GCD of 708, 974, 314, 652 Calculator

Given Input numbers are 708, 974, 314, 652

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 974 :

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

1, 2, 487, 974

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

GCD of numbers is the greatest common divisor

So, the GCD (708, 974, 314, 652) = 2.

Given numbers are 708, 974, 314, 652

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 974 are 2 x 487

Prime factors of 314 are 2 x 157

Prime factors of 652 are 2 x 2 x 163

The highest common occurrence is 2¹

Therefore, GCD of 708, 974, 314, 652 is 2.

Given numbers are 708, 974, 314, 652

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

Apply this formula for all numbers.

Step1:

LCM(708, 974) = 344796

GCD(708, 974) = ( 708 x 974 ) / 344796

= 708 / 974

= 708

Step2:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

Step3:

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

= 2 / 652

= 2

So, Greatest Common Divisor of 708, 974, 314, 652 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 747, 898, 354, 633
• GCD of 654, 279, 720, 193
• GCD of 984, 823, 853, 762
• GCD of 924, 303, 152, 511
• GCD of 286, 943, 884, 620

Given numbers are 708, 974, 314, 652
The greatest common divisor of numbers 708, 974, 314, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 974, 314, 652 is 2.

1. What is the GCD of 708, 974, 314, 652?

GCD of given numbers 708, 974, 314, 652 is 2

2. How to calculate the greatest common divisor of 708, 974, 314, 652?

We can find the highest common divisor of 708, 974, 314, 652 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 708, 974, 314, 652 i.e 2.

3. How can I use the GCD of 708, 974, 314, 652Calculator?

Out the numbers 708, 974, 314, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.