GCD of 208, 624, 698, 766 Calculator

Given Input numbers are 208, 624, 698, 766

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

GCD of numbers is the greatest common divisor

So, the GCD (208, 624, 698, 766) = 2.

Given numbers are 208, 624, 698, 766

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 698 are 2 x 349

Prime factors of 766 are 2 x 383

The highest common occurrence is 2¹

Therefore, GCD of 208, 624, 698, 766 is 2.

Given numbers are 208, 624, 698, 766

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

Apply this formula for all numbers.

Step1:

LCM(208, 624) = 624

GCD(208, 624) = ( 208 x 624 ) / 624

= 208 / 624

= 208

Step2:

LCM(208, 698) = 72592

GCD(208, 698) = ( 208 x 698 ) / 72592

= 208 / 698

= 208

Step3:

LCM(2, 766) = 766

GCD(2, 766) = ( 2 x 766 ) / 766

= 2 / 766

= 2

So, Greatest Common Divisor of 208, 624, 698, 766 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 214, 719, 729
• GCD of 281, 408, 326, 383
• GCD of 273, 284, 993, 887
• GCD of 106, 230, 651, 415
• GCD of 527, 974, 754, 146

Given numbers are 208, 624, 698, 766
The greatest common divisor of numbers 208, 624, 698, 766 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 624, 698, 766 is 2.

1. What is the GCD of 208, 624, 698, 766?

GCD of given numbers 208, 624, 698, 766 is 2

2. How to calculate the greatest common divisor of 208, 624, 698, 766?

We can find the highest common divisor of 208, 624, 698, 766 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 208, 624, 698, 766 i.e 2.

3. How can I use the GCD of 208, 624, 698, 766Calculator?

Out the numbers 208, 624, 698, 766 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.