GCD of 126, 656, 692, 704 Calculator

Given Input numbers are 126, 656, 692, 704

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

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 (126, 656, 692, 704) = 2.

Given numbers are 126, 656, 692, 704

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 692 are 2 x 2 x 173

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 126, 656, 692, 704 is 2.

Given numbers are 126, 656, 692, 704

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

Apply this formula for all numbers.

Step1:

LCM(126, 656) = 41328

GCD(126, 656) = ( 126 x 656 ) / 41328

= 126 / 656

= 126

Step2:

LCM(2, 692) = 692

GCD(2, 692) = ( 2 x 692 ) / 692

= 2 / 692

= 2

Step3:

LCM(2, 704) = 704

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

= 2 / 704

= 2

So, Greatest Common Divisor of 126, 656, 692, 704 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 424, 517, 799
• GCD of 363, 496, 617, 601
• GCD of 728, 201, 941, 190
• GCD of 696, 213, 997, 387
• GCD of 901, 469, 511, 831

Given numbers are 126, 656, 692, 704
The greatest common divisor of numbers 126, 656, 692, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 656, 692, 704 is 2.

1. What is the GCD of 126, 656, 692, 704?

GCD of given numbers 126, 656, 692, 704 is 2

2. How to calculate the greatest common divisor of 126, 656, 692, 704?

We can find the highest common divisor of 126, 656, 692, 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 126, 656, 692, 704 i.e 2.

3. How can I use the GCD of 126, 656, 692, 704Calculator?

Out the numbers 126, 656, 692, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.