GCD of 770, 132, 714, 774 Calculator

Given Input numbers are 770, 132, 714, 774

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

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

GCD of numbers is the greatest common divisor

So, the GCD (770, 132, 714, 774) = 2.

Given numbers are 770, 132, 714, 774

The list of prime factors of all numbers are

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 132 are 2 x 2 x 3 x 11

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

Prime factors of 774 are 2 x 3 x 3 x 43

The highest common occurrence is 2¹

Therefore, GCD of 770, 132, 714, 774 is 2.

Given numbers are 770, 132, 714, 774

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

Apply this formula for all numbers.

Step1:

LCM(770, 132) = 4620

GCD(770, 132) = ( 770 x 132 ) / 4620

= 770 / 132

= 770

Step2:

LCM(22, 714) = 7854

GCD(22, 714) = ( 22 x 714 ) / 7854

= 22 / 714

= 22

Step3:

LCM(2, 774) = 774

GCD(2, 774) = ( 2 x 774 ) / 774

= 2 / 774

= 2

So, Greatest Common Divisor of 770, 132, 714, 774 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 850, 469, 668
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• GCD of 238, 664, 986, 650

Given numbers are 770, 132, 714, 774
The greatest common divisor of numbers 770, 132, 714, 774 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 132, 714, 774 is 2.

1. What is the GCD of 770, 132, 714, 774?

GCD of given numbers 770, 132, 714, 774 is 2

2. How to calculate the greatest common divisor of 770, 132, 714, 774?

We can find the highest common divisor of 770, 132, 714, 774 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 770, 132, 714, 774 i.e 2.

3. How can I use the GCD of 770, 132, 714, 774Calculator?

Out the numbers 770, 132, 714, 774 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.