GCD of 938, 978, 986, 538 Calculator

Given Input numbers are 938, 978, 986, 538

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

Divisors of 938 :

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

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

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 538 :

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

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (938, 978, 986, 538) = 2.

Given numbers are 938, 978, 986, 538

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 978 are 2 x 3 x 163

Prime factors of 986 are 2 x 17 x 29

Prime factors of 538 are 2 x 269

The highest common occurrence is 2¹

Therefore, GCD of 938, 978, 986, 538 is 2.

Given numbers are 938, 978, 986, 538

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

Apply this formula for all numbers.

Step1:

LCM(938, 978) = 458682

GCD(938, 978) = ( 938 x 978 ) / 458682

= 938 / 978

= 938

Step2:

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

= 2 / 986

= 2

Step3:

LCM(2, 538) = 538

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

= 2 / 538

= 2

So, Greatest Common Divisor of 938, 978, 986, 538 is 2

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Given numbers are 938, 978, 986, 538
The greatest common divisor of numbers 938, 978, 986, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 978, 986, 538 is 2.

1. What is the GCD of 938, 978, 986, 538?

GCD of given numbers 938, 978, 986, 538 is 2

2. How to calculate the greatest common divisor of 938, 978, 986, 538?

We can find the highest common divisor of 938, 978, 986, 538 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 938, 978, 986, 538 i.e 2.

3. How can I use the GCD of 938, 978, 986, 538Calculator?

Out the numbers 938, 978, 986, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.