GCD of 378, 658, 210, 105 Calculator

Given Input numbers are 378, 658, 210, 105

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

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 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (378, 658, 210, 105) = 7.

Given numbers are 378, 658, 210, 105

The list of prime factors of all numbers are

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

Prime factors of 658 are 2 x 7 x 47

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 105 are 3 x 5 x 7

The highest common occurrence is 7¹

Therefore, GCD of 378, 658, 210, 105 is 7.

Given numbers are 378, 658, 210, 105

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

Apply this formula for all numbers.

Step1:

LCM(378, 658) = 17766

GCD(378, 658) = ( 378 x 658 ) / 17766

= 378 / 658

= 378

Step2:

LCM(14, 210) = 210

GCD(14, 210) = ( 14 x 210 ) / 210

= 14 / 210

= 14

Step3:

LCM(14, 105) = 210

GCD(14, 105) = ( 14 x 105 ) / 210

= 14 / 105

= 14

So, Greatest Common Divisor of 378, 658, 210, 105 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 430, 561, 828, 779
• GCD of 112, 520, 256, 708
• GCD of 417, 712, 838, 401
• GCD of 539, 363, 457, 971
• GCD of 473, 151, 595, 702

Given numbers are 378, 658, 210, 105
The greatest common divisor of numbers 378, 658, 210, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 658, 210, 105 is 7.

1. What is the GCD of 378, 658, 210, 105?

GCD of given numbers 378, 658, 210, 105 is 7

2. How to calculate the greatest common divisor of 378, 658, 210, 105?

We can find the highest common divisor of 378, 658, 210, 105 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 378, 658, 210, 105 i.e 7.

3. How can I use the GCD of 378, 658, 210, 105Calculator?

Out the numbers 378, 658, 210, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.