GCD of 112, 272, 692, 261 Calculator

Given Input numbers are 112, 272, 692, 261

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

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 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 692 :

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

1, 2, 4, 173, 346, 692

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

GCD of numbers is the greatest common divisor

So, the GCD (112, 272, 692, 261) = 1.

Given numbers are 112, 272, 692, 261

The list of prime factors of all numbers are

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

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 692 are 2 x 2 x 173

Prime factors of 261 are 3 x 3 x 29

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

Given numbers are 112, 272, 692, 261

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

Apply this formula for all numbers.

Step1:

LCM(112, 272) = 1904

GCD(112, 272) = ( 112 x 272 ) / 1904

= 112 / 272

= 112

Step2:

LCM(16, 692) = 2768

GCD(16, 692) = ( 16 x 692 ) / 2768

= 16 / 692

= 16

Step3:

LCM(4, 261) = 1044

GCD(4, 261) = ( 4 x 261 ) / 1044

= 4 / 261

= 4

So, Greatest Common Divisor of 112, 272, 692, 261 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 316, 644, 895
• GCD of 388, 177, 255, 756
• GCD of 532, 771, 457, 727
• GCD of 754, 101, 500, 115
• GCD of 184, 804, 206, 197

Given numbers are 112, 272, 692, 261
The greatest common divisor of numbers 112, 272, 692, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 272, 692, 261 is 1.

1. What is the GCD of 112, 272, 692, 261?

GCD of given numbers 112, 272, 692, 261 is 1

2. How to calculate the greatest common divisor of 112, 272, 692, 261?

We can find the highest common divisor of 112, 272, 692, 261 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 112, 272, 692, 261 i.e 1.

3. How can I use the GCD of 112, 272, 692, 261Calculator?

Out the numbers 112, 272, 692, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.