GCD of 674, 470, 742, 954 Calculator

Given Input numbers are 674, 470, 742, 954

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

Divisors of 674 :

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

1, 2, 337, 674

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

GCD of numbers is the greatest common divisor

So, the GCD (674, 470, 742, 954) = 2.

Given numbers are 674, 470, 742, 954

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

Prime factors of 470 are 2 x 5 x 47

Prime factors of 742 are 2 x 7 x 53

Prime factors of 954 are 2 x 3 x 3 x 53

The highest common occurrence is 2¹

Therefore, GCD of 674, 470, 742, 954 is 2.

Given numbers are 674, 470, 742, 954

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

Apply this formula for all numbers.

Step1:

LCM(674, 470) = 158390

GCD(674, 470) = ( 674 x 470 ) / 158390

= 674 / 470

= 674

Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

Step3:

LCM(2, 954) = 954

GCD(2, 954) = ( 2 x 954 ) / 954

= 2 / 954

= 2

So, Greatest Common Divisor of 674, 470, 742, 954 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 966, 551, 231
• GCD of 168, 335, 125, 177
• GCD of 452, 755, 803, 785
• GCD of 380, 428, 412, 287
• GCD of 264, 820, 961, 981

Given numbers are 674, 470, 742, 954
The greatest common divisor of numbers 674, 470, 742, 954 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 470, 742, 954 is 2.

1. What is the GCD of 674, 470, 742, 954?

GCD of given numbers 674, 470, 742, 954 is 2

2. How to calculate the greatest common divisor of 674, 470, 742, 954?

We can find the highest common divisor of 674, 470, 742, 954 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 674, 470, 742, 954 i.e 2.

3. How can I use the GCD of 674, 470, 742, 954Calculator?

Out the numbers 674, 470, 742, 954 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.