Use our free GCF of Fractions Calculator tool to compute the GCF of 77/22, 522/53, 920/212 i.e 1/2332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/22, 522/53, 920/212.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/22,522/53,920/212
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 77/22,522/53,920/212, numerators are 77,522,920
Denominators are 22,53,212
The GCF of 77,522,920 is 1 .
LCM of 22,53,212 is 2332.
The greatest common factor of 77/22,522/53,920/212 = [GCF of 77,522,920]/[LCM of 22,53,212]= 1/2332
Therefore, the GCF of 77/22,522/53,920/212 is 1/2332.
To find the highest common factor of 77,522,920, we have to find the factors of both numbers and list the highest common factor.
The factors of 77 are 1, 7, 11, 77
The factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
The HCF of 77,522,920 is 1.
Lets's calculate GCF of 77,522,920
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 77
:1,7,11,77
Now, list down the factors of 522
:1,2,3,6,9,18,29,58,87,174,261,522
Now, list down the factors of 920
:1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Greatest Common Factor
We found the factors 77,522,920 . The biggest common factor number is the GCF number.
So the greatest common factor 77,522,920 is 1.
Lets's calculate LCM of 22,53,212
2 | 22, 53, 212 |
53 | 11, 53, 106 |
11, 1, 2 |
∴ So the LCM of the given numbers is 2 x 53 x 11 x 1 x 2 = 2332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2332
Therefore, the GCF of Fractions 77/22,522/53,920/212 is 1/2332
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 22,53,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,53,212) = 1
common factors(in case of two or more numbers have common factors) = 106
GCF(22,53,212) x common factors =1 x 106 = 106
LCM(22,53,212) = ( 22 × 53 × 212 ) / 106
LCM(22,53,212) = 247192 / 106
LCM(22,53,212) = 2332
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 77,522,920?
The HCF of 77,522,920 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 77/22, 522/53, 920/212?
Answer: GCF of Numerators as per given numbers 77/22, 522/53, 920/212 is
GCF of Numerators i.e. for 77,522,920 is 1
LCM of denominators i.e. for 22,53,212 is 2332.
Thus, GCF of Fractions is 1/2332.Finally, GCF of Fractions for 77/22, 522/53, 920/212 is 1/2332.