Online GCD Calculator is useful to find the GCD of 128, 580, 692, 748 quickly. Get the easiest ways to solve the greatest common divisor of 128, 580, 692, 748 i.e 4 in different methods as follows.
Given Input numbers are 128, 580, 692, 748
In the factoring method, we have to find the divisors of all numbers
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
GCD of numbers is the greatest common divisor
So, the GCD (128, 580, 692, 748) = 4.
Given numbers are 128, 580, 692, 748
The list of prime factors of all numbers are
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 692 are 2 x 2 x 173
Prime factors of 748 are 2 x 2 x 11 x 17
The highest common occurrence is 22
Therefore, GCD of 128, 580, 692, 748 is 4.
Given numbers are 128, 580, 692, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(128, 580) = 18560
GCD(128, 580) = ( 128 x 580 ) / 18560
= 128 / 580
= 128
Step2:
LCM(4, 692) = 692
GCD(4, 692) = ( 4 x 692 ) / 692
= 4 / 692
= 4
Step3:
LCM(4, 748) = 748
GCD(4, 748) = ( 4 x 748 ) / 748
= 4 / 748
= 4
So, Greatest Common Divisor of 128, 580, 692, 748 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 128, 580, 692, 748
The greatest common divisor of numbers 128, 580, 692, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 128, 580, 692, 748 is 4.
1. What is the GCD of 128, 580, 692, 748?
GCD of given numbers 128, 580, 692, 748 is 4
2. How to calculate the greatest common divisor of 128, 580, 692, 748?
We can find the highest common divisor of 128, 580, 692, 748 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 128, 580, 692, 748 i.e 4.
3. How can I use the GCD of 128, 580, 692, 748Calculator?
Out the numbers 128, 580, 692, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.