GCD of 116, 266, 64, 692 Calculator

Given Input numbers are 116, 266, 64, 692

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 64 :

The positive integer divisors of 64 that completely divides 64 are.

1, 2, 4, 8, 16, 32, 64

Divisors of 692 :

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

1, 2, 4, 173, 346, 692

GCD of numbers is the greatest common divisor

So, the GCD (116, 266, 64, 692) = 2.

Given numbers are 116, 266, 64, 692

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 266 are 2 x 7 x 19

Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 692 are 2 x 2 x 173

The highest common occurrence is 2¹

Therefore, GCD of 116, 266, 64, 692 is 2.

Given numbers are 116, 266, 64, 692

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

Apply this formula for all numbers.

Step1:

LCM(116, 266) = 15428

GCD(116, 266) = ( 116 x 266 ) / 15428

= 116 / 266

= 116

Step2:

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

= 2 / 64

= 2

Step3:

LCM(2, 692) = 692

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

= 2 / 692

= 2

So, Greatest Common Divisor of 116, 266, 64, 692 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 857, 84, 458
• GCD of 449, 460, 65, 161
• GCD of 416, 970, 53, 925
• GCD of 610, 990, 71, 521
• GCD of 585, 514, 51, 769

Given numbers are 116, 266, 64, 692
The greatest common divisor of numbers 116, 266, 64, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 266, 64, 692 is 2.

1. What is the GCD of 116, 266, 64, 692?

GCD of given numbers 116, 266, 64, 692 is 2

2. How to calculate the greatest common divisor of 116, 266, 64, 692?

We can find the highest common divisor of 116, 266, 64, 692 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 116, 266, 64, 692 i.e 2.

3. How can I use the GCD of 116, 266, 64, 692Calculator?

Out the numbers 116, 266, 64, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.