GCD of 696, 930, 294, 120 Calculator

Given Input numbers are 696, 930, 294, 120

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

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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

GCD of numbers is the greatest common divisor

So, the GCD (696, 930, 294, 120) = 6.

Given numbers are 696, 930, 294, 120

The list of prime factors of all numbers are

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 930 are 2 x 3 x 5 x 31

Prime factors of 294 are 2 x 3 x 7 x 7

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 696, 930, 294, 120 is 6.

Given numbers are 696, 930, 294, 120

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

Apply this formula for all numbers.

Step1:

LCM(696, 930) = 107880

GCD(696, 930) = ( 696 x 930 ) / 107880

= 696 / 930

= 696

Step2:

LCM(6, 294) = 294

GCD(6, 294) = ( 6 x 294 ) / 294

= 6 / 294

= 6

Step3:

LCM(6, 120) = 120

GCD(6, 120) = ( 6 x 120 ) / 120

= 6 / 120

= 6

So, Greatest Common Divisor of 696, 930, 294, 120 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 260, 352, 516
• GCD of 694, 552, 301, 442
• GCD of 747, 112, 593, 666
• GCD of 895, 658, 741, 497
• GCD of 501, 835, 643, 395

Given numbers are 696, 930, 294, 120
The greatest common divisor of numbers 696, 930, 294, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 930, 294, 120 is 6.

1. What is the GCD of 696, 930, 294, 120?

GCD of given numbers 696, 930, 294, 120 is 6

2. How to calculate the greatest common divisor of 696, 930, 294, 120?

We can find the highest common divisor of 696, 930, 294, 120 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 696, 930, 294, 120 i.e 6.

3. How can I use the GCD of 696, 930, 294, 120Calculator?

Out the numbers 696, 930, 294, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.