GCD of 149, 252, 180, 688 Calculator

Given Input numbers are 149, 252, 180, 688

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

Divisors of 149 :

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

1, 149

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (149, 252, 180, 688) = 1.

Given numbers are 149, 252, 180, 688

The list of prime factors of all numbers are

Prime factors of 149 are 149

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

Given numbers are 149, 252, 180, 688

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

Apply this formula for all numbers.

Step1:

LCM(149, 252) = 37548

GCD(149, 252) = ( 149 x 252 ) / 37548

= 149 / 252

= 149

Step2:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

Step3:

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

= 1 / 688

= 1

So, Greatest Common Divisor of 149, 252, 180, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 592, 856, 321
• GCD of 454, 760, 549, 681
• GCD of 389, 801, 190, 189
• GCD of 501, 703, 137, 498
• GCD of 621, 474, 796, 590

Given numbers are 149, 252, 180, 688
The greatest common divisor of numbers 149, 252, 180, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 149, 252, 180, 688 is 1.

1. What is the GCD of 149, 252, 180, 688?

GCD of given numbers 149, 252, 180, 688 is 1

2. How to calculate the greatest common divisor of 149, 252, 180, 688?

We can find the highest common divisor of 149, 252, 180, 688 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 149, 252, 180, 688 i.e 1.

3. How can I use the GCD of 149, 252, 180, 688Calculator?

Out the numbers 149, 252, 180, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.