GCD of 305, 345, 70, 940 Calculator

Given Input numbers are 305, 345, 70, 940

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

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 70 :

The positive integer divisors of 70 that completely divides 70 are.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (305, 345, 70, 940) = 5.

Given numbers are 305, 345, 70, 940

The list of prime factors of all numbers are

Prime factors of 305 are 5 x 61

Prime factors of 345 are 3 x 5 x 23

Prime factors of 70 are 2 x 5 x 7

Prime factors of 940 are 2 x 2 x 5 x 47

The highest common occurrence is 5¹

Therefore, GCD of 305, 345, 70, 940 is 5.

Given numbers are 305, 345, 70, 940

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

Apply this formula for all numbers.

Step1:

LCM(305, 345) = 21045

GCD(305, 345) = ( 305 x 345 ) / 21045

= 305 / 345

= 305

Step2:

LCM(5, 70) = 70

GCD(5, 70) = ( 5 x 70 ) / 70

= 5 / 70

= 5

Step3:

LCM(5, 940) = 940

GCD(5, 940) = ( 5 x 940 ) / 940

= 5 / 940

= 5

So, Greatest Common Divisor of 305, 345, 70, 940 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 360, 31, 467
• GCD of 953, 139, 14, 732
• GCD of 266, 309, 58, 911
• GCD of 324, 414, 21, 356
• GCD of 530, 309, 79, 931

Given numbers are 305, 345, 70, 940
The greatest common divisor of numbers 305, 345, 70, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 305, 345, 70, 940 is 5.

1. What is the GCD of 305, 345, 70, 940?

GCD of given numbers 305, 345, 70, 940 is 5

2. How to calculate the greatest common divisor of 305, 345, 70, 940?

We can find the highest common divisor of 305, 345, 70, 940 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 305, 345, 70, 940 i.e 5.

3. How can I use the GCD of 305, 345, 70, 940Calculator?

Out the numbers 305, 345, 70, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.