GCD of 521, 498, 109, 938 Calculator

Given Input numbers are 521, 498, 109, 938

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

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

Divisors of 498 :

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

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

GCD of numbers is the greatest common divisor

So, the GCD (521, 498, 109, 938) = 1.

Given numbers are 521, 498, 109, 938

The list of prime factors of all numbers are

Prime factors of 521 are 521

Prime factors of 498 are 2 x 3 x 83

Prime factors of 109 are 109

Prime factors of 938 are 2 x 7 x 67

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

Given numbers are 521, 498, 109, 938

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

Apply this formula for all numbers.

Step1:

LCM(521, 498) = 259458

GCD(521, 498) = ( 521 x 498 ) / 259458

= 521 / 498

= 521

Step2:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

Step3:

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

= 1 / 938

= 1

So, Greatest Common Divisor of 521, 498, 109, 938 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 741, 474, 939
• GCD of 644, 382, 381, 310
• GCD of 399, 339, 519, 750
• GCD of 763, 531, 677, 471
• GCD of 402, 379, 599, 186

Given numbers are 521, 498, 109, 938
The greatest common divisor of numbers 521, 498, 109, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 521, 498, 109, 938 is 1.

1. What is the GCD of 521, 498, 109, 938?

GCD of given numbers 521, 498, 109, 938 is 1

2. How to calculate the greatest common divisor of 521, 498, 109, 938?

We can find the highest common divisor of 521, 498, 109, 938 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 521, 498, 109, 938 i.e 1.

3. How can I use the GCD of 521, 498, 109, 938Calculator?

Out the numbers 521, 498, 109, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.