GCD of 732, 982, 400, 448 Calculator

Given Input numbers are 732, 982, 400, 448

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

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

GCD of numbers is the greatest common divisor

So, the GCD (732, 982, 400, 448) = 2.

Given numbers are 732, 982, 400, 448

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 982 are 2 x 491

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 732, 982, 400, 448 is 2.

Given numbers are 732, 982, 400, 448

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

Apply this formula for all numbers.

Step1:

LCM(732, 982) = 359412

GCD(732, 982) = ( 732 x 982 ) / 359412

= 732 / 982

= 732

Step2:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

Step3:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

So, Greatest Common Divisor of 732, 982, 400, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 803, 631, 505, 889
• GCD of 707, 419, 457, 156
• GCD of 518, 936, 302, 831
• GCD of 104, 286, 181, 540
• GCD of 942, 694, 513, 490

Given numbers are 732, 982, 400, 448
The greatest common divisor of numbers 732, 982, 400, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 982, 400, 448 is 2.

1. What is the GCD of 732, 982, 400, 448?

GCD of given numbers 732, 982, 400, 448 is 2

2. How to calculate the greatest common divisor of 732, 982, 400, 448?

We can find the highest common divisor of 732, 982, 400, 448 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 732, 982, 400, 448 i.e 2.

3. How can I use the GCD of 732, 982, 400, 448Calculator?

Out the numbers 732, 982, 400, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.