GCD of 158, 402, 996, 314 Calculator

Given Input numbers are 158, 402, 996, 314

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

Divisors of 158 :

The positive integer divisors of 158 that completely divides 158 are.

1, 2, 79, 158

Divisors of 402 :

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

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

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (158, 402, 996, 314) = 2.

Given numbers are 158, 402, 996, 314

The list of prime factors of all numbers are

Prime factors of 158 are 2 x 79

Prime factors of 402 are 2 x 3 x 67

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 158, 402, 996, 314 is 2.

Given numbers are 158, 402, 996, 314

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

Apply this formula for all numbers.

Step1:

LCM(158, 402) = 31758

GCD(158, 402) = ( 158 x 402 ) / 31758

= 158 / 402

= 158

Step2:

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

= 2 / 996

= 2

Step3:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

So, Greatest Common Divisor of 158, 402, 996, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 836, 517, 450, 150
• GCD of 933, 526, 814, 454
• GCD of 399, 804, 251, 124
• GCD of 369, 407, 710, 573
• GCD of 244, 725, 536, 700

Given numbers are 158, 402, 996, 314
The greatest common divisor of numbers 158, 402, 996, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 158, 402, 996, 314 is 2.

1. What is the GCD of 158, 402, 996, 314?

GCD of given numbers 158, 402, 996, 314 is 2

2. How to calculate the greatest common divisor of 158, 402, 996, 314?

We can find the highest common divisor of 158, 402, 996, 314 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 158, 402, 996, 314 i.e 2.

3. How can I use the GCD of 158, 402, 996, 314Calculator?

Out the numbers 158, 402, 996, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.