GCD of 800, 297, 528, 421 Calculator

Given Input numbers are 800, 297, 528, 421

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 421 :

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

1, 421

GCD of numbers is the greatest common divisor

So, the GCD (800, 297, 528, 421) = 1.

Given numbers are 800, 297, 528, 421

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 421 are 421

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

Given numbers are 800, 297, 528, 421

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

Apply this formula for all numbers.

Step1:

LCM(800, 297) = 237600

GCD(800, 297) = ( 800 x 297 ) / 237600

= 800 / 297

= 800

Step2:

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

= 1 / 528

= 1

Step3:

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

= 1 / 421

= 1

So, Greatest Common Divisor of 800, 297, 528, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 210, 135, 575, 733
• GCD of 126, 672, 932, 401
• GCD of 836, 433, 975, 628
• GCD of 460, 814, 546, 982
• GCD of 860, 771, 226, 236

Given numbers are 800, 297, 528, 421
The greatest common divisor of numbers 800, 297, 528, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 297, 528, 421 is 1.

1. What is the GCD of 800, 297, 528, 421?

GCD of given numbers 800, 297, 528, 421 is 1

2. How to calculate the greatest common divisor of 800, 297, 528, 421?

We can find the highest common divisor of 800, 297, 528, 421 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 800, 297, 528, 421 i.e 1.

3. How can I use the GCD of 800, 297, 528, 421Calculator?

Out the numbers 800, 297, 528, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.