GCD of 448, 722, 38, 772 Calculator

Given Input numbers are 448, 722, 38, 772

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

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 772 :

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

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (448, 722, 38, 772) = 2.

Given numbers are 448, 722, 38, 772

The list of prime factors of all numbers are

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 722 are 2 x 19 x 19

Prime factors of 38 are 2 x 19

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 2¹

Therefore, GCD of 448, 722, 38, 772 is 2.

Given numbers are 448, 722, 38, 772

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

Apply this formula for all numbers.

Step1:

LCM(448, 722) = 161728

GCD(448, 722) = ( 448 x 722 ) / 161728

= 448 / 722

= 448

Step2:

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

= 2 / 38

= 2

Step3:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2

So, Greatest Common Divisor of 448, 722, 38, 772 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 790, 480, 43, 506
• GCD of 940, 156, 25, 294
• GCD of 332, 902, 19, 807
• GCD of 904, 436, 90, 715
• GCD of 536, 544, 33, 549

Given numbers are 448, 722, 38, 772
The greatest common divisor of numbers 448, 722, 38, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 722, 38, 772 is 2.

1. What is the GCD of 448, 722, 38, 772?

GCD of given numbers 448, 722, 38, 772 is 2

2. How to calculate the greatest common divisor of 448, 722, 38, 772?

We can find the highest common divisor of 448, 722, 38, 772 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 448, 722, 38, 772 i.e 2.

3. How can I use the GCD of 448, 722, 38, 772Calculator?

Out the numbers 448, 722, 38, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.