GCD of 690, 150, 334, 974 Calculator

Given Input numbers are 690, 150, 334, 974

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 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (690, 150, 334, 974) = 2.

Given numbers are 690, 150, 334, 974

The list of prime factors of all numbers are

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

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 334 are 2 x 167

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 690, 150, 334, 974 is 2.

Given numbers are 690, 150, 334, 974

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

Apply this formula for all numbers.

Step1:

LCM(690, 150) = 3450

GCD(690, 150) = ( 690 x 150 ) / 3450

= 690 / 150

= 690

Step2:

LCM(30, 334) = 5010

GCD(30, 334) = ( 30 x 334 ) / 5010

= 30 / 334

= 30

Step3:

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

So, Greatest Common Divisor of 690, 150, 334, 974 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 958, 314, 306, 100
• GCD of 451, 776, 195, 664
• GCD of 502, 554, 123, 956
• GCD of 916, 453, 777, 794
• GCD of 738, 989, 841, 919

Given numbers are 690, 150, 334, 974
The greatest common divisor of numbers 690, 150, 334, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 150, 334, 974 is 2.

1. What is the GCD of 690, 150, 334, 974?

GCD of given numbers 690, 150, 334, 974 is 2

2. How to calculate the greatest common divisor of 690, 150, 334, 974?

We can find the highest common divisor of 690, 150, 334, 974 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, 150, 334, 974 i.e 2.

3. How can I use the GCD of 690, 150, 334, 974Calculator?

Out the numbers 690, 150, 334, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.