GCD of 690, 290, 970 Calculator

Given Input numbers are 690, 290, 970

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

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 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

GCD of numbers is the greatest common divisor

So, the GCD (690, 290, 970) = 10.

Given numbers are 690, 290, 970

The list of prime factors of all numbers are

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 970 are 2 x 5 x 97

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 690, 290, 970 is 10.

Given numbers are 690, 290, 970

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

Apply this formula for all numbers.

Step1:

LCM(690, 290) = 20010

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

= 690 / 290

= 690

Step2:

LCM(10, 970) = 970

GCD(10, 970) = ( 10 x 970 ) / 970

= 10 / 970

= 10

So, Greatest Common Divisor of 690, 290, 970 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 598, 428, 545
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Given numbers are 690, 290, 970
The greatest common divisor of numbers 690, 290, 970 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 290, 970 is 10.

1. What is the GCD of 690, 290, 970?

GCD of given numbers 690, 290, 970 is 10

2. How to calculate the greatest common divisor of 690, 290, 970?

We can find the highest common divisor of 690, 290, 970 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 690, 290, 970 i.e 10.

3. How can I use the GCD of 690, 290, 970Calculator?

Out the numbers 690, 290, 970 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.