GCD of 208, 798, 969, 420 Calculator

Given Input numbers are 208, 798, 969, 420

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

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

GCD of numbers is the greatest common divisor

So, the GCD (208, 798, 969, 420) = 1.

Given numbers are 208, 798, 969, 420

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 969 are 3 x 17 x 19

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

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

Given numbers are 208, 798, 969, 420

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

Apply this formula for all numbers.

Step1:

LCM(208, 798) = 82992

GCD(208, 798) = ( 208 x 798 ) / 82992

= 208 / 798

= 208

Step2:

LCM(2, 969) = 1938

GCD(2, 969) = ( 2 x 969 ) / 1938

= 2 / 969

= 2

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 208, 798, 969, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 381, 698, 959
• GCD of 229, 468, 971, 776
• GCD of 602, 234, 128, 808
• GCD of 403, 987, 846, 283
• GCD of 238, 302, 786, 420

Given numbers are 208, 798, 969, 420
The greatest common divisor of numbers 208, 798, 969, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 798, 969, 420 is 1.

1. What is the GCD of 208, 798, 969, 420?

GCD of given numbers 208, 798, 969, 420 is 1

2. How to calculate the greatest common divisor of 208, 798, 969, 420?

We can find the highest common divisor of 208, 798, 969, 420 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 208, 798, 969, 420 i.e 1.

3. How can I use the GCD of 208, 798, 969, 420Calculator?

Out the numbers 208, 798, 969, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.