GCD of 762, 698, 386, 728 Calculator

Given Input numbers are 762, 698, 386, 728

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

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 386 :

The positive integer divisors of 386 that completely divides 386 are.

1, 2, 193, 386

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (762, 698, 386, 728) = 2.

Given numbers are 762, 698, 386, 728

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

Prime factors of 698 are 2 x 349

Prime factors of 386 are 2 x 193

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 762, 698, 386, 728 is 2.

Given numbers are 762, 698, 386, 728

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

Apply this formula for all numbers.

Step1:

LCM(762, 698) = 265938

GCD(762, 698) = ( 762 x 698 ) / 265938

= 762 / 698

= 762

Step2:

LCM(2, 386) = 386

GCD(2, 386) = ( 2 x 386 ) / 386

= 2 / 386

= 2

Step3:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

So, Greatest Common Divisor of 762, 698, 386, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 328, 451, 632
• GCD of 154, 302, 789, 363
• GCD of 478, 448, 476, 157
• GCD of 483, 480, 549, 443
• GCD of 236, 838, 574, 406

Given numbers are 762, 698, 386, 728
The greatest common divisor of numbers 762, 698, 386, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 698, 386, 728 is 2.

1. What is the GCD of 762, 698, 386, 728?

GCD of given numbers 762, 698, 386, 728 is 2

2. How to calculate the greatest common divisor of 762, 698, 386, 728?

We can find the highest common divisor of 762, 698, 386, 728 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 762, 698, 386, 728 i.e 2.

3. How can I use the GCD of 762, 698, 386, 728Calculator?

Out the numbers 762, 698, 386, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.