GCD of 334, 748, 398, 958 Calculator

Given Input numbers are 334, 748, 398, 958

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

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

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 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

GCD of numbers is the greatest common divisor

So, the GCD (334, 748, 398, 958) = 2.

Given numbers are 334, 748, 398, 958

The list of prime factors of all numbers are

Prime factors of 334 are 2 x 167

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

Prime factors of 398 are 2 x 199

Prime factors of 958 are 2 x 479

The highest common occurrence is 2¹

Therefore, GCD of 334, 748, 398, 958 is 2.

Given numbers are 334, 748, 398, 958

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

Apply this formula for all numbers.

Step1:

LCM(334, 748) = 124916

GCD(334, 748) = ( 334 x 748 ) / 124916

= 334 / 748

= 334

Step2:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

Step3:

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

= 2 / 958

= 2

So, Greatest Common Divisor of 334, 748, 398, 958 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 351, 682, 373
• GCD of 881, 105, 897, 618
• GCD of 957, 448, 441, 609
• GCD of 685, 724, 729, 562
• GCD of 147, 536, 960, 358

Given numbers are 334, 748, 398, 958
The greatest common divisor of numbers 334, 748, 398, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 334, 748, 398, 958 is 2.

1. What is the GCD of 334, 748, 398, 958?

GCD of given numbers 334, 748, 398, 958 is 2

2. How to calculate the greatest common divisor of 334, 748, 398, 958?

We can find the highest common divisor of 334, 748, 398, 958 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 334, 748, 398, 958 i.e 2.

3. How can I use the GCD of 334, 748, 398, 958Calculator?

Out the numbers 334, 748, 398, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.