GCD of 523, 149, 642, 677 Calculator

Given Input numbers are 523, 149, 642, 677

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

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 149 :

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

1, 149

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

GCD of numbers is the greatest common divisor

So, the GCD (523, 149, 642, 677) = 1.

Given numbers are 523, 149, 642, 677

The list of prime factors of all numbers are

Prime factors of 523 are 523

Prime factors of 149 are 149

Prime factors of 642 are 2 x 3 x 107

Prime factors of 677 are 677

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

Given numbers are 523, 149, 642, 677

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

Apply this formula for all numbers.

Step1:

LCM(523, 149) = 77927

GCD(523, 149) = ( 523 x 149 ) / 77927

= 523 / 149

= 523

Step2:

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

= 1 / 642

= 1

Step3:

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

= 1 / 677

= 1

So, Greatest Common Divisor of 523, 149, 642, 677 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 622, 882, 290
• GCD of 430, 760, 699, 686
• GCD of 586, 118, 543, 175
• GCD of 309, 681, 399, 402
• GCD of 158, 886, 653, 471

Given numbers are 523, 149, 642, 677
The greatest common divisor of numbers 523, 149, 642, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 523, 149, 642, 677 is 1.

1. What is the GCD of 523, 149, 642, 677?

GCD of given numbers 523, 149, 642, 677 is 1

2. How to calculate the greatest common divisor of 523, 149, 642, 677?

We can find the highest common divisor of 523, 149, 642, 677 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 523, 149, 642, 677 i.e 1.

3. How can I use the GCD of 523, 149, 642, 677Calculator?

Out the numbers 523, 149, 642, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.