GCD of 294, 676, 705, 462 Calculator

Given Input numbers are 294, 676, 705, 462

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

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 705 :

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

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (294, 676, 705, 462) = 1.

Given numbers are 294, 676, 705, 462

The list of prime factors of all numbers are

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 705 are 3 x 5 x 47

Prime factors of 462 are 2 x 3 x 7 x 11

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

Given numbers are 294, 676, 705, 462

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

Apply this formula for all numbers.

Step1:

LCM(294, 676) = 99372

GCD(294, 676) = ( 294 x 676 ) / 99372

= 294 / 676

= 294

Step2:

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

= 2 / 705

= 2

Step3:

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

= 1 / 462

= 1

So, Greatest Common Divisor of 294, 676, 705, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 936, 214, 645
• GCD of 288, 378, 628, 389
• GCD of 865, 609, 741, 203
• GCD of 824, 745, 164, 517
• GCD of 520, 589, 139, 787

Given numbers are 294, 676, 705, 462
The greatest common divisor of numbers 294, 676, 705, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 676, 705, 462 is 1.

1. What is the GCD of 294, 676, 705, 462?

GCD of given numbers 294, 676, 705, 462 is 1

2. How to calculate the greatest common divisor of 294, 676, 705, 462?

We can find the highest common divisor of 294, 676, 705, 462 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 294, 676, 705, 462 i.e 1.

3. How can I use the GCD of 294, 676, 705, 462Calculator?

Out the numbers 294, 676, 705, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.