GCD of 480, 100, 776, 132 Calculator

Given Input numbers are 480, 100, 776, 132

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

GCD of numbers is the greatest common divisor

So, the GCD (480, 100, 776, 132) = 4.

Given numbers are 480, 100, 776, 132

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 776 are 2 x 2 x 2 x 97

Prime factors of 132 are 2 x 2 x 3 x 11

The highest common occurrence is 2²

Therefore, GCD of 480, 100, 776, 132 is 4.

Given numbers are 480, 100, 776, 132

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

Apply this formula for all numbers.

Step1:

LCM(480, 100) = 2400

GCD(480, 100) = ( 480 x 100 ) / 2400

= 480 / 100

= 480

Step2:

LCM(20, 776) = 3880

GCD(20, 776) = ( 20 x 776 ) / 3880

= 20 / 776

= 20

Step3:

LCM(4, 132) = 132

GCD(4, 132) = ( 4 x 132 ) / 132

= 4 / 132

= 4

So, Greatest Common Divisor of 480, 100, 776, 132 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 524, 784, 311, 520
• GCD of 105, 575, 361, 683
• GCD of 407, 148, 209, 430
• GCD of 242, 500, 736, 734
• GCD of 849, 196, 489, 196

Given numbers are 480, 100, 776, 132
The greatest common divisor of numbers 480, 100, 776, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 100, 776, 132 is 4.

1. What is the GCD of 480, 100, 776, 132?

GCD of given numbers 480, 100, 776, 132 is 4

2. How to calculate the greatest common divisor of 480, 100, 776, 132?

We can find the highest common divisor of 480, 100, 776, 132 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 480, 100, 776, 132 i.e 4.

3. How can I use the GCD of 480, 100, 776, 132Calculator?

Out the numbers 480, 100, 776, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.