GCD of 872, 412, 969, 698 Calculator

Given Input numbers are 872, 412, 969, 698

In the factoring method, we have to find the divisors of all numbers

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (872, 412, 969, 698) = 1.

Given numbers are 872, 412, 969, 698

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 412 are 2 x 2 x 103

Prime factors of 969 are 3 x 17 x 19

Prime factors of 698 are 2 x 349

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 872, 412, 969, 698

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(872, 412) = 89816

GCD(872, 412) = ( 872 x 412 ) / 89816

= 872 / 412

= 872

Step2:

LCM(4, 969) = 3876

GCD(4, 969) = ( 4 x 969 ) / 3876

= 4 / 969

= 4

Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

So, Greatest Common Divisor of 872, 412, 969, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 224, 579, 678
• GCD of 276, 989, 762, 863
• GCD of 927, 853, 621, 141
• GCD of 302, 491, 332, 812
• GCD of 256, 137, 419, 364

Given numbers are 872, 412, 969, 698
The greatest common divisor of numbers 872, 412, 969, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 412, 969, 698 is 1.

1. What is the GCD of 872, 412, 969, 698?

GCD of given numbers 872, 412, 969, 698 is 1

2. How to calculate the greatest common divisor of 872, 412, 969, 698?

We can find the highest common divisor of 872, 412, 969, 698 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 872, 412, 969, 698 i.e 1.

3. How can I use the GCD of 872, 412, 969, 698Calculator?

Out the numbers 872, 412, 969, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.