GCD of 420, 261, 873, 746 Calculator

Given Input numbers are 420, 261, 873, 746

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 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (420, 261, 873, 746) = 1.

Given numbers are 420, 261, 873, 746

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 261 are 3 x 3 x 29

Prime factors of 873 are 3 x 3 x 97

Prime factors of 746 are 2 x 373

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

Given numbers are 420, 261, 873, 746

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

Apply this formula for all numbers.

Step1:

LCM(420, 261) = 36540

GCD(420, 261) = ( 420 x 261 ) / 36540

= 420 / 261

= 420

Step2:

LCM(3, 873) = 873

GCD(3, 873) = ( 3 x 873 ) / 873

= 3 / 873

= 3

Step3:

LCM(3, 746) = 2238

GCD(3, 746) = ( 3 x 746 ) / 2238

= 3 / 746

= 3

So, Greatest Common Divisor of 420, 261, 873, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 356, 880, 309
• GCD of 277, 615, 896, 479
• GCD of 180, 760, 242, 179
• GCD of 100, 164, 809, 792
• GCD of 895, 284, 826, 492

Given numbers are 420, 261, 873, 746
The greatest common divisor of numbers 420, 261, 873, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 261, 873, 746 is 1.

1. What is the GCD of 420, 261, 873, 746?

GCD of given numbers 420, 261, 873, 746 is 1

2. How to calculate the greatest common divisor of 420, 261, 873, 746?

We can find the highest common divisor of 420, 261, 873, 746 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, 261, 873, 746 i.e 1.

3. How can I use the GCD of 420, 261, 873, 746Calculator?

Out the numbers 420, 261, 873, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.