GCD of 674, 400, 932, 338 Calculator

Given Input numbers are 674, 400, 932, 338

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

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 932 :

The positive integer divisors of 932 that completely divides 932 are.

1, 2, 4, 233, 466, 932

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (674, 400, 932, 338) = 2.

Given numbers are 674, 400, 932, 338

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 932 are 2 x 2 x 233

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 674, 400, 932, 338 is 2.

Given numbers are 674, 400, 932, 338

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

Apply this formula for all numbers.

Step1:

LCM(674, 400) = 134800

GCD(674, 400) = ( 674 x 400 ) / 134800

= 674 / 400

= 674

Step2:

LCM(2, 932) = 932

GCD(2, 932) = ( 2 x 932 ) / 932

= 2 / 932

= 2

Step3:

LCM(2, 338) = 338

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

= 2 / 338

= 2

So, Greatest Common Divisor of 674, 400, 932, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 494, 751, 843, 678
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• GCD of 486, 450, 592, 882

Given numbers are 674, 400, 932, 338
The greatest common divisor of numbers 674, 400, 932, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 400, 932, 338 is 2.

1. What is the GCD of 674, 400, 932, 338?

GCD of given numbers 674, 400, 932, 338 is 2

2. How to calculate the greatest common divisor of 674, 400, 932, 338?

We can find the highest common divisor of 674, 400, 932, 338 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 674, 400, 932, 338 i.e 2.

3. How can I use the GCD of 674, 400, 932, 338Calculator?

Out the numbers 674, 400, 932, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.