GCD of 196, 450, 972, 782 Calculator

Given Input numbers are 196, 450, 972, 782

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

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

GCD of numbers is the greatest common divisor

So, the GCD (196, 450, 972, 782) = 2.

Given numbers are 196, 450, 972, 782

The list of prime factors of all numbers are

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

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

Prime factors of 782 are 2 x 17 x 23

The highest common occurrence is 2¹

Therefore, GCD of 196, 450, 972, 782 is 2.

Given numbers are 196, 450, 972, 782

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

Apply this formula for all numbers.

Step1:

LCM(196, 450) = 44100

GCD(196, 450) = ( 196 x 450 ) / 44100

= 196 / 450

= 196

Step2:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

Step3:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

So, Greatest Common Divisor of 196, 450, 972, 782 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 706, 680, 487, 485
• GCD of 354, 610, 641, 963
• GCD of 545, 377, 649, 468
• GCD of 195, 976, 655, 676
• GCD of 620, 370, 357, 634

Given numbers are 196, 450, 972, 782
The greatest common divisor of numbers 196, 450, 972, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 450, 972, 782 is 2.

1. What is the GCD of 196, 450, 972, 782?

GCD of given numbers 196, 450, 972, 782 is 2

2. How to calculate the greatest common divisor of 196, 450, 972, 782?

We can find the highest common divisor of 196, 450, 972, 782 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 196, 450, 972, 782 i.e 2.

3. How can I use the GCD of 196, 450, 972, 782Calculator?

Out the numbers 196, 450, 972, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.