GCD of 402, 174, 741 Calculator

Given Input numbers are 402, 174, 741

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

Divisors of 402 :

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

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

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

GCD of numbers is the greatest common divisor

So, the GCD (402, 174, 741) = 3.

Given numbers are 402, 174, 741

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 174 are 2 x 3 x 29

Prime factors of 741 are 3 x 13 x 19

The highest common occurrence is 3¹

Therefore, GCD of 402, 174, 741 is 3.

Given numbers are 402, 174, 741

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

Apply this formula for all numbers.

Step1:

LCM(402, 174) = 11658

GCD(402, 174) = ( 402 x 174 ) / 11658

= 402 / 174

= 402

Step2:

LCM(6, 741) = 1482

GCD(6, 741) = ( 6 x 741 ) / 1482

= 6 / 741

= 6

So, Greatest Common Divisor of 402, 174, 741 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 811, 432
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• GCD of 420, 155, 239
• GCD of 524, 285, 911
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Given numbers are 402, 174, 741
The greatest common divisor of numbers 402, 174, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 174, 741 is 3.

1. What is the GCD of 402, 174, 741?

GCD of given numbers 402, 174, 741 is 3

2. How to calculate the greatest common divisor of 402, 174, 741?

We can find the highest common divisor of 402, 174, 741 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 402, 174, 741 i.e 3.

3. How can I use the GCD of 402, 174, 741Calculator?

Out the numbers 402, 174, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.