GCD of 149, 169, 382, 742 Calculator

Given Input numbers are 149, 169, 382, 742

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 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (149, 169, 382, 742) = 1.

Given numbers are 149, 169, 382, 742

The list of prime factors of all numbers are

Prime factors of 149 are 149

Prime factors of 169 are 13 x 13

Prime factors of 382 are 2 x 191

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 149, 169, 382, 742

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

Apply this formula for all numbers.

Step1:

LCM(149, 169) = 25181

GCD(149, 169) = ( 149 x 169 ) / 25181

= 149 / 169

= 149

Step2:

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

= 1 / 382

= 1

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 149, 169, 382, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 626, 257, 487
• GCD of 733, 197, 980, 223
• GCD of 857, 529, 693, 925
• GCD of 207, 485, 765, 127
• GCD of 943, 452, 462, 275

Given numbers are 149, 169, 382, 742
The greatest common divisor of numbers 149, 169, 382, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 149, 169, 382, 742 is 1.

1. What is the GCD of 149, 169, 382, 742?

GCD of given numbers 149, 169, 382, 742 is 1

2. How to calculate the greatest common divisor of 149, 169, 382, 742?

We can find the highest common divisor of 149, 169, 382, 742 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, 169, 382, 742 i.e 1.

3. How can I use the GCD of 149, 169, 382, 742Calculator?

Out the numbers 149, 169, 382, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.