GCD of 838, 148, 978, 998 Calculator

Given Input numbers are 838, 148, 978, 998

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 978 :

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

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (838, 148, 978, 998) = 2.

Given numbers are 838, 148, 978, 998

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 148 are 2 x 2 x 37

Prime factors of 978 are 2 x 3 x 163

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 838, 148, 978, 998 is 2.

Given numbers are 838, 148, 978, 998

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

Apply this formula for all numbers.

Step1:

LCM(838, 148) = 62012

GCD(838, 148) = ( 838 x 148 ) / 62012

= 838 / 148

= 838

Step2:

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

= 2 / 978

= 2

Step3:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

So, Greatest Common Divisor of 838, 148, 978, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 418, 926, 749, 702
• GCD of 752, 404, 946, 127
• GCD of 441, 246, 999, 528
• GCD of 390, 586, 356, 297
• GCD of 781, 253, 417, 314

Given numbers are 838, 148, 978, 998
The greatest common divisor of numbers 838, 148, 978, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 148, 978, 998 is 2.

1. What is the GCD of 838, 148, 978, 998?

GCD of given numbers 838, 148, 978, 998 is 2

2. How to calculate the greatest common divisor of 838, 148, 978, 998?

We can find the highest common divisor of 838, 148, 978, 998 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 838, 148, 978, 998 i.e 2.

3. How can I use the GCD of 838, 148, 978, 998Calculator?

Out the numbers 838, 148, 978, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.