GCD of 145, 692, 829, 938 Calculator

Given Input numbers are 145, 692, 829, 938

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 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

GCD of numbers is the greatest common divisor

So, the GCD (145, 692, 829, 938) = 1.

Given numbers are 145, 692, 829, 938

The list of prime factors of all numbers are

Prime factors of 145 are 5 x 29

Prime factors of 692 are 2 x 2 x 173

Prime factors of 829 are 829

Prime factors of 938 are 2 x 7 x 67

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

Given numbers are 145, 692, 829, 938

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

Apply this formula for all numbers.

Step1:

LCM(145, 692) = 100340

GCD(145, 692) = ( 145 x 692 ) / 100340

= 145 / 692

= 145

Step2:

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

= 1 / 829

= 1

Step3:

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

= 1 / 938

= 1

So, Greatest Common Divisor of 145, 692, 829, 938 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 935, 297, 148
• GCD of 499, 292, 369, 994
• GCD of 453, 824, 361, 745
• GCD of 244, 129, 227, 488
• GCD of 117, 861, 723, 563

Given numbers are 145, 692, 829, 938
The greatest common divisor of numbers 145, 692, 829, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 692, 829, 938 is 1.

1. What is the GCD of 145, 692, 829, 938?

GCD of given numbers 145, 692, 829, 938 is 1

2. How to calculate the greatest common divisor of 145, 692, 829, 938?

We can find the highest common divisor of 145, 692, 829, 938 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, 692, 829, 938 i.e 1.

3. How can I use the GCD of 145, 692, 829, 938Calculator?

Out the numbers 145, 692, 829, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.