GCD of 146, 502, 420, 104 Calculator

Given Input numbers are 146, 502, 420, 104

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

Divisors of 146 :

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

1, 2, 73, 146

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

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 104 :

The positive integer divisors of 104 that completely divides 104 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (146, 502, 420, 104) = 2.

Given numbers are 146, 502, 420, 104

The list of prime factors of all numbers are

Prime factors of 146 are 2 x 73

Prime factors of 502 are 2 x 251

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

Prime factors of 104 are 2 x 2 x 2 x 13

The highest common occurrence is 2¹

Therefore, GCD of 146, 502, 420, 104 is 2.

Given numbers are 146, 502, 420, 104

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

Apply this formula for all numbers.

Step1:

LCM(146, 502) = 36646

GCD(146, 502) = ( 146 x 502 ) / 36646

= 146 / 502

= 146

Step2:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

Step3:

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

= 2 / 104

= 2

So, Greatest Common Divisor of 146, 502, 420, 104 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 842, 534, 198
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• GCD of 447, 695, 885, 398

Given numbers are 146, 502, 420, 104
The greatest common divisor of numbers 146, 502, 420, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 502, 420, 104 is 2.

1. What is the GCD of 146, 502, 420, 104?

GCD of given numbers 146, 502, 420, 104 is 2

2. How to calculate the greatest common divisor of 146, 502, 420, 104?

We can find the highest common divisor of 146, 502, 420, 104 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 146, 502, 420, 104 i.e 2.

3. How can I use the GCD of 146, 502, 420, 104Calculator?

Out the numbers 146, 502, 420, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.