GCD of 974, 370, 334, 674 Calculator

Given Input numbers are 974, 370, 334, 674

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

Divisors of 974 :

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

1, 2, 487, 974

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 334 :

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

1, 2, 167, 334

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (974, 370, 334, 674) = 2.

Given numbers are 974, 370, 334, 674

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

Prime factors of 370 are 2 x 5 x 37

Prime factors of 334 are 2 x 167

Prime factors of 674 are 2 x 337

The highest common occurrence is 2¹

Therefore, GCD of 974, 370, 334, 674 is 2.

Given numbers are 974, 370, 334, 674

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

Apply this formula for all numbers.

Step1:

LCM(974, 370) = 180190

GCD(974, 370) = ( 974 x 370 ) / 180190

= 974 / 370

= 974

Step2:

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

= 2 / 334

= 2

Step3:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2

So, Greatest Common Divisor of 974, 370, 334, 674 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 768, 516, 874
• GCD of 201, 909, 203, 572
• GCD of 790, 599, 838, 701
• GCD of 661, 345, 262, 100
• GCD of 215, 258, 559, 357

Given numbers are 974, 370, 334, 674
The greatest common divisor of numbers 974, 370, 334, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 370, 334, 674 is 2.

1. What is the GCD of 974, 370, 334, 674?

GCD of given numbers 974, 370, 334, 674 is 2

2. How to calculate the greatest common divisor of 974, 370, 334, 674?

We can find the highest common divisor of 974, 370, 334, 674 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 974, 370, 334, 674 i.e 2.

3. How can I use the GCD of 974, 370, 334, 674Calculator?

Out the numbers 974, 370, 334, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.