GCD of 429, 861, 153, 675 Calculator

Given Input numbers are 429, 861, 153, 675

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

Divisors of 429 :

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

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

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

GCD of numbers is the greatest common divisor

So, the GCD (429, 861, 153, 675) = 3.

Given numbers are 429, 861, 153, 675

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 861 are 3 x 7 x 41

Prime factors of 153 are 3 x 3 x 17

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 429, 861, 153, 675 is 3.

Given numbers are 429, 861, 153, 675

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

Apply this formula for all numbers.

Step1:

LCM(429, 861) = 123123

GCD(429, 861) = ( 429 x 861 ) / 123123

= 429 / 861

= 429

Step2:

LCM(3, 153) = 153

GCD(3, 153) = ( 3 x 153 ) / 153

= 3 / 153

= 3

Step3:

LCM(3, 675) = 675

GCD(3, 675) = ( 3 x 675 ) / 675

= 3 / 675

= 3

So, Greatest Common Divisor of 429, 861, 153, 675 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 230, 682, 454
• GCD of 401, 573, 511, 736
• GCD of 512, 783, 876, 655
• GCD of 312, 261, 150, 712
• GCD of 379, 146, 473, 962

Given numbers are 429, 861, 153, 675
The greatest common divisor of numbers 429, 861, 153, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 861, 153, 675 is 3.

1. What is the GCD of 429, 861, 153, 675?

GCD of given numbers 429, 861, 153, 675 is 3

2. How to calculate the greatest common divisor of 429, 861, 153, 675?

We can find the highest common divisor of 429, 861, 153, 675 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 429, 861, 153, 675 i.e 3.

3. How can I use the GCD of 429, 861, 153, 675Calculator?

Out the numbers 429, 861, 153, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.