GCD of 600, 429, 112, 148 Calculator

Given Input numbers are 600, 429, 112, 148

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

GCD of numbers is the greatest common divisor

So, the GCD (600, 429, 112, 148) = 1.

Given numbers are 600, 429, 112, 148

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 429 are 3 x 11 x 13

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 148 are 2 x 2 x 37

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

Given numbers are 600, 429, 112, 148

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

Apply this formula for all numbers.

Step1:

LCM(600, 429) = 85800

GCD(600, 429) = ( 600 x 429 ) / 85800

= 600 / 429

= 600

Step2:

LCM(3, 112) = 336

GCD(3, 112) = ( 3 x 112 ) / 336

= 3 / 112

= 3

Step3:

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

= 1 / 148

= 1

So, Greatest Common Divisor of 600, 429, 112, 148 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 990, 413, 180
• GCD of 463, 353, 685, 141
• GCD of 230, 410, 748, 306
• GCD of 862, 532, 565, 780
• GCD of 707, 520, 721, 831

Given numbers are 600, 429, 112, 148
The greatest common divisor of numbers 600, 429, 112, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 429, 112, 148 is 1.

1. What is the GCD of 600, 429, 112, 148?

GCD of given numbers 600, 429, 112, 148 is 1

2. How to calculate the greatest common divisor of 600, 429, 112, 148?

We can find the highest common divisor of 600, 429, 112, 148 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 600, 429, 112, 148 i.e 1.

3. How can I use the GCD of 600, 429, 112, 148Calculator?

Out the numbers 600, 429, 112, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.