GCD of 670, 620, 578, 312 Calculator

Given Input numbers are 670, 620, 578, 312

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

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (670, 620, 578, 312) = 2.

Given numbers are 670, 620, 578, 312

The list of prime factors of all numbers are

Prime factors of 670 are 2 x 5 x 67

Prime factors of 620 are 2 x 2 x 5 x 31

Prime factors of 578 are 2 x 17 x 17

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 670, 620, 578, 312 is 2.

Given numbers are 670, 620, 578, 312

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

Apply this formula for all numbers.

Step1:

LCM(670, 620) = 41540

GCD(670, 620) = ( 670 x 620 ) / 41540

= 670 / 620

= 670

Step2:

LCM(10, 578) = 2890

GCD(10, 578) = ( 10 x 578 ) / 2890

= 10 / 578

= 10

Step3:

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

= 2 / 312

= 2

So, Greatest Common Divisor of 670, 620, 578, 312 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 623, 183, 985
• GCD of 331, 908, 518, 202
• GCD of 310, 271, 843, 385
• GCD of 316, 686, 993, 209
• GCD of 209, 887, 388, 667

Given numbers are 670, 620, 578, 312
The greatest common divisor of numbers 670, 620, 578, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 670, 620, 578, 312 is 2.

1. What is the GCD of 670, 620, 578, 312?

GCD of given numbers 670, 620, 578, 312 is 2

2. How to calculate the greatest common divisor of 670, 620, 578, 312?

We can find the highest common divisor of 670, 620, 578, 312 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 670, 620, 578, 312 i.e 2.

3. How can I use the GCD of 670, 620, 578, 312Calculator?

Out the numbers 670, 620, 578, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.