GCD of 312, 272, 160, 691 Calculator

Given Input numbers are 312, 272, 160, 691

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

GCD of numbers is the greatest common divisor

So, the GCD (312, 272, 160, 691) = 1.

Given numbers are 312, 272, 160, 691

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 691 are 691

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

Given numbers are 312, 272, 160, 691

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

Apply this formula for all numbers.

Step1:

LCM(312, 272) = 10608

GCD(312, 272) = ( 312 x 272 ) / 10608

= 312 / 272

= 312

Step2:

LCM(8, 160) = 160

GCD(8, 160) = ( 8 x 160 ) / 160

= 8 / 160

= 8

Step3:

LCM(8, 691) = 5528

GCD(8, 691) = ( 8 x 691 ) / 5528

= 8 / 691

= 8

So, Greatest Common Divisor of 312, 272, 160, 691 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 290, 553, 448, 495
• GCD of 800, 775, 819, 146
• GCD of 731, 816, 507, 196
• GCD of 281, 599, 797, 922
• GCD of 786, 991, 885, 274

Given numbers are 312, 272, 160, 691
The greatest common divisor of numbers 312, 272, 160, 691 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 272, 160, 691 is 1.

1. What is the GCD of 312, 272, 160, 691?

GCD of given numbers 312, 272, 160, 691 is 1

2. How to calculate the greatest common divisor of 312, 272, 160, 691?

We can find the highest common divisor of 312, 272, 160, 691 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 312, 272, 160, 691 i.e 1.

3. How can I use the GCD of 312, 272, 160, 691Calculator?

Out the numbers 312, 272, 160, 691 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.