GCD of 642, 201, 714, 343 Calculator

Given Input numbers are 642, 201, 714, 343

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

Divisors of 642 :

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

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

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (642, 201, 714, 343) = 1.

Given numbers are 642, 201, 714, 343

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 201 are 3 x 67

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 642, 201, 714, 343

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

Apply this formula for all numbers.

Step1:

LCM(642, 201) = 43014

GCD(642, 201) = ( 642 x 201 ) / 43014

= 642 / 201

= 642

Step2:

LCM(3, 714) = 714

GCD(3, 714) = ( 3 x 714 ) / 714

= 3 / 714

= 3

Step3:

LCM(3, 343) = 1029

GCD(3, 343) = ( 3 x 343 ) / 1029

= 3 / 343

= 3

So, Greatest Common Divisor of 642, 201, 714, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 192, 453, 325, 196
• GCD of 708, 883, 495, 548
• GCD of 231, 382, 941, 436
• GCD of 671, 749, 108, 992
• GCD of 759, 237, 483, 774

Given numbers are 642, 201, 714, 343
The greatest common divisor of numbers 642, 201, 714, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 201, 714, 343 is 1.

1. What is the GCD of 642, 201, 714, 343?

GCD of given numbers 642, 201, 714, 343 is 1

2. How to calculate the greatest common divisor of 642, 201, 714, 343?

We can find the highest common divisor of 642, 201, 714, 343 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 642, 201, 714, 343 i.e 1.

3. How can I use the GCD of 642, 201, 714, 343Calculator?

Out the numbers 642, 201, 714, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.