GCD of 421, 559, 748, 896 Calculator

Given Input numbers are 421, 559, 748, 896

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

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

GCD of numbers is the greatest common divisor

So, the GCD (421, 559, 748, 896) = 1.

Given numbers are 421, 559, 748, 896

The list of prime factors of all numbers are

Prime factors of 421 are 421

Prime factors of 559 are 13 x 43

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Given numbers are 421, 559, 748, 896

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

Apply this formula for all numbers.

Step1:

LCM(421, 559) = 235339

GCD(421, 559) = ( 421 x 559 ) / 235339

= 421 / 559

= 421

Step2:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

Step3:

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

= 1 / 896

= 1

So, Greatest Common Divisor of 421, 559, 748, 896 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 725, 692, 866, 463
• GCD of 289, 397, 212, 461
• GCD of 334, 496, 742, 651
• GCD of 776, 895, 521, 290
• GCD of 915, 436, 466, 983

Given numbers are 421, 559, 748, 896
The greatest common divisor of numbers 421, 559, 748, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 421, 559, 748, 896 is 1.

1. What is the GCD of 421, 559, 748, 896?

GCD of given numbers 421, 559, 748, 896 is 1

2. How to calculate the greatest common divisor of 421, 559, 748, 896?

We can find the highest common divisor of 421, 559, 748, 896 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 421, 559, 748, 896 i.e 1.

3. How can I use the GCD of 421, 559, 748, 896Calculator?

Out the numbers 421, 559, 748, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.