GCD of 294, 392, 706, 704 Calculator

Given Input numbers are 294, 392, 706, 704

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 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (294, 392, 706, 704) = 2.

Given numbers are 294, 392, 706, 704

The list of prime factors of all numbers are

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

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 706 are 2 x 353

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 294, 392, 706, 704 is 2.

Given numbers are 294, 392, 706, 704

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

Apply this formula for all numbers.

Step1:

LCM(294, 392) = 1176

GCD(294, 392) = ( 294 x 392 ) / 1176

= 294 / 392

= 294

Step2:

LCM(98, 706) = 34594

GCD(98, 706) = ( 98 x 706 ) / 34594

= 98 / 706

= 98

Step3:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

So, Greatest Common Divisor of 294, 392, 706, 704 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 697, 268, 384
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• GCD of 103, 855, 722, 707
• GCD of 237, 462, 413, 473

Given numbers are 294, 392, 706, 704
The greatest common divisor of numbers 294, 392, 706, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 392, 706, 704 is 2.

1. What is the GCD of 294, 392, 706, 704?

GCD of given numbers 294, 392, 706, 704 is 2

2. How to calculate the greatest common divisor of 294, 392, 706, 704?

We can find the highest common divisor of 294, 392, 706, 704 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, 392, 706, 704 i.e 2.

3. How can I use the GCD of 294, 392, 706, 704Calculator?

Out the numbers 294, 392, 706, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.