GCD of 829, 690, 219, 938 Calculator

Given Input numbers are 829, 690, 219, 938

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

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

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 219 :

The positive integer divisors of 219 that completely divides 219 are.

1, 3, 73, 219

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

GCD of numbers is the greatest common divisor

So, the GCD (829, 690, 219, 938) = 1.

Given numbers are 829, 690, 219, 938

The list of prime factors of all numbers are

Prime factors of 829 are 829

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

Prime factors of 219 are 3 x 73

Prime factors of 938 are 2 x 7 x 67

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

Given numbers are 829, 690, 219, 938

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

Apply this formula for all numbers.

Step1:

LCM(829, 690) = 572010

GCD(829, 690) = ( 829 x 690 ) / 572010

= 829 / 690

= 829

Step2:

LCM(1, 219) = 219

GCD(1, 219) = ( 1 x 219 ) / 219

= 1 / 219

= 1

Step3:

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

= 1 / 938

= 1

So, Greatest Common Divisor of 829, 690, 219, 938 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 729, 131, 985
• GCD of 855, 821, 984, 938
• GCD of 970, 770, 739, 178
• GCD of 704, 108, 997, 202
• GCD of 988, 426, 617, 373

Given numbers are 829, 690, 219, 938
The greatest common divisor of numbers 829, 690, 219, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 690, 219, 938 is 1.

1. What is the GCD of 829, 690, 219, 938?

GCD of given numbers 829, 690, 219, 938 is 1

2. How to calculate the greatest common divisor of 829, 690, 219, 938?

We can find the highest common divisor of 829, 690, 219, 938 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 829, 690, 219, 938 i.e 1.

3. How can I use the GCD of 829, 690, 219, 938Calculator?

Out the numbers 829, 690, 219, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.