Online GCD Calculator is useful to find the GCD of 660, 198, 477, 762 quickly. Get the easiest ways to solve the greatest common divisor of 660, 198, 477, 762 i.e 3 in different methods as follows.
Given Input numbers are 660, 198, 477, 762
In the factoring method, we have to find the divisors of all numbers
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 198 :
The positive integer divisors of 198 that completely divides 198 are.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
GCD of numbers is the greatest common divisor
So, the GCD (660, 198, 477, 762) = 3.
Given numbers are 660, 198, 477, 762
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 198 are 2 x 3 x 3 x 11
Prime factors of 477 are 3 x 3 x 53
Prime factors of 762 are 2 x 3 x 127
The highest common occurrence is 31
Therefore, GCD of 660, 198, 477, 762 is 3.
Given numbers are 660, 198, 477, 762
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 198) = 1980
GCD(660, 198) = ( 660 x 198 ) / 1980
= 660 / 198
= 660
Step2:
LCM(66, 477) = 10494
GCD(66, 477) = ( 66 x 477 ) / 10494
= 66 / 477
= 66
Step3:
LCM(3, 762) = 762
GCD(3, 762) = ( 3 x 762 ) / 762
= 3 / 762
= 3
So, Greatest Common Divisor of 660, 198, 477, 762 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 198, 477, 762
The greatest common divisor of numbers 660, 198, 477, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 198, 477, 762 is 3.
1. What is the GCD of 660, 198, 477, 762?
GCD of given numbers 660, 198, 477, 762 is 3
2. How to calculate the greatest common divisor of 660, 198, 477, 762?
We can find the highest common divisor of 660, 198, 477, 762 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 660, 198, 477, 762 i.e 3.
3. How can I use the GCD of 660, 198, 477, 762Calculator?
Out the numbers 660, 198, 477, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.