GCD of 946, 948, 514, 804 Calculator

Given Input numbers are 946, 948, 514, 804

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

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

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 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

GCD of numbers is the greatest common divisor

So, the GCD (946, 948, 514, 804) = 2.

Given numbers are 946, 948, 514, 804

The list of prime factors of all numbers are

Prime factors of 946 are 2 x 11 x 43

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

Prime factors of 514 are 2 x 257

Prime factors of 804 are 2 x 2 x 3 x 67

The highest common occurrence is 2¹

Therefore, GCD of 946, 948, 514, 804 is 2.

Given numbers are 946, 948, 514, 804

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

Apply this formula for all numbers.

Step1:

LCM(946, 948) = 448404

GCD(946, 948) = ( 946 x 948 ) / 448404

= 946 / 948

= 946

Step2:

LCM(2, 514) = 514

GCD(2, 514) = ( 2 x 514 ) / 514

= 2 / 514

= 2

Step3:

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

= 2 / 804

= 2

So, Greatest Common Divisor of 946, 948, 514, 804 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 909, 769, 766
• GCD of 141, 197, 832, 256
• GCD of 404, 689, 845, 463
• GCD of 437, 766, 641, 207
• GCD of 918, 865, 277, 918

Given numbers are 946, 948, 514, 804
The greatest common divisor of numbers 946, 948, 514, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 946, 948, 514, 804 is 2.

1. What is the GCD of 946, 948, 514, 804?

GCD of given numbers 946, 948, 514, 804 is 2

2. How to calculate the greatest common divisor of 946, 948, 514, 804?

We can find the highest common divisor of 946, 948, 514, 804 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 946, 948, 514, 804 i.e 2.

3. How can I use the GCD of 946, 948, 514, 804Calculator?

Out the numbers 946, 948, 514, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.