GCD of 196, 504, 882, 532 Calculator

Given Input numbers are 196, 504, 882, 532

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 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

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

GCD of numbers is the greatest common divisor

So, the GCD (196, 504, 882, 532) = 14.

Given numbers are 196, 504, 882, 532

The list of prime factors of all numbers are

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

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

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

The highest common occurrence is 2¹ x 7¹

Therefore, GCD of 196, 504, 882, 532 is 14.

Given numbers are 196, 504, 882, 532

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

Apply this formula for all numbers.

Step1:

LCM(196, 504) = 3528

GCD(196, 504) = ( 196 x 504 ) / 3528

= 196 / 504

= 196

Step2:

LCM(28, 882) = 1764

GCD(28, 882) = ( 28 x 882 ) / 1764

= 28 / 882

= 28

Step3:

LCM(14, 532) = 532

GCD(14, 532) = ( 14 x 532 ) / 532

= 14 / 532

= 14

So, Greatest Common Divisor of 196, 504, 882, 532 is 14

Here are some samples of GCD of Numbers calculations.

• GCD of 968, 197, 638, 417
• GCD of 610, 852, 675, 488
• GCD of 997, 149, 517, 485
• GCD of 388, 961, 752, 970
• GCD of 926, 371, 214, 169

Given numbers are 196, 504, 882, 532
The greatest common divisor of numbers 196, 504, 882, 532 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 504, 882, 532 is 14.

1. What is the GCD of 196, 504, 882, 532?

GCD of given numbers 196, 504, 882, 532 is 14

2. How to calculate the greatest common divisor of 196, 504, 882, 532?

We can find the highest common divisor of 196, 504, 882, 532 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, 504, 882, 532 i.e 14.

3. How can I use the GCD of 196, 504, 882, 532Calculator?

Out the numbers 196, 504, 882, 532 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.