GCD of 402, 513, 942, 588 Calculator

Given Input numbers are 402, 513, 942, 588

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

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 513 :

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

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

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

GCD of numbers is the greatest common divisor

So, the GCD (402, 513, 942, 588) = 3.

Given numbers are 402, 513, 942, 588

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

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

Prime factors of 942 are 2 x 3 x 157

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 402, 513, 942, 588 is 3.

Given numbers are 402, 513, 942, 588

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

Apply this formula for all numbers.

Step1:

LCM(402, 513) = 68742

GCD(402, 513) = ( 402 x 513 ) / 68742

= 402 / 513

= 402

Step2:

LCM(3, 942) = 942

GCD(3, 942) = ( 3 x 942 ) / 942

= 3 / 942

= 3

Step3:

LCM(3, 588) = 588

GCD(3, 588) = ( 3 x 588 ) / 588

= 3 / 588

= 3

So, Greatest Common Divisor of 402, 513, 942, 588 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 578, 356, 599
• GCD of 115, 196, 476, 533
• GCD of 626, 814, 915, 325
• GCD of 693, 313, 947, 205
• GCD of 365, 828, 683, 381

Given numbers are 402, 513, 942, 588
The greatest common divisor of numbers 402, 513, 942, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 513, 942, 588 is 3.

1. What is the GCD of 402, 513, 942, 588?

GCD of given numbers 402, 513, 942, 588 is 3

2. How to calculate the greatest common divisor of 402, 513, 942, 588?

We can find the highest common divisor of 402, 513, 942, 588 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 402, 513, 942, 588 i.e 3.

3. How can I use the GCD of 402, 513, 942, 588Calculator?

Out the numbers 402, 513, 942, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.