GCD of 498, 940, 538, 356 Calculator

Given Input numbers are 498, 940, 538, 356

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 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

GCD of numbers is the greatest common divisor

So, the GCD (498, 940, 538, 356) = 2.

Given numbers are 498, 940, 538, 356

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 538 are 2 x 269

Prime factors of 356 are 2 x 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 498, 940, 538, 356 is 2.

Given numbers are 498, 940, 538, 356

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

Apply this formula for all numbers.

Step1:

LCM(498, 940) = 234060

GCD(498, 940) = ( 498 x 940 ) / 234060

= 498 / 940

= 498

Step2:

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

= 2 / 538

= 2

Step3:

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

= 2 / 356

= 2

So, Greatest Common Divisor of 498, 940, 538, 356 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 474, 216, 506, 846
• GCD of 968, 888, 370, 206
• GCD of 437, 764, 879, 650
• GCD of 479, 940, 845, 959
• GCD of 303, 141, 122, 921

Given numbers are 498, 940, 538, 356
The greatest common divisor of numbers 498, 940, 538, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 940, 538, 356 is 2.

1. What is the GCD of 498, 940, 538, 356?

GCD of given numbers 498, 940, 538, 356 is 2

2. How to calculate the greatest common divisor of 498, 940, 538, 356?

We can find the highest common divisor of 498, 940, 538, 356 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, 940, 538, 356 i.e 2.

3. How can I use the GCD of 498, 940, 538, 356Calculator?

Out the numbers 498, 940, 538, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.