Online GCD Calculator is useful to find the GCD of 428, 920, 617, 800 quickly. Get the easiest ways to solve the greatest common divisor of 428, 920, 617, 800 i.e 1 in different methods as follows.
Given Input numbers are 428, 920, 617, 800
In the factoring method, we have to find the divisors of all numbers
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 617 :
The positive integer divisors of 617 that completely divides 617 are.
1, 617
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
GCD of numbers is the greatest common divisor
So, the GCD (428, 920, 617, 800) = 1.
Given numbers are 428, 920, 617, 800
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 617 are 617
Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 428, 920, 617, 800
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 920) = 98440
GCD(428, 920) = ( 428 x 920 ) / 98440
= 428 / 920
= 428
Step2:
LCM(4, 617) = 2468
GCD(4, 617) = ( 4 x 617 ) / 2468
= 4 / 617
= 4
Step3:
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
= 1 / 800
= 1
So, Greatest Common Divisor of 428, 920, 617, 800 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 920, 617, 800
The greatest common divisor of numbers 428, 920, 617, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 920, 617, 800 is 1.
1. What is the GCD of 428, 920, 617, 800?
GCD of given numbers 428, 920, 617, 800 is 1
2. How to calculate the greatest common divisor of 428, 920, 617, 800?
We can find the highest common divisor of 428, 920, 617, 800 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 428, 920, 617, 800 i.e 1.
3. How can I use the GCD of 428, 920, 617, 800Calculator?
Out the numbers 428, 920, 617, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.