GCD of 101, 698, 590, 689 Calculator

Given Input numbers are 101, 698, 590, 689

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

Divisors of 101 :

The positive integer divisors of 101 that completely divides 101 are.

1, 101

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (101, 698, 590, 689) = 1.

Given numbers are 101, 698, 590, 689

The list of prime factors of all numbers are

Prime factors of 101 are 101

Prime factors of 698 are 2 x 349

Prime factors of 590 are 2 x 5 x 59

Prime factors of 689 are 13 x 53

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

Given numbers are 101, 698, 590, 689

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

Apply this formula for all numbers.

Step1:

LCM(101, 698) = 70498

GCD(101, 698) = ( 101 x 698 ) / 70498

= 101 / 698

= 101

Step2:

LCM(1, 590) = 590

GCD(1, 590) = ( 1 x 590 ) / 590

= 1 / 590

= 1

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 101, 698, 590, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 532, 985, 965
• GCD of 858, 821, 852, 413
• GCD of 843, 876, 551, 396
• GCD of 149, 492, 420, 545
• GCD of 707, 265, 915, 967

Given numbers are 101, 698, 590, 689
The greatest common divisor of numbers 101, 698, 590, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 101, 698, 590, 689 is 1.

1. What is the GCD of 101, 698, 590, 689?

GCD of given numbers 101, 698, 590, 689 is 1

2. How to calculate the greatest common divisor of 101, 698, 590, 689?

We can find the highest common divisor of 101, 698, 590, 689 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 101, 698, 590, 689 i.e 1.

3. How can I use the GCD of 101, 698, 590, 689Calculator?

Out the numbers 101, 698, 590, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.