GCD of 208, 642, 971, 358 Calculator

Given Input numbers are 208, 642, 971, 358

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 642 :

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

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

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (208, 642, 971, 358) = 1.

Given numbers are 208, 642, 971, 358

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 642 are 2 x 3 x 107

Prime factors of 971 are 971

Prime factors of 358 are 2 x 179

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

Given numbers are 208, 642, 971, 358

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

Apply this formula for all numbers.

Step1:

LCM(208, 642) = 66768

GCD(208, 642) = ( 208 x 642 ) / 66768

= 208 / 642

= 208

Step2:

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

= 2 / 971

= 2

Step3:

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

= 1 / 358

= 1

So, Greatest Common Divisor of 208, 642, 971, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 426, 537, 269, 534
• GCD of 848, 877, 526, 498
• GCD of 686, 406, 484, 496
• GCD of 743, 750, 546, 208
• GCD of 400, 834, 391, 300

Given numbers are 208, 642, 971, 358
The greatest common divisor of numbers 208, 642, 971, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 642, 971, 358 is 1.

1. What is the GCD of 208, 642, 971, 358?

GCD of given numbers 208, 642, 971, 358 is 1

2. How to calculate the greatest common divisor of 208, 642, 971, 358?

We can find the highest common divisor of 208, 642, 971, 358 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 208, 642, 971, 358 i.e 1.

3. How can I use the GCD of 208, 642, 971, 358Calculator?

Out the numbers 208, 642, 971, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.