GCD of 336, 148, 748, 898 Calculator

Given Input numbers are 336, 148, 748, 898

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 148 :

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

1, 2, 4, 37, 74, 148

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (336, 148, 748, 898) = 2.

Given numbers are 336, 148, 748, 898

The list of prime factors of all numbers are

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 148 are 2 x 2 x 37

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 898 are 2 x 449

The highest common occurrence is 2¹

Therefore, GCD of 336, 148, 748, 898 is 2.

Given numbers are 336, 148, 748, 898

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

Apply this formula for all numbers.

Step1:

LCM(336, 148) = 12432

GCD(336, 148) = ( 336 x 148 ) / 12432

= 336 / 148

= 336

Step2:

LCM(4, 748) = 748

GCD(4, 748) = ( 4 x 748 ) / 748

= 4 / 748

= 4

Step3:

LCM(4, 898) = 1796

GCD(4, 898) = ( 4 x 898 ) / 1796

= 4 / 898

= 4

So, Greatest Common Divisor of 336, 148, 748, 898 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 956, 209, 637
• GCD of 335, 145, 705, 177
• GCD of 783, 686, 825, 723
• GCD of 212, 348, 692, 149
• GCD of 683, 100, 106, 748

Given numbers are 336, 148, 748, 898
The greatest common divisor of numbers 336, 148, 748, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 148, 748, 898 is 2.

1. What is the GCD of 336, 148, 748, 898?

GCD of given numbers 336, 148, 748, 898 is 2

2. How to calculate the greatest common divisor of 336, 148, 748, 898?

We can find the highest common divisor of 336, 148, 748, 898 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 336, 148, 748, 898 i.e 2.

3. How can I use the GCD of 336, 148, 748, 898Calculator?

Out the numbers 336, 148, 748, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.