GCD of 356, 705, 420, 523 Calculator

Given Input numbers are 356, 705, 420, 523

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 523 :

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

1, 523

GCD of numbers is the greatest common divisor

So, the GCD (356, 705, 420, 523) = 1.

Given numbers are 356, 705, 420, 523

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 705 are 3 x 5 x 47

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 523 are 523

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

Given numbers are 356, 705, 420, 523

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

Apply this formula for all numbers.

Step1:

LCM(356, 705) = 250980

GCD(356, 705) = ( 356 x 705 ) / 250980

= 356 / 705

= 356

Step2:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

Step3:

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

= 1 / 523

= 1

So, Greatest Common Divisor of 356, 705, 420, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 282, 661, 196
• GCD of 512, 265, 260, 415
• GCD of 799, 628, 485, 574
• GCD of 703, 124, 898, 910
• GCD of 834, 290, 135, 798

Given numbers are 356, 705, 420, 523
The greatest common divisor of numbers 356, 705, 420, 523 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 705, 420, 523 is 1.

1. What is the GCD of 356, 705, 420, 523?

GCD of given numbers 356, 705, 420, 523 is 1

2. How to calculate the greatest common divisor of 356, 705, 420, 523?

We can find the highest common divisor of 356, 705, 420, 523 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 356, 705, 420, 523 i.e 1.

3. How can I use the GCD of 356, 705, 420, 523Calculator?

Out the numbers 356, 705, 420, 523 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.