Online GCD Calculator is useful to find the GCD of 498, 644, 767, 264 quickly. Get the easiest ways to solve the greatest common divisor of 498, 644, 767, 264 i.e 1 in different methods as follows.
Given Input numbers are 498, 644, 767, 264
In the factoring method, we have to find the divisors of all numbers
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 767 :
The positive integer divisors of 767 that completely divides 767 are.
1, 13, 59, 767
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
GCD of numbers is the greatest common divisor
So, the GCD (498, 644, 767, 264) = 1.
Given numbers are 498, 644, 767, 264
The list of prime factors of all numbers are
Prime factors of 498 are 2 x 3 x 83
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 767 are 13 x 59
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 498, 644, 767, 264
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(498, 644) = 160356
GCD(498, 644) = ( 498 x 644 ) / 160356
= 498 / 644
= 498
Step2:
LCM(2, 767) = 1534
GCD(2, 767) = ( 2 x 767 ) / 1534
= 2 / 767
= 2
Step3:
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
= 1 / 264
= 1
So, Greatest Common Divisor of 498, 644, 767, 264 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 498, 644, 767, 264
The greatest common divisor of numbers 498, 644, 767, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 644, 767, 264 is 1.
1. What is the GCD of 498, 644, 767, 264?
GCD of given numbers 498, 644, 767, 264 is 1
2. How to calculate the greatest common divisor of 498, 644, 767, 264?
We can find the highest common divisor of 498, 644, 767, 264 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 498, 644, 767, 264 i.e 1.
3. How can I use the GCD of 498, 644, 767, 264Calculator?
Out the numbers 498, 644, 767, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.