GCD of 144, 149, 974, 682 Calculator

Given Input numbers are 144, 149, 974, 682

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

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 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (144, 149, 974, 682) = 1.

Given numbers are 144, 149, 974, 682

The list of prime factors of all numbers are

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

Prime factors of 149 are 149

Prime factors of 974 are 2 x 487

Prime factors of 682 are 2 x 11 x 31

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

Given numbers are 144, 149, 974, 682

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

Apply this formula for all numbers.

Step1:

LCM(144, 149) = 21456

GCD(144, 149) = ( 144 x 149 ) / 21456

= 144 / 149

= 144

Step2:

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

= 1 / 974

= 1

Step3:

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

= 1 / 682

= 1

So, Greatest Common Divisor of 144, 149, 974, 682 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 657, 254, 683
• GCD of 651, 736, 452, 607
• GCD of 184, 405, 290, 929
• GCD of 594, 606, 388, 189
• GCD of 334, 825, 202, 105

Given numbers are 144, 149, 974, 682
The greatest common divisor of numbers 144, 149, 974, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 149, 974, 682 is 1.

1. What is the GCD of 144, 149, 974, 682?

GCD of given numbers 144, 149, 974, 682 is 1

2. How to calculate the greatest common divisor of 144, 149, 974, 682?

We can find the highest common divisor of 144, 149, 974, 682 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 144, 149, 974, 682 i.e 1.

3. How can I use the GCD of 144, 149, 974, 682Calculator?

Out the numbers 144, 149, 974, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.