GCD of 628, 632, 698, 756 Calculator

Given Input numbers are 628, 632, 698, 756

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

GCD of numbers is the greatest common divisor

So, the GCD (628, 632, 698, 756) = 2.

Given numbers are 628, 632, 698, 756

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 632 are 2 x 2 x 2 x 79

Prime factors of 698 are 2 x 349

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 628, 632, 698, 756 is 2.

Given numbers are 628, 632, 698, 756

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

Apply this formula for all numbers.

Step1:

LCM(628, 632) = 99224

GCD(628, 632) = ( 628 x 632 ) / 99224

= 628 / 632

= 628

Step2:

LCM(4, 698) = 1396

GCD(4, 698) = ( 4 x 698 ) / 1396

= 4 / 698

= 4

Step3:

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

= 2 / 756

= 2

So, Greatest Common Divisor of 628, 632, 698, 756 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 175, 964, 656
• GCD of 667, 720, 137, 406
• GCD of 676, 414, 453, 448
• GCD of 125, 993, 229, 642
• GCD of 936, 490, 350, 718

Given numbers are 628, 632, 698, 756
The greatest common divisor of numbers 628, 632, 698, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 632, 698, 756 is 2.

1. What is the GCD of 628, 632, 698, 756?

GCD of given numbers 628, 632, 698, 756 is 2

2. How to calculate the greatest common divisor of 628, 632, 698, 756?

We can find the highest common divisor of 628, 632, 698, 756 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 628, 632, 698, 756 i.e 2.

3. How can I use the GCD of 628, 632, 698, 756Calculator?

Out the numbers 628, 632, 698, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.