GCD of 562, 535, 448, 972 Calculator

Given Input numbers are 562, 535, 448, 972

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

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 535 :

The positive integer divisors of 535 that completely divides 535 are.

1, 5, 107, 535

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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (562, 535, 448, 972) = 1.

Given numbers are 562, 535, 448, 972

The list of prime factors of all numbers are

Prime factors of 562 are 2 x 281

Prime factors of 535 are 5 x 107

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

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 562, 535, 448, 972

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

Apply this formula for all numbers.

Step1:

LCM(562, 535) = 300670

GCD(562, 535) = ( 562 x 535 ) / 300670

= 562 / 535

= 562

Step2:

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

= 1 / 448

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 562, 535, 448, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 194, 914, 694
• GCD of 137, 542, 631, 222
• GCD of 661, 808, 161, 114
• GCD of 723, 342, 113, 991
• GCD of 508, 330, 598, 124

Given numbers are 562, 535, 448, 972
The greatest common divisor of numbers 562, 535, 448, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 562, 535, 448, 972 is 1.

1. What is the GCD of 562, 535, 448, 972?

GCD of given numbers 562, 535, 448, 972 is 1

2. How to calculate the greatest common divisor of 562, 535, 448, 972?

We can find the highest common divisor of 562, 535, 448, 972 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 562, 535, 448, 972 i.e 1.

3. How can I use the GCD of 562, 535, 448, 972Calculator?

Out the numbers 562, 535, 448, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.