GCD of 714, 813, 210, 153 Calculator

Given Input numbers are 714, 813, 210, 153

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

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 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

GCD of numbers is the greatest common divisor

So, the GCD (714, 813, 210, 153) = 3.

Given numbers are 714, 813, 210, 153

The list of prime factors of all numbers are

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 813 are 3 x 271

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

Prime factors of 153 are 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 714, 813, 210, 153 is 3.

Given numbers are 714, 813, 210, 153

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

Apply this formula for all numbers.

Step1:

LCM(714, 813) = 193494

GCD(714, 813) = ( 714 x 813 ) / 193494

= 714 / 813

= 714

Step2:

LCM(3, 210) = 210

GCD(3, 210) = ( 3 x 210 ) / 210

= 3 / 210

= 3

Step3:

LCM(3, 153) = 153

GCD(3, 153) = ( 3 x 153 ) / 153

= 3 / 153

= 3

So, Greatest Common Divisor of 714, 813, 210, 153 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 244, 559, 288
• GCD of 773, 546, 227, 217
• GCD of 965, 635, 817, 858
• GCD of 171, 531, 344, 646
• GCD of 186, 176, 105, 318

Given numbers are 714, 813, 210, 153
The greatest common divisor of numbers 714, 813, 210, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 813, 210, 153 is 3.

1. What is the GCD of 714, 813, 210, 153?

GCD of given numbers 714, 813, 210, 153 is 3

2. How to calculate the greatest common divisor of 714, 813, 210, 153?

We can find the highest common divisor of 714, 813, 210, 153 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 714, 813, 210, 153 i.e 3.

3. How can I use the GCD of 714, 813, 210, 153Calculator?

Out the numbers 714, 813, 210, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.