GCD of 398, 142, 764 Calculator

Given Input numbers are 398, 142, 764

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

GCD of numbers is the greatest common divisor

So, the GCD (398, 142, 764) = 2.

Given numbers are 398, 142, 764

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 142 are 2 x 71

Prime factors of 764 are 2 x 2 x 191

The highest common occurrence is 2¹

Therefore, GCD of 398, 142, 764 is 2.

Given numbers are 398, 142, 764

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

Apply this formula for all numbers.

Step1:

LCM(398, 142) = 28258

GCD(398, 142) = ( 398 x 142 ) / 28258

= 398 / 142

= 398

Step2:

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

= 2 / 764

= 2

So, Greatest Common Divisor of 398, 142, 764 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 715, 461
• GCD of 454, 973, 442
• GCD of 823, 964, 857
• GCD of 378, 249, 496
• GCD of 501, 603, 142

Given numbers are 398, 142, 764
The greatest common divisor of numbers 398, 142, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 142, 764 is 2.

1. What is the GCD of 398, 142, 764?

GCD of given numbers 398, 142, 764 is 2

2. How to calculate the greatest common divisor of 398, 142, 764?

We can find the highest common divisor of 398, 142, 764 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 398, 142, 764 i.e 2.

3. How can I use the GCD of 398, 142, 764Calculator?

Out the numbers 398, 142, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.