GCD of 340, 742, 30, 930 Calculator

Given Input numbers are 340, 742, 30, 930

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

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

GCD of numbers is the greatest common divisor

So, the GCD (340, 742, 30, 930) = 2.

Given numbers are 340, 742, 30, 930

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 742 are 2 x 7 x 53

Prime factors of 30 are 2 x 3 x 5

Prime factors of 930 are 2 x 3 x 5 x 31

The highest common occurrence is 2¹

Therefore, GCD of 340, 742, 30, 930 is 2.

Given numbers are 340, 742, 30, 930

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

Apply this formula for all numbers.

Step1:

LCM(340, 742) = 126140

GCD(340, 742) = ( 340 x 742 ) / 126140

= 340 / 742

= 340

Step2:

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

= 2 / 30

= 2

Step3:

LCM(2, 930) = 930

GCD(2, 930) = ( 2 x 930 ) / 930

= 2 / 930

= 2

So, Greatest Common Divisor of 340, 742, 30, 930 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 977, 89, 604
• GCD of 164, 551, 45, 861
• GCD of 535, 394, 26, 512
• GCD of 859, 168, 92, 341
• GCD of 901, 685, 74, 614

Given numbers are 340, 742, 30, 930
The greatest common divisor of numbers 340, 742, 30, 930 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 742, 30, 930 is 2.

1. What is the GCD of 340, 742, 30, 930?

GCD of given numbers 340, 742, 30, 930 is 2

2. How to calculate the greatest common divisor of 340, 742, 30, 930?

We can find the highest common divisor of 340, 742, 30, 930 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 340, 742, 30, 930 i.e 2.

3. How can I use the GCD of 340, 742, 30, 930Calculator?

Out the numbers 340, 742, 30, 930 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.