Online GCD Calculator is useful to find the GCD of 840, 368, 689, 505 quickly. Get the easiest ways to solve the greatest common divisor of 840, 368, 689, 505 i.e 1 in different methods as follows.
Given Input numbers are 840, 368, 689, 505
In the factoring method, we have to find the divisors of all numbers
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 505 :
The positive integer divisors of 505 that completely divides 505 are.
1, 5, 101, 505
GCD of numbers is the greatest common divisor
So, the GCD (840, 368, 689, 505) = 1.
Given numbers are 840, 368, 689, 505
The list of prime factors of all numbers are
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 689 are 13 x 53
Prime factors of 505 are 5 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 840, 368, 689, 505
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(840, 368) = 38640
GCD(840, 368) = ( 840 x 368 ) / 38640
= 840 / 368
= 840
Step2:
LCM(8, 689) = 5512
GCD(8, 689) = ( 8 x 689 ) / 5512
= 8 / 689
= 8
Step3:
LCM(1, 505) = 505
GCD(1, 505) = ( 1 x 505 ) / 505
= 1 / 505
= 1
So, Greatest Common Divisor of 840, 368, 689, 505 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 840, 368, 689, 505
The greatest common divisor of numbers 840, 368, 689, 505 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 368, 689, 505 is 1.
1. What is the GCD of 840, 368, 689, 505?
GCD of given numbers 840, 368, 689, 505 is 1
2. How to calculate the greatest common divisor of 840, 368, 689, 505?
We can find the highest common divisor of 840, 368, 689, 505 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 840, 368, 689, 505 i.e 1.
3. How can I use the GCD of 840, 368, 689, 505Calculator?
Out the numbers 840, 368, 689, 505 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.