GCD of 632, 780, 378, 214 Calculator

Given Input numbers are 632, 780, 378, 214

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

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 214 :

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

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (632, 780, 378, 214) = 2.

Given numbers are 632, 780, 378, 214

The list of prime factors of all numbers are

Prime factors of 632 are 2 x 2 x 2 x 79

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 632, 780, 378, 214 is 2.

Given numbers are 632, 780, 378, 214

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

Apply this formula for all numbers.

Step1:

LCM(632, 780) = 123240

GCD(632, 780) = ( 632 x 780 ) / 123240

= 632 / 780

= 632

Step2:

LCM(4, 378) = 756

GCD(4, 378) = ( 4 x 378 ) / 756

= 4 / 378

= 4

Step3:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

So, Greatest Common Divisor of 632, 780, 378, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 944, 747, 885
• GCD of 884, 336, 553, 872
• GCD of 370, 959, 999, 184
• GCD of 848, 489, 462, 271
• GCD of 356, 725, 945, 215

Given numbers are 632, 780, 378, 214
The greatest common divisor of numbers 632, 780, 378, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 632, 780, 378, 214 is 2.

1. What is the GCD of 632, 780, 378, 214?

GCD of given numbers 632, 780, 378, 214 is 2

2. How to calculate the greatest common divisor of 632, 780, 378, 214?

We can find the highest common divisor of 632, 780, 378, 214 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 632, 780, 378, 214 i.e 2.

3. How can I use the GCD of 632, 780, 378, 214Calculator?

Out the numbers 632, 780, 378, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.