GCD of 674, 960, 964, 348 Calculator

Given Input numbers are 674, 960, 964, 348

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 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (674, 960, 964, 348) = 2.

Given numbers are 674, 960, 964, 348

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 964 are 2 x 2 x 241

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 674, 960, 964, 348 is 2.

Given numbers are 674, 960, 964, 348

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

Apply this formula for all numbers.

Step1:

LCM(674, 960) = 323520

GCD(674, 960) = ( 674 x 960 ) / 323520

= 674 / 960

= 674

Step2:

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

= 2 / 964

= 2

Step3:

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

= 2 / 348

= 2

So, Greatest Common Divisor of 674, 960, 964, 348 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 520, 797, 866, 185
• GCD of 741, 139, 781, 557
• GCD of 630, 201, 505, 136
• GCD of 443, 520, 234, 806
• GCD of 342, 969, 553, 682

Given numbers are 674, 960, 964, 348
The greatest common divisor of numbers 674, 960, 964, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 960, 964, 348 is 2.

1. What is the GCD of 674, 960, 964, 348?

GCD of given numbers 674, 960, 964, 348 is 2

2. How to calculate the greatest common divisor of 674, 960, 964, 348?

We can find the highest common divisor of 674, 960, 964, 348 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, 960, 964, 348 i.e 2.

3. How can I use the GCD of 674, 960, 964, 348Calculator?

Out the numbers 674, 960, 964, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.