GCD of 914, 694, 120, 320 Calculator

Given Input numbers are 914, 694, 120, 320

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

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (914, 694, 120, 320) = 2.

Given numbers are 914, 694, 120, 320

The list of prime factors of all numbers are

Prime factors of 914 are 2 x 457

Prime factors of 694 are 2 x 347

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 914, 694, 120, 320 is 2.

Given numbers are 914, 694, 120, 320

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

Apply this formula for all numbers.

Step1:

LCM(914, 694) = 317158

GCD(914, 694) = ( 914 x 694 ) / 317158

= 914 / 694

= 914

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2

So, Greatest Common Divisor of 914, 694, 120, 320 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 303, 853, 926, 662
• GCD of 285, 426, 404, 124
• GCD of 774, 206, 366, 594
• GCD of 485, 965, 571, 831
• GCD of 243, 964, 257, 126

Given numbers are 914, 694, 120, 320
The greatest common divisor of numbers 914, 694, 120, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 914, 694, 120, 320 is 2.

1. What is the GCD of 914, 694, 120, 320?

GCD of given numbers 914, 694, 120, 320 is 2

2. How to calculate the greatest common divisor of 914, 694, 120, 320?

We can find the highest common divisor of 914, 694, 120, 320 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 914, 694, 120, 320 i.e 2.

3. How can I use the GCD of 914, 694, 120, 320Calculator?

Out the numbers 914, 694, 120, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.