Use our free GCF of Fractions Calculator tool to compute the GCF of 20/65, 63/853, 382/416 i.e 1/1774240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/65, 63/853, 382/416.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/65,63/853,382/416
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 20/65,63/853,382/416, numerators are 20,63,382
Denominators are 65,853,416
The GCF of 20,63,382 is 1 .
LCM of 65,853,416 is 1774240.
The greatest common factor of 20/65,63/853,382/416 = [GCF of 20,63,382]/[LCM of 65,853,416]= 1/1774240
Therefore, the GCF of 20/65,63/853,382/416 is 1/1774240.
To find the highest common factor of 20,63,382, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 382 are 1, 2, 191, 382
The HCF of 20,63,382 is 1.
Lets's calculate GCF of 20,63,382
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 382
:1,2,191,382
Greatest Common Factor
We found the factors 20,63,382 . The biggest common factor number is the GCF number.
So the greatest common factor 20,63,382 is 1.
Lets's calculate LCM of 65,853,416
13 | 65, 853, 416 |
5, 853, 32 |
∴ So the LCM of the given numbers is 13 x 5 x 853 x 32 = 1774240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1774240
Therefore, the GCF of Fractions 20/65,63/853,382/416 is 1/1774240
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 65,853,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,853,416) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(65,853,416) x common factors =1 x 13 = 13
LCM(65,853,416) = ( 65 × 853 × 416 ) / 13
LCM(65,853,416) = 23065120 / 13
LCM(65,853,416) = 1774240
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 20,63,382?
The HCF of 20,63,382 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 20/65, 63/853, 382/416?
Answer: GCF of Numerators as per given numbers 20/65, 63/853, 382/416 is
GCF of Numerators i.e. for 20,63,382 is 1
LCM of denominators i.e. for 65,853,416 is 1774240.
Thus, GCF of Fractions is 1/1774240.Finally, GCF of Fractions for 20/65, 63/853, 382/416 is 1/1774240.