GCD of 374, 940, 890, 686 Calculator

Given Input numbers are 374, 940, 890, 686

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 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

GCD of numbers is the greatest common divisor

So, the GCD (374, 940, 890, 686) = 2.

Given numbers are 374, 940, 890, 686

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

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

Prime factors of 890 are 2 x 5 x 89

Prime factors of 686 are 2 x 7 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 374, 940, 890, 686 is 2.

Given numbers are 374, 940, 890, 686

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

Apply this formula for all numbers.

Step1:

LCM(374, 940) = 175780

GCD(374, 940) = ( 374 x 940 ) / 175780

= 374 / 940

= 374

Step2:

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

= 2 / 890

= 2

Step3:

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

= 2 / 686

= 2

So, Greatest Common Divisor of 374, 940, 890, 686 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 229, 127, 229, 201
• GCD of 984, 622, 507, 970
• GCD of 936, 809, 877, 495
• GCD of 794, 798, 823, 929
• GCD of 145, 100, 672, 828

Given numbers are 374, 940, 890, 686
The greatest common divisor of numbers 374, 940, 890, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 940, 890, 686 is 2.

1. What is the GCD of 374, 940, 890, 686?

GCD of given numbers 374, 940, 890, 686 is 2

2. How to calculate the greatest common divisor of 374, 940, 890, 686?

We can find the highest common divisor of 374, 940, 890, 686 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, 940, 890, 686 i.e 2.

3. How can I use the GCD of 374, 940, 890, 686Calculator?

Out the numbers 374, 940, 890, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.