GCD of 814, 748, 537, 801 Calculator

Given Input numbers are 814, 748, 537, 801

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

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 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

GCD of numbers is the greatest common divisor

So, the GCD (814, 748, 537, 801) = 1.

Given numbers are 814, 748, 537, 801

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

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

Prime factors of 537 are 3 x 179

Prime factors of 801 are 3 x 3 x 89

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

Given numbers are 814, 748, 537, 801

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

Apply this formula for all numbers.

Step1:

LCM(814, 748) = 27676

GCD(814, 748) = ( 814 x 748 ) / 27676

= 814 / 748

= 814

Step2:

LCM(22, 537) = 11814

GCD(22, 537) = ( 22 x 537 ) / 11814

= 22 / 537

= 22

Step3:

LCM(1, 801) = 801

GCD(1, 801) = ( 1 x 801 ) / 801

= 1 / 801

= 1

So, Greatest Common Divisor of 814, 748, 537, 801 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 131, 595, 212
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• GCD of 199, 852, 971, 481
• GCD of 749, 484, 428, 127
• GCD of 809, 796, 915, 728

Given numbers are 814, 748, 537, 801
The greatest common divisor of numbers 814, 748, 537, 801 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 748, 537, 801 is 1.

1. What is the GCD of 814, 748, 537, 801?

GCD of given numbers 814, 748, 537, 801 is 1

2. How to calculate the greatest common divisor of 814, 748, 537, 801?

We can find the highest common divisor of 814, 748, 537, 801 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 814, 748, 537, 801 i.e 1.

3. How can I use the GCD of 814, 748, 537, 801Calculator?

Out the numbers 814, 748, 537, 801 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.