GCD of 420, 495, 692, 698 Calculator

Given Input numbers are 420, 495, 692, 698

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

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 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 698 :

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

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (420, 495, 692, 698) = 1.

Given numbers are 420, 495, 692, 698

The list of prime factors of all numbers are

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

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 692 are 2 x 2 x 173

Prime factors of 698 are 2 x 349

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

Given numbers are 420, 495, 692, 698

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

Apply this formula for all numbers.

Step1:

LCM(420, 495) = 13860

GCD(420, 495) = ( 420 x 495 ) / 13860

= 420 / 495

= 420

Step2:

LCM(15, 692) = 10380

GCD(15, 692) = ( 15 x 692 ) / 10380

= 15 / 692

= 15

Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

So, Greatest Common Divisor of 420, 495, 692, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 459, 911, 837
• GCD of 804, 668, 729, 247
• GCD of 158, 902, 369, 497
• GCD of 695, 245, 631, 721
• GCD of 425, 896, 822, 996

Given numbers are 420, 495, 692, 698
The greatest common divisor of numbers 420, 495, 692, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 495, 692, 698 is 1.

1. What is the GCD of 420, 495, 692, 698?

GCD of given numbers 420, 495, 692, 698 is 1

2. How to calculate the greatest common divisor of 420, 495, 692, 698?

We can find the highest common divisor of 420, 495, 692, 698 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 420, 495, 692, 698 i.e 1.

3. How can I use the GCD of 420, 495, 692, 698Calculator?

Out the numbers 420, 495, 692, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.