GCD of 350, 235, 500, 645 Calculator

Given Input numbers are 350, 235, 500, 645

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

GCD of numbers is the greatest common divisor

So, the GCD (350, 235, 500, 645) = 5.

Given numbers are 350, 235, 500, 645

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 235 are 5 x 47

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 645 are 3 x 5 x 43

The highest common occurrence is 5¹

Therefore, GCD of 350, 235, 500, 645 is 5.

Given numbers are 350, 235, 500, 645

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

Apply this formula for all numbers.

Step1:

LCM(350, 235) = 16450

GCD(350, 235) = ( 350 x 235 ) / 16450

= 350 / 235

= 350

Step2:

LCM(5, 500) = 500

GCD(5, 500) = ( 5 x 500 ) / 500

= 5 / 500

= 5

Step3:

LCM(5, 645) = 645

GCD(5, 645) = ( 5 x 645 ) / 645

= 5 / 645

= 5

So, Greatest Common Divisor of 350, 235, 500, 645 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 317, 514, 110, 692
• GCD of 263, 802, 588, 696
• GCD of 305, 968, 831, 674
• GCD of 915, 588, 969, 688
• GCD of 938, 293, 640, 136

Given numbers are 350, 235, 500, 645
The greatest common divisor of numbers 350, 235, 500, 645 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 235, 500, 645 is 5.

1. What is the GCD of 350, 235, 500, 645?

GCD of given numbers 350, 235, 500, 645 is 5

2. How to calculate the greatest common divisor of 350, 235, 500, 645?

We can find the highest common divisor of 350, 235, 500, 645 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 350, 235, 500, 645 i.e 5.

3. How can I use the GCD of 350, 235, 500, 645Calculator?

Out the numbers 350, 235, 500, 645 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.