GCD of 762, 916, 32, 120 Calculator

Given Input numbers are 762, 916, 32, 120

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 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 32 :

The positive integer divisors of 32 that completely divides 32 are.

1, 2, 4, 8, 16, 32

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (762, 916, 32, 120) = 2.

Given numbers are 762, 916, 32, 120

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

Prime factors of 916 are 2 x 2 x 229

Prime factors of 32 are 2 x 2 x 2 x 2 x 2

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 762, 916, 32, 120 is 2.

Given numbers are 762, 916, 32, 120

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

Apply this formula for all numbers.

Step1:

LCM(762, 916) = 348996

GCD(762, 916) = ( 762 x 916 ) / 348996

= 762 / 916

= 762

Step2:

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

= 2 / 32

= 2

Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 762, 916, 32, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 163, 95, 173
• GCD of 180, 141, 24, 486
• GCD of 638, 218, 10, 821
• GCD of 844, 301, 79, 498
• GCD of 539, 836, 70, 302

Given numbers are 762, 916, 32, 120
The greatest common divisor of numbers 762, 916, 32, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 916, 32, 120 is 2.

1. What is the GCD of 762, 916, 32, 120?

GCD of given numbers 762, 916, 32, 120 is 2

2. How to calculate the greatest common divisor of 762, 916, 32, 120?

We can find the highest common divisor of 762, 916, 32, 120 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, 916, 32, 120 i.e 2.

3. How can I use the GCD of 762, 916, 32, 120Calculator?

Out the numbers 762, 916, 32, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.