GCD of 714, 670, 616, 956 Calculator

Given Input numbers are 714, 670, 616, 956

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 670 :

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

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

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

GCD of numbers is the greatest common divisor

So, the GCD (714, 670, 616, 956) = 2.

Given numbers are 714, 670, 616, 956

The list of prime factors of all numbers are

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 670 are 2 x 5 x 67

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 956 are 2 x 2 x 239

The highest common occurrence is 2¹

Therefore, GCD of 714, 670, 616, 956 is 2.

Given numbers are 714, 670, 616, 956

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

Apply this formula for all numbers.

Step1:

LCM(714, 670) = 239190

GCD(714, 670) = ( 714 x 670 ) / 239190

= 714 / 670

= 714

Step2:

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

= 2 / 616

= 2

Step3:

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

= 2 / 956

= 2

So, Greatest Common Divisor of 714, 670, 616, 956 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 864, 208, 914, 886
• GCD of 235, 694, 733, 641
• GCD of 120, 134, 766, 376
• GCD of 307, 307, 583, 340
• GCD of 913, 684, 636, 845

Given numbers are 714, 670, 616, 956
The greatest common divisor of numbers 714, 670, 616, 956 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 670, 616, 956 is 2.

1. What is the GCD of 714, 670, 616, 956?

GCD of given numbers 714, 670, 616, 956 is 2

2. How to calculate the greatest common divisor of 714, 670, 616, 956?

We can find the highest common divisor of 714, 670, 616, 956 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 714, 670, 616, 956 i.e 2.

3. How can I use the GCD of 714, 670, 616, 956Calculator?

Out the numbers 714, 670, 616, 956 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.