Online GCD Calculator is useful to find the GCD of 598, 800, 77, 628 quickly. Get the easiest ways to solve the greatest common divisor of 598, 800, 77, 628 i.e 1 in different methods as follows.
Given Input numbers are 598, 800, 77, 628
In the factoring method, we have to find the divisors of all numbers
Divisors of 598 :
The positive integer divisors of 598 that completely divides 598 are.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 800 :
The positive integer divisors of 800 that completely divides 800 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 77 :
The positive integer divisors of 77 that completely divides 77 are.
1, 7, 11, 77
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
GCD of numbers is the greatest common divisor
So, the GCD (598, 800, 77, 628) = 1.
Given numbers are 598, 800, 77, 628
The list of prime factors of all numbers are
Prime factors of 598 are 2 x 13 x 23
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 77 are 7 x 11
Prime factors of 628 are 2 x 2 x 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 598, 800, 77, 628
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(598, 800) = 239200
GCD(598, 800) = ( 598 x 800 ) / 239200
= 598 / 800
= 598
Step2:
LCM(2, 77) = 154
GCD(2, 77) = ( 2 x 77 ) / 154
= 2 / 77
= 2
Step3:
LCM(1, 628) = 628
GCD(1, 628) = ( 1 x 628 ) / 628
= 1 / 628
= 1
So, Greatest Common Divisor of 598, 800, 77, 628 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 598, 800, 77, 628
The greatest common divisor of numbers 598, 800, 77, 628 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 598, 800, 77, 628 is 1.
1. What is the GCD of 598, 800, 77, 628?
GCD of given numbers 598, 800, 77, 628 is 1
2. How to calculate the greatest common divisor of 598, 800, 77, 628?
We can find the highest common divisor of 598, 800, 77, 628 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 598, 800, 77, 628 i.e 1.
3. How can I use the GCD of 598, 800, 77, 628Calculator?
Out the numbers 598, 800, 77, 628 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.