GCD of 948, 590, 42, 724 Calculator

Given Input numbers are 948, 590, 42, 724

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 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (948, 590, 42, 724) = 2.

Given numbers are 948, 590, 42, 724

The list of prime factors of all numbers are

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

Prime factors of 590 are 2 x 5 x 59

Prime factors of 42 are 2 x 3 x 7

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 948, 590, 42, 724 is 2.

Given numbers are 948, 590, 42, 724

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

Apply this formula for all numbers.

Step1:

LCM(948, 590) = 279660

GCD(948, 590) = ( 948 x 590 ) / 279660

= 948 / 590

= 948

Step2:

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

= 2 / 42

= 2

Step3:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

So, Greatest Common Divisor of 948, 590, 42, 724 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 951, 450, 32, 554
• GCD of 169, 998, 49, 435
• GCD of 333, 177, 52, 423
• GCD of 658, 321, 91, 882
• GCD of 133, 852, 37, 613

Given numbers are 948, 590, 42, 724
The greatest common divisor of numbers 948, 590, 42, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 590, 42, 724 is 2.

1. What is the GCD of 948, 590, 42, 724?

GCD of given numbers 948, 590, 42, 724 is 2

2. How to calculate the greatest common divisor of 948, 590, 42, 724?

We can find the highest common divisor of 948, 590, 42, 724 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, 590, 42, 724 i.e 2.

3. How can I use the GCD of 948, 590, 42, 724Calculator?

Out the numbers 948, 590, 42, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.