GCD of 584, 968, 970, 974 Calculator

Given Input numbers are 584, 968, 970, 974

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 974 :

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

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (584, 968, 970, 974) = 2.

Given numbers are 584, 968, 970, 974

The list of prime factors of all numbers are

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 970 are 2 x 5 x 97

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 584, 968, 970, 974 is 2.

Given numbers are 584, 968, 970, 974

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

Apply this formula for all numbers.

Step1:

LCM(584, 968) = 70664

GCD(584, 968) = ( 584 x 968 ) / 70664

= 584 / 968

= 584

Step2:

LCM(8, 970) = 3880

GCD(8, 970) = ( 8 x 970 ) / 3880

= 8 / 970

= 8

Step3:

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

So, Greatest Common Divisor of 584, 968, 970, 974 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 882, 459, 555
• GCD of 166, 699, 524, 960
• GCD of 889, 755, 374, 101
• GCD of 126, 579, 142, 611
• GCD of 843, 732, 387, 984

Given numbers are 584, 968, 970, 974
The greatest common divisor of numbers 584, 968, 970, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 968, 970, 974 is 2.

1. What is the GCD of 584, 968, 970, 974?

GCD of given numbers 584, 968, 970, 974 is 2

2. How to calculate the greatest common divisor of 584, 968, 970, 974?

We can find the highest common divisor of 584, 968, 970, 974 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 584, 968, 970, 974 i.e 2.

3. How can I use the GCD of 584, 968, 970, 974Calculator?

Out the numbers 584, 968, 970, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.