GCD of 696, 411, 267, 114 Calculator

Given Input numbers are 696, 411, 267, 114

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

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 411 :

The positive integer divisors of 411 that completely divides 411 are.

1, 3, 137, 411

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (696, 411, 267, 114) = 3.

Given numbers are 696, 411, 267, 114

The list of prime factors of all numbers are

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 411 are 3 x 137

Prime factors of 267 are 3 x 89

Prime factors of 114 are 2 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 696, 411, 267, 114 is 3.

Given numbers are 696, 411, 267, 114

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

Apply this formula for all numbers.

Step1:

LCM(696, 411) = 95352

GCD(696, 411) = ( 696 x 411 ) / 95352

= 696 / 411

= 696

Step2:

LCM(3, 267) = 267

GCD(3, 267) = ( 3 x 267 ) / 267

= 3 / 267

= 3

Step3:

LCM(3, 114) = 114

GCD(3, 114) = ( 3 x 114 ) / 114

= 3 / 114

= 3

So, Greatest Common Divisor of 696, 411, 267, 114 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 651, 814, 716, 563
• GCD of 484, 153, 650, 398
• GCD of 609, 864, 776, 684
• GCD of 130, 349, 487, 405
• GCD of 569, 131, 529, 386

Given numbers are 696, 411, 267, 114
The greatest common divisor of numbers 696, 411, 267, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 411, 267, 114 is 3.

1. What is the GCD of 696, 411, 267, 114?

GCD of given numbers 696, 411, 267, 114 is 3

2. How to calculate the greatest common divisor of 696, 411, 267, 114?

We can find the highest common divisor of 696, 411, 267, 114 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 696, 411, 267, 114 i.e 3.

3. How can I use the GCD of 696, 411, 267, 114Calculator?

Out the numbers 696, 411, 267, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.