GCD of 354, 618, 898, 938 Calculator

Given Input numbers are 354, 618, 898, 938

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 898 :

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

1, 2, 449, 898

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 (354, 618, 898, 938) = 2.

Given numbers are 354, 618, 898, 938

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 618 are 2 x 3 x 103

Prime factors of 898 are 2 x 449

Prime factors of 938 are 2 x 7 x 67

The highest common occurrence is 2¹

Therefore, GCD of 354, 618, 898, 938 is 2.

Given numbers are 354, 618, 898, 938

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

Apply this formula for all numbers.

Step1:

LCM(354, 618) = 36462

GCD(354, 618) = ( 354 x 618 ) / 36462

= 354 / 618

= 354

Step2:

LCM(6, 898) = 2694

GCD(6, 898) = ( 6 x 898 ) / 2694

= 6 / 898

= 6

Step3:

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

= 2 / 938

= 2

So, Greatest Common Divisor of 354, 618, 898, 938 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 616, 307, 749
• GCD of 714, 335, 553, 513
• GCD of 636, 782, 237, 238
• GCD of 841, 774, 280, 778
• GCD of 392, 573, 203, 318

Given numbers are 354, 618, 898, 938
The greatest common divisor of numbers 354, 618, 898, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 618, 898, 938 is 2.

1. What is the GCD of 354, 618, 898, 938?

GCD of given numbers 354, 618, 898, 938 is 2

2. How to calculate the greatest common divisor of 354, 618, 898, 938?

We can find the highest common divisor of 354, 618, 898, 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 354, 618, 898, 938 i.e 2.

3. How can I use the GCD of 354, 618, 898, 938Calculator?

Out the numbers 354, 618, 898, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.