GCD of 368, 989, 146, 420 Calculator

Given Input numbers are 368, 989, 146, 420

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

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

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 (368, 989, 146, 420) = 1.

Given numbers are 368, 989, 146, 420

The list of prime factors of all numbers are

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 989 are 23 x 43

Prime factors of 146 are 2 x 73

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 368, 989, 146, 420

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

Apply this formula for all numbers.

Step1:

LCM(368, 989) = 15824

GCD(368, 989) = ( 368 x 989 ) / 15824

= 368 / 989

= 368

Step2:

LCM(23, 146) = 3358

GCD(23, 146) = ( 23 x 146 ) / 3358

= 23 / 146

= 23

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 368, 989, 146, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 653, 783, 122
• GCD of 575, 298, 557, 317
• GCD of 237, 913, 868, 920
• GCD of 561, 813, 942, 351
• GCD of 163, 418, 914, 865

Given numbers are 368, 989, 146, 420
The greatest common divisor of numbers 368, 989, 146, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 368, 989, 146, 420 is 1.

1. What is the GCD of 368, 989, 146, 420?

GCD of given numbers 368, 989, 146, 420 is 1

2. How to calculate the greatest common divisor of 368, 989, 146, 420?

We can find the highest common divisor of 368, 989, 146, 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 368, 989, 146, 420 i.e 1.

3. How can I use the GCD of 368, 989, 146, 420Calculator?

Out the numbers 368, 989, 146, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.