Online GCD Calculator is useful to find the GCD of 874, 268, 402, 689 quickly. Get the easiest ways to solve the greatest common divisor of 874, 268, 402, 689 i.e 1 in different methods as follows.
Given Input numbers are 874, 268, 402, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
GCD of numbers is the greatest common divisor
So, the GCD (874, 268, 402, 689) = 1.
Given numbers are 874, 268, 402, 689
The list of prime factors of all numbers are
Prime factors of 874 are 2 x 19 x 23
Prime factors of 268 are 2 x 2 x 67
Prime factors of 402 are 2 x 3 x 67
Prime factors of 689 are 13 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 874, 268, 402, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(874, 268) = 117116
GCD(874, 268) = ( 874 x 268 ) / 117116
= 874 / 268
= 874
Step2:
LCM(2, 402) = 402
GCD(2, 402) = ( 2 x 402 ) / 402
= 2 / 402
= 2
Step3:
LCM(2, 689) = 1378
GCD(2, 689) = ( 2 x 689 ) / 1378
= 2 / 689
= 2
So, Greatest Common Divisor of 874, 268, 402, 689 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 874, 268, 402, 689
The greatest common divisor of numbers 874, 268, 402, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 268, 402, 689 is 1.
1. What is the GCD of 874, 268, 402, 689?
GCD of given numbers 874, 268, 402, 689 is 1
2. How to calculate the greatest common divisor of 874, 268, 402, 689?
We can find the highest common divisor of 874, 268, 402, 689 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 874, 268, 402, 689 i.e 1.
3. How can I use the GCD of 874, 268, 402, 689Calculator?
Out the numbers 874, 268, 402, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.