GCD of 342, 546, 880, 770 Calculator

Given Input numbers are 342, 546, 880, 770

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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

GCD of numbers is the greatest common divisor

So, the GCD (342, 546, 880, 770) = 2.

Given numbers are 342, 546, 880, 770

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 342, 546, 880, 770 is 2.

Given numbers are 342, 546, 880, 770

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

Apply this formula for all numbers.

Step1:

LCM(342, 546) = 31122

GCD(342, 546) = ( 342 x 546 ) / 31122

= 342 / 546

= 342

Step2:

LCM(6, 880) = 2640

GCD(6, 880) = ( 6 x 880 ) / 2640

= 6 / 880

= 6

Step3:

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

= 2 / 770

= 2

So, Greatest Common Divisor of 342, 546, 880, 770 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 521, 605, 381, 170
• GCD of 199, 920, 391, 682
• GCD of 344, 642, 365, 620
• GCD of 419, 809, 776, 847
• GCD of 731, 504, 252, 962

Given numbers are 342, 546, 880, 770
The greatest common divisor of numbers 342, 546, 880, 770 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 546, 880, 770 is 2.

1. What is the GCD of 342, 546, 880, 770?

GCD of given numbers 342, 546, 880, 770 is 2

2. How to calculate the greatest common divisor of 342, 546, 880, 770?

We can find the highest common divisor of 342, 546, 880, 770 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 342, 546, 880, 770 i.e 2.

3. How can I use the GCD of 342, 546, 880, 770Calculator?

Out the numbers 342, 546, 880, 770 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.