GCD of 698, 229, 814, 513 Calculator

Given Input numbers are 698, 229, 814, 513

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

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 229 :

The positive integer divisors of 229 that completely divides 229 are.

1, 229

Divisors of 814 :

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

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

GCD of numbers is the greatest common divisor

So, the GCD (698, 229, 814, 513) = 1.

Given numbers are 698, 229, 814, 513

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 229 are 229

Prime factors of 814 are 2 x 11 x 37

Prime factors of 513 are 3 x 3 x 3 x 19

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

Given numbers are 698, 229, 814, 513

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

Apply this formula for all numbers.

Step1:

LCM(698, 229) = 159842

GCD(698, 229) = ( 698 x 229 ) / 159842

= 698 / 229

= 698

Step2:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

Step3:

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

= 1 / 513

= 1

So, Greatest Common Divisor of 698, 229, 814, 513 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 305, 248, 271
• GCD of 895, 688, 336, 646
• GCD of 791, 810, 632, 924
• GCD of 705, 991, 441, 213
• GCD of 994, 897, 839, 772

Given numbers are 698, 229, 814, 513
The greatest common divisor of numbers 698, 229, 814, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 229, 814, 513 is 1.

1. What is the GCD of 698, 229, 814, 513?

GCD of given numbers 698, 229, 814, 513 is 1

2. How to calculate the greatest common divisor of 698, 229, 814, 513?

We can find the highest common divisor of 698, 229, 814, 513 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 698, 229, 814, 513 i.e 1.

3. How can I use the GCD of 698, 229, 814, 513Calculator?

Out the numbers 698, 229, 814, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.