GCD of 262, 742, 692, 208 Calculator

Given Input numbers are 262, 742, 692, 208

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

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 692 :

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

1, 2, 4, 173, 346, 692

Divisors of 208 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (262, 742, 692, 208) = 2.

Given numbers are 262, 742, 692, 208

The list of prime factors of all numbers are

Prime factors of 262 are 2 x 131

Prime factors of 742 are 2 x 7 x 53

Prime factors of 692 are 2 x 2 x 173

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

The highest common occurrence is 2¹

Therefore, GCD of 262, 742, 692, 208 is 2.

Given numbers are 262, 742, 692, 208

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

Apply this formula for all numbers.

Step1:

LCM(262, 742) = 97202

GCD(262, 742) = ( 262 x 742 ) / 97202

= 262 / 742

= 262

Step2:

LCM(2, 692) = 692

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

= 2 / 692

= 2

Step3:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

So, Greatest Common Divisor of 262, 742, 692, 208 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 162, 565, 615
• GCD of 369, 753, 566, 728
• GCD of 832, 602, 155, 208
• GCD of 650, 863, 789, 855
• GCD of 181, 195, 767, 607

Given numbers are 262, 742, 692, 208
The greatest common divisor of numbers 262, 742, 692, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 262, 742, 692, 208 is 2.

1. What is the GCD of 262, 742, 692, 208?

GCD of given numbers 262, 742, 692, 208 is 2

2. How to calculate the greatest common divisor of 262, 742, 692, 208?

We can find the highest common divisor of 262, 742, 692, 208 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 262, 742, 692, 208 i.e 2.

3. How can I use the GCD of 262, 742, 692, 208Calculator?

Out the numbers 262, 742, 692, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.