GCD of 762, 240, 900 Calculator

Given Input numbers are 762, 240, 900

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 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (762, 240, 900) = 6.

Given numbers are 762, 240, 900

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 762, 240, 900 is 6.

Given numbers are 762, 240, 900

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

Apply this formula for all numbers.

Step1:

LCM(762, 240) = 30480

GCD(762, 240) = ( 762 x 240 ) / 30480

= 762 / 240

= 762

Step2:

LCM(6, 900) = 900

GCD(6, 900) = ( 6 x 900 ) / 900

= 6 / 900

= 6

So, Greatest Common Divisor of 762, 240, 900 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 945, 480
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Given numbers are 762, 240, 900
The greatest common divisor of numbers 762, 240, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 240, 900 is 6.

1. What is the GCD of 762, 240, 900?

GCD of given numbers 762, 240, 900 is 6

2. How to calculate the greatest common divisor of 762, 240, 900?

We can find the highest common divisor of 762, 240, 900 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, 240, 900 i.e 6.

3. How can I use the GCD of 762, 240, 900Calculator?

Out the numbers 762, 240, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.