GCD of 972, 214, 280, 802 Calculator

Given Input numbers are 972, 214, 280, 802

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 802 :

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

1, 2, 401, 802

GCD of numbers is the greatest common divisor

So, the GCD (972, 214, 280, 802) = 2.

Given numbers are 972, 214, 280, 802

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 214 are 2 x 107

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 802 are 2 x 401

The highest common occurrence is 2¹

Therefore, GCD of 972, 214, 280, 802 is 2.

Given numbers are 972, 214, 280, 802

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

Apply this formula for all numbers.

Step1:

LCM(972, 214) = 104004

GCD(972, 214) = ( 972 x 214 ) / 104004

= 972 / 214

= 972

Step2:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

Step3:

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

= 2 / 802

= 2

So, Greatest Common Divisor of 972, 214, 280, 802 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 388, 560, 710, 151
• GCD of 229, 195, 569, 553
• GCD of 724, 792, 434, 267
• GCD of 782, 274, 627, 755
• GCD of 167, 429, 365, 625

Given numbers are 972, 214, 280, 802
The greatest common divisor of numbers 972, 214, 280, 802 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 214, 280, 802 is 2.

1. What is the GCD of 972, 214, 280, 802?

GCD of given numbers 972, 214, 280, 802 is 2

2. How to calculate the greatest common divisor of 972, 214, 280, 802?

We can find the highest common divisor of 972, 214, 280, 802 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 972, 214, 280, 802 i.e 2.

3. How can I use the GCD of 972, 214, 280, 802Calculator?

Out the numbers 972, 214, 280, 802 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.