GCD of 738, 136, 142, 998 Calculator

Given Input numbers are 738, 136, 142, 998

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

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 (738, 136, 142, 998) = 2.

Given numbers are 738, 136, 142, 998

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 142 are 2 x 71

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 738, 136, 142, 998 is 2.

Given numbers are 738, 136, 142, 998

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

Apply this formula for all numbers.

Step1:

LCM(738, 136) = 50184

GCD(738, 136) = ( 738 x 136 ) / 50184

= 738 / 136

= 738

Step2:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

Step3:

LCM(2, 998) = 998

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

= 2 / 998

= 2

So, Greatest Common Divisor of 738, 136, 142, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 200, 907, 682
• GCD of 504, 545, 512, 743
• GCD of 720, 730, 329, 316
• GCD of 279, 440, 573, 458
• GCD of 200, 325, 564, 855

Given numbers are 738, 136, 142, 998
The greatest common divisor of numbers 738, 136, 142, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 136, 142, 998 is 2.

1. What is the GCD of 738, 136, 142, 998?

GCD of given numbers 738, 136, 142, 998 is 2

2. How to calculate the greatest common divisor of 738, 136, 142, 998?

We can find the highest common divisor of 738, 136, 142, 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 738, 136, 142, 998 i.e 2.

3. How can I use the GCD of 738, 136, 142, 998Calculator?

Out the numbers 738, 136, 142, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.