GCD of 513, 639, 690, 147 Calculator

Given Input numbers are 513, 639, 690, 147

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

Divisors of 513 :

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

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

Divisors of 639 :

The positive integer divisors of 639 that completely divides 639 are.

1, 3, 9, 71, 213, 639

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

GCD of numbers is the greatest common divisor

So, the GCD (513, 639, 690, 147) = 3.

Given numbers are 513, 639, 690, 147

The list of prime factors of all numbers are

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

Prime factors of 639 are 3 x 3 x 71

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 147 are 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 513, 639, 690, 147 is 3.

Given numbers are 513, 639, 690, 147

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

Apply this formula for all numbers.

Step1:

LCM(513, 639) = 36423

GCD(513, 639) = ( 513 x 639 ) / 36423

= 513 / 639

= 513

Step2:

LCM(9, 690) = 2070

GCD(9, 690) = ( 9 x 690 ) / 2070

= 9 / 690

= 9

Step3:

LCM(3, 147) = 147

GCD(3, 147) = ( 3 x 147 ) / 147

= 3 / 147

= 3

So, Greatest Common Divisor of 513, 639, 690, 147 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 853, 653, 124, 326
• GCD of 301, 309, 928, 204
• GCD of 166, 459, 841, 725
• GCD of 305, 307, 929, 646
• GCD of 635, 597, 792, 757

Given numbers are 513, 639, 690, 147
The greatest common divisor of numbers 513, 639, 690, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 639, 690, 147 is 3.

1. What is the GCD of 513, 639, 690, 147?

GCD of given numbers 513, 639, 690, 147 is 3

2. How to calculate the greatest common divisor of 513, 639, 690, 147?

We can find the highest common divisor of 513, 639, 690, 147 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 513, 639, 690, 147 i.e 3.

3. How can I use the GCD of 513, 639, 690, 147Calculator?

Out the numbers 513, 639, 690, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.