GCD of 948, 448, 494, 460 Calculator

Given Input numbers are 948, 448, 494, 460

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

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

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

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

GCD of numbers is the greatest common divisor

So, the GCD (948, 448, 494, 460) = 2.

Given numbers are 948, 448, 494, 460

The list of prime factors of all numbers are

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

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 494 are 2 x 13 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 948, 448, 494, 460 is 2.

Given numbers are 948, 448, 494, 460

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

Apply this formula for all numbers.

Step1:

LCM(948, 448) = 106176

GCD(948, 448) = ( 948 x 448 ) / 106176

= 948 / 448

= 948

Step2:

LCM(4, 494) = 988

GCD(4, 494) = ( 4 x 494 ) / 988

= 4 / 494

= 4

Step3:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

So, Greatest Common Divisor of 948, 448, 494, 460 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 291, 815, 388
• GCD of 598, 292, 868, 762
• GCD of 845, 670, 619, 254
• GCD of 662, 324, 401, 110
• GCD of 396, 880, 550, 558

Given numbers are 948, 448, 494, 460
The greatest common divisor of numbers 948, 448, 494, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 448, 494, 460 is 2.

1. What is the GCD of 948, 448, 494, 460?

GCD of given numbers 948, 448, 494, 460 is 2

2. How to calculate the greatest common divisor of 948, 448, 494, 460?

We can find the highest common divisor of 948, 448, 494, 460 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 948, 448, 494, 460 i.e 2.

3. How can I use the GCD of 948, 448, 494, 460Calculator?

Out the numbers 948, 448, 494, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.