GCD of 374, 562, 152, 690 Calculator

Given Input numbers are 374, 562, 152, 690

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

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

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

GCD of numbers is the greatest common divisor

So, the GCD (374, 562, 152, 690) = 2.

Given numbers are 374, 562, 152, 690

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

Prime factors of 562 are 2 x 281

Prime factors of 152 are 2 x 2 x 2 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 374, 562, 152, 690 is 2.

Given numbers are 374, 562, 152, 690

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

Apply this formula for all numbers.

Step1:

LCM(374, 562) = 105094

GCD(374, 562) = ( 374 x 562 ) / 105094

= 374 / 562

= 374

Step2:

LCM(2, 152) = 152

GCD(2, 152) = ( 2 x 152 ) / 152

= 2 / 152

= 2

Step3:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2

So, Greatest Common Divisor of 374, 562, 152, 690 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 266, 271, 531
• GCD of 726, 280, 309, 366
• GCD of 893, 563, 891, 159
• GCD of 943, 321, 512, 411
• GCD of 776, 411, 301, 541

Given numbers are 374, 562, 152, 690
The greatest common divisor of numbers 374, 562, 152, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 562, 152, 690 is 2.

1. What is the GCD of 374, 562, 152, 690?

GCD of given numbers 374, 562, 152, 690 is 2

2. How to calculate the greatest common divisor of 374, 562, 152, 690?

We can find the highest common divisor of 374, 562, 152, 690 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 374, 562, 152, 690 i.e 2.

3. How can I use the GCD of 374, 562, 152, 690Calculator?

Out the numbers 374, 562, 152, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.