GCD of 762, 172, 452 Calculator

Given Input numbers are 762, 172, 452

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 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

GCD of numbers is the greatest common divisor

So, the GCD (762, 172, 452) = 2.

Given numbers are 762, 172, 452

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

Prime factors of 172 are 2 x 2 x 43

Prime factors of 452 are 2 x 2 x 113

The highest common occurrence is 2¹

Therefore, GCD of 762, 172, 452 is 2.

Given numbers are 762, 172, 452

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

Apply this formula for all numbers.

Step1:

LCM(762, 172) = 65532

GCD(762, 172) = ( 762 x 172 ) / 65532

= 762 / 172

= 762

Step2:

LCM(2, 452) = 452

GCD(2, 452) = ( 2 x 452 ) / 452

= 2 / 452

= 2

So, Greatest Common Divisor of 762, 172, 452 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 241, 168
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Given numbers are 762, 172, 452
The greatest common divisor of numbers 762, 172, 452 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 172, 452 is 2.

1. What is the GCD of 762, 172, 452?

GCD of given numbers 762, 172, 452 is 2

2. How to calculate the greatest common divisor of 762, 172, 452?

We can find the highest common divisor of 762, 172, 452 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, 172, 452 i.e 2.

3. How can I use the GCD of 762, 172, 452Calculator?

Out the numbers 762, 172, 452 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.