GCD of 946, 376, 338, 402 Calculator

Given Input numbers are 946, 376, 338, 402

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 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (946, 376, 338, 402) = 2.

Given numbers are 946, 376, 338, 402

The list of prime factors of all numbers are

Prime factors of 946 are 2 x 11 x 43

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 338 are 2 x 13 x 13

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 2¹

Therefore, GCD of 946, 376, 338, 402 is 2.

Given numbers are 946, 376, 338, 402

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

Apply this formula for all numbers.

Step1:

LCM(946, 376) = 177848

GCD(946, 376) = ( 946 x 376 ) / 177848

= 946 / 376

= 946

Step2:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

Step3:

LCM(2, 402) = 402

GCD(2, 402) = ( 2 x 402 ) / 402

= 2 / 402

= 2

So, Greatest Common Divisor of 946, 376, 338, 402 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 318, 836, 431, 246
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Given numbers are 946, 376, 338, 402
The greatest common divisor of numbers 946, 376, 338, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 946, 376, 338, 402 is 2.

1. What is the GCD of 946, 376, 338, 402?

GCD of given numbers 946, 376, 338, 402 is 2

2. How to calculate the greatest common divisor of 946, 376, 338, 402?

We can find the highest common divisor of 946, 376, 338, 402 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, 376, 338, 402 i.e 2.

3. How can I use the GCD of 946, 376, 338, 402Calculator?

Out the numbers 946, 376, 338, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.