GCD of 948, 956, 488, 214 Calculator

Given Input numbers are 948, 956, 488, 214

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 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (948, 956, 488, 214) = 2.

Given numbers are 948, 956, 488, 214

The list of prime factors of all numbers are

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

Prime factors of 956 are 2 x 2 x 239

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 948, 956, 488, 214 is 2.

Given numbers are 948, 956, 488, 214

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

Apply this formula for all numbers.

Step1:

LCM(948, 956) = 226572

GCD(948, 956) = ( 948 x 956 ) / 226572

= 948 / 956

= 948

Step2:

LCM(4, 488) = 488

GCD(4, 488) = ( 4 x 488 ) / 488

= 4 / 488

= 4

Step3:

LCM(4, 214) = 428

GCD(4, 214) = ( 4 x 214 ) / 428

= 4 / 214

= 4

So, Greatest Common Divisor of 948, 956, 488, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 797, 455, 930, 950
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Given numbers are 948, 956, 488, 214
The greatest common divisor of numbers 948, 956, 488, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 956, 488, 214 is 2.

1. What is the GCD of 948, 956, 488, 214?

GCD of given numbers 948, 956, 488, 214 is 2

2. How to calculate the greatest common divisor of 948, 956, 488, 214?

We can find the highest common divisor of 948, 956, 488, 214 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, 956, 488, 214 i.e 2.

3. How can I use the GCD of 948, 956, 488, 214Calculator?

Out the numbers 948, 956, 488, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.