GCD of 448, 842, 132, 964 Calculator

Given Input numbers are 448, 842, 132, 964

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 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

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

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

GCD of numbers is the greatest common divisor

So, the GCD (448, 842, 132, 964) = 2.

Given numbers are 448, 842, 132, 964

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 842 are 2 x 421

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

Prime factors of 964 are 2 x 2 x 241

The highest common occurrence is 2¹

Therefore, GCD of 448, 842, 132, 964 is 2.

Given numbers are 448, 842, 132, 964

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

Apply this formula for all numbers.

Step1:

LCM(448, 842) = 188608

GCD(448, 842) = ( 448 x 842 ) / 188608

= 448 / 842

= 448

Step2:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2

Step3:

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

= 2 / 964

= 2

So, Greatest Common Divisor of 448, 842, 132, 964 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 701, 782, 612
• GCD of 254, 443, 322, 337
• GCD of 300, 492, 907, 687
• GCD of 688, 644, 270, 253
• GCD of 890, 474, 941, 982

Given numbers are 448, 842, 132, 964
The greatest common divisor of numbers 448, 842, 132, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 842, 132, 964 is 2.

1. What is the GCD of 448, 842, 132, 964?

GCD of given numbers 448, 842, 132, 964 is 2

2. How to calculate the greatest common divisor of 448, 842, 132, 964?

We can find the highest common divisor of 448, 842, 132, 964 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, 842, 132, 964 i.e 2.

3. How can I use the GCD of 448, 842, 132, 964Calculator?

Out the numbers 448, 842, 132, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.