GCD of 145, 632, 689, 828 Calculator

Given Input numbers are 145, 632, 689, 828

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

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (145, 632, 689, 828) = 1.

Given numbers are 145, 632, 689, 828

The list of prime factors of all numbers are

Prime factors of 145 are 5 x 29

Prime factors of 632 are 2 x 2 x 2 x 79

Prime factors of 689 are 13 x 53

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 145, 632, 689, 828

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

Apply this formula for all numbers.

Step1:

LCM(145, 632) = 91640

GCD(145, 632) = ( 145 x 632 ) / 91640

= 145 / 632

= 145

Step2:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 145, 632, 689, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 358, 931, 520
• GCD of 379, 132, 425, 323
• GCD of 430, 961, 359, 435
• GCD of 552, 577, 295, 935
• GCD of 214, 821, 535, 172

Given numbers are 145, 632, 689, 828
The greatest common divisor of numbers 145, 632, 689, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 632, 689, 828 is 1.

1. What is the GCD of 145, 632, 689, 828?

GCD of given numbers 145, 632, 689, 828 is 1

2. How to calculate the greatest common divisor of 145, 632, 689, 828?

We can find the highest common divisor of 145, 632, 689, 828 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 145, 632, 689, 828 i.e 1.

3. How can I use the GCD of 145, 632, 689, 828Calculator?

Out the numbers 145, 632, 689, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.