GCD of 698, 210, 73, 144 Calculator

Given Input numbers are 698, 210, 73, 144

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

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 73 :

The positive integer divisors of 73 that completely divides 73 are.

1, 73

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (698, 210, 73, 144) = 1.

Given numbers are 698, 210, 73, 144

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 73 are 73

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 698, 210, 73, 144

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

Apply this formula for all numbers.

Step1:

LCM(698, 210) = 73290

GCD(698, 210) = ( 698 x 210 ) / 73290

= 698 / 210

= 698

Step2:

LCM(2, 73) = 146

GCD(2, 73) = ( 2 x 73 ) / 146

= 2 / 73

= 2

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 698, 210, 73, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 751, 24, 392
• GCD of 918, 101, 30, 844
• GCD of 984, 129, 82, 911
• GCD of 167, 139, 13, 425
• GCD of 118, 285, 83, 904

Given numbers are 698, 210, 73, 144
The greatest common divisor of numbers 698, 210, 73, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 210, 73, 144 is 1.

1. What is the GCD of 698, 210, 73, 144?

GCD of given numbers 698, 210, 73, 144 is 1

2. How to calculate the greatest common divisor of 698, 210, 73, 144?

We can find the highest common divisor of 698, 210, 73, 144 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 698, 210, 73, 144 i.e 1.

3. How can I use the GCD of 698, 210, 73, 144Calculator?

Out the numbers 698, 210, 73, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.