GCD of 290, 690, 290, 940 Calculator

Given Input numbers are 290, 690, 290, 940

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

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

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 (290, 690, 290, 940) = 10.

Given numbers are 290, 690, 290, 940

The list of prime factors of all numbers are

Prime factors of 290 are 2 x 5 x 29

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 290 are 2 x 5 x 29

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

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 290, 690, 290, 940 is 10.

Given numbers are 290, 690, 290, 940

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

Apply this formula for all numbers.

Step1:

LCM(290, 690) = 20010

GCD(290, 690) = ( 290 x 690 ) / 20010

= 290 / 690

= 290

Step2:

LCM(10, 290) = 290

GCD(10, 290) = ( 10 x 290 ) / 290

= 10 / 290

= 10

Step3:

LCM(10, 940) = 940

GCD(10, 940) = ( 10 x 940 ) / 940

= 10 / 940

= 10

So, Greatest Common Divisor of 290, 690, 290, 940 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 153, 302, 281
• GCD of 101, 305, 713, 786
• GCD of 646, 398, 699, 754
• GCD of 594, 134, 653, 996
• GCD of 254, 313, 244, 728

Given numbers are 290, 690, 290, 940
The greatest common divisor of numbers 290, 690, 290, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 690, 290, 940 is 10.

1. What is the GCD of 290, 690, 290, 940?

GCD of given numbers 290, 690, 290, 940 is 10

2. How to calculate the greatest common divisor of 290, 690, 290, 940?

We can find the highest common divisor of 290, 690, 290, 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 290, 690, 290, 940 i.e 10.

3. How can I use the GCD of 290, 690, 290, 940Calculator?

Out the numbers 290, 690, 290, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.