GCD of 690, 275, 356, 314 Calculator

Given Input numbers are 690, 275, 356, 314

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 275 :

The positive integer divisors of 275 that completely divides 275 are.

1, 5, 11, 25, 55, 275

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (690, 275, 356, 314) = 1.

Given numbers are 690, 275, 356, 314

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 275 are 5 x 5 x 11

Prime factors of 356 are 2 x 2 x 89

Prime factors of 314 are 2 x 157

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

Given numbers are 690, 275, 356, 314

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

Apply this formula for all numbers.

Step1:

LCM(690, 275) = 37950

GCD(690, 275) = ( 690 x 275 ) / 37950

= 690 / 275

= 690

Step2:

LCM(5, 356) = 1780

GCD(5, 356) = ( 5 x 356 ) / 1780

= 5 / 356

= 5

Step3:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

So, Greatest Common Divisor of 690, 275, 356, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 426, 330, 490
• GCD of 554, 539, 269, 505
• GCD of 923, 547, 440, 930
• GCD of 247, 121, 735, 192
• GCD of 507, 637, 762, 631

Given numbers are 690, 275, 356, 314
The greatest common divisor of numbers 690, 275, 356, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 275, 356, 314 is 1.

1. What is the GCD of 690, 275, 356, 314?

GCD of given numbers 690, 275, 356, 314 is 1

2. How to calculate the greatest common divisor of 690, 275, 356, 314?

We can find the highest common divisor of 690, 275, 356, 314 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 690, 275, 356, 314 i.e 1.

3. How can I use the GCD of 690, 275, 356, 314Calculator?

Out the numbers 690, 275, 356, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.