GCD of 448, 198, 652, 694 Calculator

Given Input numbers are 448, 198, 652, 694

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

GCD of numbers is the greatest common divisor

So, the GCD (448, 198, 652, 694) = 2.

Given numbers are 448, 198, 652, 694

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 198 are 2 x 3 x 3 x 11

Prime factors of 652 are 2 x 2 x 163

Prime factors of 694 are 2 x 347

The highest common occurrence is 2¹

Therefore, GCD of 448, 198, 652, 694 is 2.

Given numbers are 448, 198, 652, 694

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

Apply this formula for all numbers.

Step1:

LCM(448, 198) = 44352

GCD(448, 198) = ( 448 x 198 ) / 44352

= 448 / 198

= 448

Step2:

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

= 2 / 652

= 2

Step3:

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

= 2 / 694

= 2

So, Greatest Common Divisor of 448, 198, 652, 694 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 377, 343, 724, 516
• GCD of 819, 149, 346, 918
• GCD of 135, 480, 355, 601
• GCD of 983, 310, 221, 195
• GCD of 243, 159, 358, 687

Given numbers are 448, 198, 652, 694
The greatest common divisor of numbers 448, 198, 652, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 198, 652, 694 is 2.

1. What is the GCD of 448, 198, 652, 694?

GCD of given numbers 448, 198, 652, 694 is 2

2. How to calculate the greatest common divisor of 448, 198, 652, 694?

We can find the highest common divisor of 448, 198, 652, 694 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, 198, 652, 694 i.e 2.

3. How can I use the GCD of 448, 198, 652, 694Calculator?

Out the numbers 448, 198, 652, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.