GCD of 498, 164, 402, 988 Calculator

Given Input numbers are 498, 164, 402, 988

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 402 :

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

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

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

GCD of numbers is the greatest common divisor

So, the GCD (498, 164, 402, 988) = 2.

Given numbers are 498, 164, 402, 988

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 164 are 2 x 2 x 41

Prime factors of 402 are 2 x 3 x 67

Prime factors of 988 are 2 x 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 498, 164, 402, 988 is 2.

Given numbers are 498, 164, 402, 988

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

Apply this formula for all numbers.

Step1:

LCM(498, 164) = 40836

GCD(498, 164) = ( 498 x 164 ) / 40836

= 498 / 164

= 498

Step2:

LCM(2, 402) = 402

GCD(2, 402) = ( 2 x 402 ) / 402

= 2 / 402

= 2

Step3:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

So, Greatest Common Divisor of 498, 164, 402, 988 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 712, 945, 397
• GCD of 388, 261, 265, 161
• GCD of 227, 335, 190, 940
• GCD of 695, 391, 207, 993
• GCD of 249, 341, 972, 934

Given numbers are 498, 164, 402, 988
The greatest common divisor of numbers 498, 164, 402, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 164, 402, 988 is 2.

1. What is the GCD of 498, 164, 402, 988?

GCD of given numbers 498, 164, 402, 988 is 2

2. How to calculate the greatest common divisor of 498, 164, 402, 988?

We can find the highest common divisor of 498, 164, 402, 988 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 498, 164, 402, 988 i.e 2.

3. How can I use the GCD of 498, 164, 402, 988Calculator?

Out the numbers 498, 164, 402, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.