GCD of 693, 121, 196, 414 Calculator

Given Input numbers are 693, 121, 196, 414

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 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (693, 121, 196, 414) = 1.

Given numbers are 693, 121, 196, 414

The list of prime factors of all numbers are

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

Prime factors of 121 are 11 x 11

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 414 are 2 x 3 x 3 x 23

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

Given numbers are 693, 121, 196, 414

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

Apply this formula for all numbers.

Step1:

LCM(693, 121) = 7623

GCD(693, 121) = ( 693 x 121 ) / 7623

= 693 / 121

= 693

Step2:

LCM(11, 196) = 2156

GCD(11, 196) = ( 11 x 196 ) / 2156

= 11 / 196

= 11

Step3:

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

= 1 / 414

= 1

So, Greatest Common Divisor of 693, 121, 196, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 914, 170, 164
• GCD of 405, 204, 995, 956
• GCD of 601, 462, 661, 581
• GCD of 271, 588, 718, 697
• GCD of 953, 639, 955, 483

Given numbers are 693, 121, 196, 414
The greatest common divisor of numbers 693, 121, 196, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 121, 196, 414 is 1.

1. What is the GCD of 693, 121, 196, 414?

GCD of given numbers 693, 121, 196, 414 is 1

2. How to calculate the greatest common divisor of 693, 121, 196, 414?

We can find the highest common divisor of 693, 121, 196, 414 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, 121, 196, 414 i.e 1.

3. How can I use the GCD of 693, 121, 196, 414Calculator?

Out the numbers 693, 121, 196, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.