Use our free GCF of Fractions Calculator tool to compute the GCF of 83/117, 539/391, 630/214 i.e 1/9789858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 83/117, 539/391, 630/214.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/117,539/391,630/214
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 83/117,539/391,630/214, numerators are 83,539,630
Denominators are 117,391,214
The GCF of 83,539,630 is 1 .
LCM of 117,391,214 is 9789858.
The greatest common factor of 83/117,539/391,630/214 = [GCF of 83,539,630]/[LCM of 117,391,214]= 1/9789858
Therefore, the GCF of 83/117,539/391,630/214 is 1/9789858.
To find the highest common factor of 83,539,630, we have to find the factors of both numbers and list the highest common factor.
The factors of 83 are 1, 83
The factors of 539 are 1, 7, 11, 49, 77, 539
The factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
The HCF of 83,539,630 is 1.
Lets's calculate GCF of 83,539,630
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 83
:1,83
Now, list down the factors of 539
:1,7,11,49,77,539
Now, list down the factors of 630
:1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 83,539,630 . The biggest common factor number is the GCF number.
So the greatest common factor 83,539,630 is 1.
Lets's calculate LCM of 117,391,214
Given numbers has no common factors except 1. So, there LCM is their product i.e 9789858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9789858
Therefore, the GCF of Fractions 83/117,539/391,630/214 is 1/9789858
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 117,391,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,391,214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(117,391,214) x common factors =1 x 1 = 1
LCM(117,391,214) = ( 117 × 391 × 214 ) / 1
LCM(117,391,214) = 9789858 / 1
LCM(117,391,214) = 9789858
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 83,539,630?
The HCF of 83,539,630 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 83/117, 539/391, 630/214?
Answer: GCF of Numerators as per given numbers 83/117, 539/391, 630/214 is
GCF of Numerators i.e. for 83,539,630 is 1
LCM of denominators i.e. for 117,391,214 is 9789858.
Thus, GCF of Fractions is 1/9789858.Finally, GCF of Fractions for 83/117, 539/391, 630/214 is 1/9789858.