GCD of 249, 701, 420 Calculator

Given Input numbers are 249, 701, 420

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

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 701 :

The positive integer divisors of 701 that completely divides 701 are.

1, 701

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 (249, 701, 420) = 1.

Given numbers are 249, 701, 420

The list of prime factors of all numbers are

Prime factors of 249 are 3 x 83

Prime factors of 701 are 701

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 249, 701, 420

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

Apply this formula for all numbers.

Step1:

LCM(249, 701) = 174549

GCD(249, 701) = ( 249 x 701 ) / 174549

= 249 / 701

= 249

Step2:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 249, 701, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 622, 396
• GCD of 196, 295, 111
• GCD of 144, 142, 536
• GCD of 494, 838, 980
• GCD of 818, 182, 924

Given numbers are 249, 701, 420
The greatest common divisor of numbers 249, 701, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 249, 701, 420 is 1.

1. What is the GCD of 249, 701, 420?

GCD of given numbers 249, 701, 420 is 1

2. How to calculate the greatest common divisor of 249, 701, 420?

We can find the highest common divisor of 249, 701, 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 249, 701, 420 i.e 1.

3. How can I use the GCD of 249, 701, 420Calculator?

Out the numbers 249, 701, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.