GCD of 460, 838, 384, 948 Calculator

Given Input numbers are 460, 838, 384, 948

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 838 :

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

1, 2, 419, 838

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

GCD of numbers is the greatest common divisor

So, the GCD (460, 838, 384, 948) = 2.

Given numbers are 460, 838, 384, 948

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 838 are 2 x 419

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 948 are 2 x 2 x 3 x 79

The highest common occurrence is 2¹

Therefore, GCD of 460, 838, 384, 948 is 2.

Given numbers are 460, 838, 384, 948

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

Apply this formula for all numbers.

Step1:

LCM(460, 838) = 192740

GCD(460, 838) = ( 460 x 838 ) / 192740

= 460 / 838

= 460

Step2:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

Step3:

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

= 2 / 948

= 2

So, Greatest Common Divisor of 460, 838, 384, 948 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 284, 407, 866
• GCD of 454, 248, 741, 571
• GCD of 525, 586, 519, 380
• GCD of 954, 421, 190, 290
• GCD of 692, 314, 367, 147

Given numbers are 460, 838, 384, 948
The greatest common divisor of numbers 460, 838, 384, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 838, 384, 948 is 2.

1. What is the GCD of 460, 838, 384, 948?

GCD of given numbers 460, 838, 384, 948 is 2

2. How to calculate the greatest common divisor of 460, 838, 384, 948?

We can find the highest common divisor of 460, 838, 384, 948 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 460, 838, 384, 948 i.e 2.

3. How can I use the GCD of 460, 838, 384, 948Calculator?

Out the numbers 460, 838, 384, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.