GCD of 269, 112, 764, 429 Calculator

Given Input numbers are 269, 112, 764, 429

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

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

GCD of numbers is the greatest common divisor

So, the GCD (269, 112, 764, 429) = 1.

Given numbers are 269, 112, 764, 429

The list of prime factors of all numbers are

Prime factors of 269 are 269

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 764 are 2 x 2 x 191

Prime factors of 429 are 3 x 11 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 269, 112, 764, 429

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

Apply this formula for all numbers.

Step1:

LCM(269, 112) = 30128

GCD(269, 112) = ( 269 x 112 ) / 30128

= 269 / 112

= 269

Step2:

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

= 1 / 764

= 1

Step3:

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

= 1 / 429

= 1

So, Greatest Common Divisor of 269, 112, 764, 429 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 740, 912, 206
• GCD of 593, 273, 670, 558
• GCD of 616, 951, 436, 838
• GCD of 211, 634, 321, 899
• GCD of 531, 242, 234, 646

Given numbers are 269, 112, 764, 429
The greatest common divisor of numbers 269, 112, 764, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 269, 112, 764, 429 is 1.

1. What is the GCD of 269, 112, 764, 429?

GCD of given numbers 269, 112, 764, 429 is 1

2. How to calculate the greatest common divisor of 269, 112, 764, 429?

We can find the highest common divisor of 269, 112, 764, 429 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 269, 112, 764, 429 i.e 1.

3. How can I use the GCD of 269, 112, 764, 429Calculator?

Out the numbers 269, 112, 764, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.