GCD of 217, 690, 77, 827 Calculator

Given Input numbers are 217, 690, 77, 827

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

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

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 77 :

The positive integer divisors of 77 that completely divides 77 are.

1, 7, 11, 77

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

GCD of numbers is the greatest common divisor

So, the GCD (217, 690, 77, 827) = 1.

Given numbers are 217, 690, 77, 827

The list of prime factors of all numbers are

Prime factors of 217 are 7 x 31

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

Prime factors of 77 are 7 x 11

Prime factors of 827 are 827

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

Given numbers are 217, 690, 77, 827

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

Apply this formula for all numbers.

Step1:

LCM(217, 690) = 149730

GCD(217, 690) = ( 217 x 690 ) / 149730

= 217 / 690

= 217

Step2:

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

= 1 / 77

= 1

Step3:

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

= 1 / 827

= 1

So, Greatest Common Divisor of 217, 690, 77, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 876, 238, 77, 528
• GCD of 860, 534, 72, 140
• GCD of 347, 247, 18, 311
• GCD of 282, 887, 10, 577
• GCD of 216, 203, 93, 846

Given numbers are 217, 690, 77, 827
The greatest common divisor of numbers 217, 690, 77, 827 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 217, 690, 77, 827 is 1.

1. What is the GCD of 217, 690, 77, 827?

GCD of given numbers 217, 690, 77, 827 is 1

2. How to calculate the greatest common divisor of 217, 690, 77, 827?

We can find the highest common divisor of 217, 690, 77, 827 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 217, 690, 77, 827 i.e 1.

3. How can I use the GCD of 217, 690, 77, 827Calculator?

Out the numbers 217, 690, 77, 827 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.