GCD of 770, 974, 180, 414 Calculator

Given Input numbers are 770, 974, 180, 414

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 974 :

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

1, 2, 487, 974

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (770, 974, 180, 414) = 2.

Given numbers are 770, 974, 180, 414

The list of prime factors of all numbers are

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

Prime factors of 974 are 2 x 487

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 414 are 2 x 3 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 770, 974, 180, 414 is 2.

Given numbers are 770, 974, 180, 414

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

Apply this formula for all numbers.

Step1:

LCM(770, 974) = 374990

GCD(770, 974) = ( 770 x 974 ) / 374990

= 770 / 974

= 770

Step2:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

Step3:

LCM(2, 414) = 414

GCD(2, 414) = ( 2 x 414 ) / 414

= 2 / 414

= 2

So, Greatest Common Divisor of 770, 974, 180, 414 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 659, 407, 748, 360
• GCD of 640, 900, 669, 260
• GCD of 533, 242, 408, 208
• GCD of 230, 464, 505, 216
• GCD of 304, 102, 342, 782

Given numbers are 770, 974, 180, 414
The greatest common divisor of numbers 770, 974, 180, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 974, 180, 414 is 2.

1. What is the GCD of 770, 974, 180, 414?

GCD of given numbers 770, 974, 180, 414 is 2

2. How to calculate the greatest common divisor of 770, 974, 180, 414?

We can find the highest common divisor of 770, 974, 180, 414 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, 974, 180, 414 i.e 2.

3. How can I use the GCD of 770, 974, 180, 414Calculator?

Out the numbers 770, 974, 180, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.