GCD of 624, 142, 350, 412 Calculator

Given Input numbers are 624, 142, 350, 412

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

GCD of numbers is the greatest common divisor

So, the GCD (624, 142, 350, 412) = 2.

Given numbers are 624, 142, 350, 412

The list of prime factors of all numbers are

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 142 are 2 x 71

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 412 are 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 624, 142, 350, 412 is 2.

Given numbers are 624, 142, 350, 412

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

Apply this formula for all numbers.

Step1:

LCM(624, 142) = 44304

GCD(624, 142) = ( 624 x 142 ) / 44304

= 624 / 142

= 624

Step2:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

Step3:

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

= 2 / 412

= 2

So, Greatest Common Divisor of 624, 142, 350, 412 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 419, 639, 295, 112
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• GCD of 816, 527, 398, 114
• GCD of 798, 419, 352, 110

Given numbers are 624, 142, 350, 412
The greatest common divisor of numbers 624, 142, 350, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 142, 350, 412 is 2.

1. What is the GCD of 624, 142, 350, 412?

GCD of given numbers 624, 142, 350, 412 is 2

2. How to calculate the greatest common divisor of 624, 142, 350, 412?

We can find the highest common divisor of 624, 142, 350, 412 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 624, 142, 350, 412 i.e 2.

3. How can I use the GCD of 624, 142, 350, 412Calculator?

Out the numbers 624, 142, 350, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.