GCD of 690, 375, 474, 708 Calculator

Given Input numbers are 690, 375, 474, 708

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 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

GCD of numbers is the greatest common divisor

So, the GCD (690, 375, 474, 708) = 3.

Given numbers are 690, 375, 474, 708

The list of prime factors of all numbers are

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

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 474 are 2 x 3 x 79

Prime factors of 708 are 2 x 2 x 3 x 59

The highest common occurrence is 3¹

Therefore, GCD of 690, 375, 474, 708 is 3.

Given numbers are 690, 375, 474, 708

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

Apply this formula for all numbers.

Step1:

LCM(690, 375) = 17250

GCD(690, 375) = ( 690 x 375 ) / 17250

= 690 / 375

= 690

Step2:

LCM(15, 474) = 2370

GCD(15, 474) = ( 15 x 474 ) / 2370

= 15 / 474

= 15

Step3:

LCM(3, 708) = 708

GCD(3, 708) = ( 3 x 708 ) / 708

= 3 / 708

= 3

So, Greatest Common Divisor of 690, 375, 474, 708 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 558, 627, 113, 837
• GCD of 112, 836, 275, 136
• GCD of 219, 150, 836, 360
• GCD of 671, 622, 281, 231
• GCD of 549, 529, 617, 120

Given numbers are 690, 375, 474, 708
The greatest common divisor of numbers 690, 375, 474, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 375, 474, 708 is 3.

1. What is the GCD of 690, 375, 474, 708?

GCD of given numbers 690, 375, 474, 708 is 3

2. How to calculate the greatest common divisor of 690, 375, 474, 708?

We can find the highest common divisor of 690, 375, 474, 708 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, 375, 474, 708 i.e 3.

3. How can I use the GCD of 690, 375, 474, 708Calculator?

Out the numbers 690, 375, 474, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.