) / 1
LCM(900,281,391) = 98883900 / 1
LCM(900,281,391) = 98883900
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 39,519,719?
The HCF of 39,519,719 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 39/900, 519/281, 719/391?
Answer: GCF of Numerators as per given numbers 39/900, 519/281, 719/391 is
GCF of Numerators i.e. for 39,519,719 is 1
LCM of denominators i.e. for 900,281,391 is 98883900.
Thus, GCF of Fractions is 1/98883900.Finally, GCF of Fractions for 39/900, 519/281, 719/391 is 1/98883900.