GCD of 699, 109, 157, 420 Calculator

Given Input numbers are 699, 109, 157, 420

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

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 157 :

The positive integer divisors of 157 that completely divides 157 are.

1, 157

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 (699, 109, 157, 420) = 1.

Given numbers are 699, 109, 157, 420

The list of prime factors of all numbers are

Prime factors of 699 are 3 x 233

Prime factors of 109 are 109

Prime factors of 157 are 157

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 699, 109, 157, 420

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

Apply this formula for all numbers.

Step1:

LCM(699, 109) = 76191

GCD(699, 109) = ( 699 x 109 ) / 76191

= 699 / 109

= 699

Step2:

LCM(1, 157) = 157

GCD(1, 157) = ( 1 x 157 ) / 157

= 1 / 157

= 1

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 699, 109, 157, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 971, 397, 305
• GCD of 473, 920, 937, 563
• GCD of 456, 514, 910, 176
• GCD of 580, 875, 563, 462
• GCD of 190, 684, 862, 194

Given numbers are 699, 109, 157, 420
The greatest common divisor of numbers 699, 109, 157, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 699, 109, 157, 420 is 1.

1. What is the GCD of 699, 109, 157, 420?

GCD of given numbers 699, 109, 157, 420 is 1

2. How to calculate the greatest common divisor of 699, 109, 157, 420?

We can find the highest common divisor of 699, 109, 157, 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 699, 109, 157, 420 i.e 1.

3. How can I use the GCD of 699, 109, 157, 420Calculator?

Out the numbers 699, 109, 157, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.