GCD of 940, 505, 10, 740 Calculator

Given Input numbers are 940, 505, 10, 740

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

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

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

GCD of numbers is the greatest common divisor

So, the GCD (940, 505, 10, 740) = 5.

Given numbers are 940, 505, 10, 740

The list of prime factors of all numbers are

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

Prime factors of 505 are 5 x 101

Prime factors of 10 are 2 x 5

Prime factors of 740 are 2 x 2 x 5 x 37

The highest common occurrence is 5¹

Therefore, GCD of 940, 505, 10, 740 is 5.

Given numbers are 940, 505, 10, 740

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

Apply this formula for all numbers.

Step1:

LCM(940, 505) = 94940

GCD(940, 505) = ( 940 x 505 ) / 94940

= 940 / 505

= 940

Step2:

LCM(5, 10) = 10

GCD(5, 10) = ( 5 x 10 ) / 10

= 5 / 10

= 5

Step3:

LCM(5, 740) = 740

GCD(5, 740) = ( 5 x 740 ) / 740

= 5 / 740

= 5

So, Greatest Common Divisor of 940, 505, 10, 740 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 767, 863, 79, 659
• GCD of 382, 462, 81, 990
• GCD of 606, 917, 20, 440
• GCD of 255, 335, 36, 184
• GCD of 511, 405, 25, 713

Given numbers are 940, 505, 10, 740
The greatest common divisor of numbers 940, 505, 10, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 940, 505, 10, 740 is 5.

1. What is the GCD of 940, 505, 10, 740?

GCD of given numbers 940, 505, 10, 740 is 5

2. How to calculate the greatest common divisor of 940, 505, 10, 740?

We can find the highest common divisor of 940, 505, 10, 740 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 940, 505, 10, 740 i.e 5.

3. How can I use the GCD of 940, 505, 10, 740Calculator?

Out the numbers 940, 505, 10, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.