GCD of 105, 215, 630, 670 Calculator

Given Input numbers are 105, 215, 630, 670

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

Divisors of 105 :

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

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

Divisors of 215 :

The positive integer divisors of 215 that completely divides 215 are.

1, 5, 43, 215

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

GCD of numbers is the greatest common divisor

So, the GCD (105, 215, 630, 670) = 5.

Given numbers are 105, 215, 630, 670

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 215 are 5 x 43

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 670 are 2 x 5 x 67

The highest common occurrence is 5¹

Therefore, GCD of 105, 215, 630, 670 is 5.

Given numbers are 105, 215, 630, 670

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

Apply this formula for all numbers.

Step1:

LCM(105, 215) = 4515

GCD(105, 215) = ( 105 x 215 ) / 4515

= 105 / 215

= 105

Step2:

LCM(5, 630) = 630

GCD(5, 630) = ( 5 x 630 ) / 630

= 5 / 630

= 5

Step3:

LCM(5, 670) = 670

GCD(5, 670) = ( 5 x 670 ) / 670

= 5 / 670

= 5

So, Greatest Common Divisor of 105, 215, 630, 670 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 472, 755, 452, 786
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• GCD of 585, 211, 812, 473

Given numbers are 105, 215, 630, 670
The greatest common divisor of numbers 105, 215, 630, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 215, 630, 670 is 5.

1. What is the GCD of 105, 215, 630, 670?

GCD of given numbers 105, 215, 630, 670 is 5

2. How to calculate the greatest common divisor of 105, 215, 630, 670?

We can find the highest common divisor of 105, 215, 630, 670 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 105, 215, 630, 670 i.e 5.

3. How can I use the GCD of 105, 215, 630, 670Calculator?

Out the numbers 105, 215, 630, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.