GCD of 758, 656, 698, 924 Calculator

Given Input numbers are 758, 656, 698, 924

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

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

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 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (758, 656, 698, 924) = 2.

Given numbers are 758, 656, 698, 924

The list of prime factors of all numbers are

Prime factors of 758 are 2 x 379

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

Prime factors of 698 are 2 x 349

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 758, 656, 698, 924 is 2.

Given numbers are 758, 656, 698, 924

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

Apply this formula for all numbers.

Step1:

LCM(758, 656) = 248624

GCD(758, 656) = ( 758 x 656 ) / 248624

= 758 / 656

= 758

Step2:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

Step3:

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

= 2 / 924

= 2

So, Greatest Common Divisor of 758, 656, 698, 924 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 336, 640, 616
• GCD of 537, 852, 368, 718
• GCD of 484, 272, 780, 276
• GCD of 926, 415, 130, 783
• GCD of 643, 151, 563, 612

Given numbers are 758, 656, 698, 924
The greatest common divisor of numbers 758, 656, 698, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 758, 656, 698, 924 is 2.

1. What is the GCD of 758, 656, 698, 924?

GCD of given numbers 758, 656, 698, 924 is 2

2. How to calculate the greatest common divisor of 758, 656, 698, 924?

We can find the highest common divisor of 758, 656, 698, 924 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 758, 656, 698, 924 i.e 2.

3. How can I use the GCD of 758, 656, 698, 924Calculator?

Out the numbers 758, 656, 698, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.