GCD of 693, 420, 98, 369 Calculator

Given Input numbers are 693, 420, 98, 369

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

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 98 :

The positive integer divisors of 98 that completely divides 98 are.

1, 2, 7, 14, 49, 98

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (693, 420, 98, 369) = 1.

Given numbers are 693, 420, 98, 369

The list of prime factors of all numbers are

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 98 are 2 x 7 x 7

Prime factors of 369 are 3 x 3 x 41

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

Given numbers are 693, 420, 98, 369

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

Apply this formula for all numbers.

Step1:

LCM(693, 420) = 13860

GCD(693, 420) = ( 693 x 420 ) / 13860

= 693 / 420

= 693

Step2:

LCM(21, 98) = 294

GCD(21, 98) = ( 21 x 98 ) / 294

= 21 / 98

= 21

Step3:

LCM(7, 369) = 2583

GCD(7, 369) = ( 7 x 369 ) / 2583

= 7 / 369

= 7

So, Greatest Common Divisor of 693, 420, 98, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 970, 77, 507
• GCD of 526, 619, 18, 147
• GCD of 205, 178, 87, 994
• GCD of 408, 660, 29, 777
• GCD of 861, 478, 61, 542

Given numbers are 693, 420, 98, 369
The greatest common divisor of numbers 693, 420, 98, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 420, 98, 369 is 1.

1. What is the GCD of 693, 420, 98, 369?

GCD of given numbers 693, 420, 98, 369 is 1

2. How to calculate the greatest common divisor of 693, 420, 98, 369?

We can find the highest common divisor of 693, 420, 98, 369 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 693, 420, 98, 369 i.e 1.

3. How can I use the GCD of 693, 420, 98, 369Calculator?

Out the numbers 693, 420, 98, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.