GCD of 150, 676, 556, 314 Calculator

Given Input numbers are 150, 676, 556, 314

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

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 (150, 676, 556, 314) = 2.

Given numbers are 150, 676, 556, 314

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 556 are 2 x 2 x 139

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 150, 676, 556, 314 is 2.

Given numbers are 150, 676, 556, 314

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

Apply this formula for all numbers.

Step1:

LCM(150, 676) = 50700

GCD(150, 676) = ( 150 x 676 ) / 50700

= 150 / 676

= 150

Step2:

LCM(2, 556) = 556

GCD(2, 556) = ( 2 x 556 ) / 556

= 2 / 556

= 2

Step3:

LCM(2, 314) = 314

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

= 2 / 314

= 2

So, Greatest Common Divisor of 150, 676, 556, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 270, 576, 715
• GCD of 192, 544, 873, 952
• GCD of 736, 956, 198, 672
• GCD of 189, 224, 954, 982
• GCD of 413, 382, 944, 220

Given numbers are 150, 676, 556, 314
The greatest common divisor of numbers 150, 676, 556, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 676, 556, 314 is 2.

1. What is the GCD of 150, 676, 556, 314?

GCD of given numbers 150, 676, 556, 314 is 2

2. How to calculate the greatest common divisor of 150, 676, 556, 314?

We can find the highest common divisor of 150, 676, 556, 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 150, 676, 556, 314 i.e 2.

3. How can I use the GCD of 150, 676, 556, 314Calculator?

Out the numbers 150, 676, 556, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.