GCD of 294, 532, 802, 120 Calculator

Given Input numbers are 294, 532, 802, 120

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

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 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

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 (294, 532, 802, 120) = 2.

Given numbers are 294, 532, 802, 120

The list of prime factors of all numbers are

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

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 802 are 2 x 401

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

The highest common occurrence is 2¹

Therefore, GCD of 294, 532, 802, 120 is 2.

Given numbers are 294, 532, 802, 120

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

Apply this formula for all numbers.

Step1:

LCM(294, 532) = 11172

GCD(294, 532) = ( 294 x 532 ) / 11172

= 294 / 532

= 294

Step2:

LCM(14, 802) = 5614

GCD(14, 802) = ( 14 x 802 ) / 5614

= 14 / 802

= 14

Step3:

LCM(2, 120) = 120

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

= 2 / 120

= 2

So, Greatest Common Divisor of 294, 532, 802, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 832, 342, 967, 170
• GCD of 740, 296, 966, 567
• GCD of 595, 211, 923, 908
• GCD of 773, 124, 203, 943
• GCD of 517, 391, 204, 472

Given numbers are 294, 532, 802, 120
The greatest common divisor of numbers 294, 532, 802, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 532, 802, 120 is 2.

1. What is the GCD of 294, 532, 802, 120?

GCD of given numbers 294, 532, 802, 120 is 2

2. How to calculate the greatest common divisor of 294, 532, 802, 120?

We can find the highest common divisor of 294, 532, 802, 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 294, 532, 802, 120 i.e 2.

3. How can I use the GCD of 294, 532, 802, 120Calculator?

Out the numbers 294, 532, 802, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.