GCD of 374, 144, 143, 692 Calculator

Given Input numbers are 374, 144, 143, 692

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

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

Divisors of 692 :

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

1, 2, 4, 173, 346, 692

GCD of numbers is the greatest common divisor

So, the GCD (374, 144, 143, 692) = 1.

Given numbers are 374, 144, 143, 692

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 143 are 11 x 13

Prime factors of 692 are 2 x 2 x 173

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

Given numbers are 374, 144, 143, 692

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

Apply this formula for all numbers.

Step1:

LCM(374, 144) = 26928

GCD(374, 144) = ( 374 x 144 ) / 26928

= 374 / 144

= 374

Step2:

LCM(2, 143) = 286

GCD(2, 143) = ( 2 x 143 ) / 286

= 2 / 143

= 2

Step3:

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

= 1 / 692

= 1

So, Greatest Common Divisor of 374, 144, 143, 692 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 618, 754, 708
• GCD of 573, 687, 307, 857
• GCD of 281, 128, 443, 893
• GCD of 347, 668, 991, 754
• GCD of 403, 327, 739, 623

Given numbers are 374, 144, 143, 692
The greatest common divisor of numbers 374, 144, 143, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 144, 143, 692 is 1.

1. What is the GCD of 374, 144, 143, 692?

GCD of given numbers 374, 144, 143, 692 is 1

2. How to calculate the greatest common divisor of 374, 144, 143, 692?

We can find the highest common divisor of 374, 144, 143, 692 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 374, 144, 143, 692 i.e 1.

3. How can I use the GCD of 374, 144, 143, 692Calculator?

Out the numbers 374, 144, 143, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.