GCD of 772, 276, 712, 900 Calculator

Given Input numbers are 772, 276, 712, 900

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

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

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 (772, 276, 712, 900) = 4.

Given numbers are 772, 276, 712, 900

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 712 are 2 x 2 x 2 x 89

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

The highest common occurrence is 2²

Therefore, GCD of 772, 276, 712, 900 is 4.

Given numbers are 772, 276, 712, 900

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

Apply this formula for all numbers.

Step1:

LCM(772, 276) = 53268

GCD(772, 276) = ( 772 x 276 ) / 53268

= 772 / 276

= 772

Step2:

LCM(4, 712) = 712

GCD(4, 712) = ( 4 x 712 ) / 712

= 4 / 712

= 4

Step3:

LCM(4, 900) = 900

GCD(4, 900) = ( 4 x 900 ) / 900

= 4 / 900

= 4

So, Greatest Common Divisor of 772, 276, 712, 900 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 305, 548, 938, 624
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• GCD of 793, 736, 783, 669

Given numbers are 772, 276, 712, 900
The greatest common divisor of numbers 772, 276, 712, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 276, 712, 900 is 4.

1. What is the GCD of 772, 276, 712, 900?

GCD of given numbers 772, 276, 712, 900 is 4

2. How to calculate the greatest common divisor of 772, 276, 712, 900?

We can find the highest common divisor of 772, 276, 712, 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 772, 276, 712, 900 i.e 4.

3. How can I use the GCD of 772, 276, 712, 900Calculator?

Out the numbers 772, 276, 712, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.