Online GCD Calculator is useful to find the GCD of 488, 964, 754, 536 quickly. Get the easiest ways to solve the greatest common divisor of 488, 964, 754, 536 i.e 2 in different methods as follows.
Given Input numbers are 488, 964, 754, 536
In the factoring method, we have to find the divisors of all numbers
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
Divisors of 754 :
The positive integer divisors of 754 that completely divides 754 are.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
GCD of numbers is the greatest common divisor
So, the GCD (488, 964, 754, 536) = 2.
Given numbers are 488, 964, 754, 536
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 964 are 2 x 2 x 241
Prime factors of 754 are 2 x 13 x 29
Prime factors of 536 are 2 x 2 x 2 x 67
The highest common occurrence is 21
Therefore, GCD of 488, 964, 754, 536 is 2.
Given numbers are 488, 964, 754, 536
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 964) = 117608
GCD(488, 964) = ( 488 x 964 ) / 117608
= 488 / 964
= 488
Step2:
LCM(4, 754) = 1508
GCD(4, 754) = ( 4 x 754 ) / 1508
= 4 / 754
= 4
Step3:
LCM(2, 536) = 536
GCD(2, 536) = ( 2 x 536 ) / 536
= 2 / 536
= 2
So, Greatest Common Divisor of 488, 964, 754, 536 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 964, 754, 536
The greatest common divisor of numbers 488, 964, 754, 536 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 964, 754, 536 is 2.
1. What is the GCD of 488, 964, 754, 536?
GCD of given numbers 488, 964, 754, 536 is 2
2. How to calculate the greatest common divisor of 488, 964, 754, 536?
We can find the highest common divisor of 488, 964, 754, 536 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 488, 964, 754, 536 i.e 2.
3. How can I use the GCD of 488, 964, 754, 536Calculator?
Out the numbers 488, 964, 754, 536 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.