GCD of 762, 153, 825, 468 Calculator

Given Input numbers are 762, 153, 825, 468

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

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 153 :

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

1, 3, 9, 17, 51, 153

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (762, 153, 825, 468) = 3.

Given numbers are 762, 153, 825, 468

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

Prime factors of 153 are 3 x 3 x 17

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 762, 153, 825, 468 is 3.

Given numbers are 762, 153, 825, 468

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

Apply this formula for all numbers.

Step1:

LCM(762, 153) = 38862

GCD(762, 153) = ( 762 x 153 ) / 38862

= 762 / 153

= 762

Step2:

LCM(3, 825) = 825

GCD(3, 825) = ( 3 x 825 ) / 825

= 3 / 825

= 3

Step3:

LCM(3, 468) = 468

GCD(3, 468) = ( 3 x 468 ) / 468

= 3 / 468

= 3

So, Greatest Common Divisor of 762, 153, 825, 468 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 190, 994, 623
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• GCD of 676, 303, 666, 233

Given numbers are 762, 153, 825, 468
The greatest common divisor of numbers 762, 153, 825, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 153, 825, 468 is 3.

1. What is the GCD of 762, 153, 825, 468?

GCD of given numbers 762, 153, 825, 468 is 3

2. How to calculate the greatest common divisor of 762, 153, 825, 468?

We can find the highest common divisor of 762, 153, 825, 468 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 762, 153, 825, 468 i.e 3.

3. How can I use the GCD of 762, 153, 825, 468Calculator?

Out the numbers 762, 153, 825, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.