GCD of 678, 355, 741, 977 Calculator

Given Input numbers are 678, 355, 741, 977

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

GCD of numbers is the greatest common divisor

So, the GCD (678, 355, 741, 977) = 1.

Given numbers are 678, 355, 741, 977

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 355 are 5 x 71

Prime factors of 741 are 3 x 13 x 19

Prime factors of 977 are 977

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 678, 355, 741, 977

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

Apply this formula for all numbers.

Step1:

LCM(678, 355) = 240690

GCD(678, 355) = ( 678 x 355 ) / 240690

= 678 / 355

= 678

Step2:

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

= 1 / 741

= 1

Step3:

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

= 1 / 977

= 1

So, Greatest Common Divisor of 678, 355, 741, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 314, 707, 755
• GCD of 960, 774, 325, 265
• GCD of 276, 312, 464, 751
• GCD of 827, 808, 694, 971
• GCD of 945, 931, 193, 465

Given numbers are 678, 355, 741, 977
The greatest common divisor of numbers 678, 355, 741, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 355, 741, 977 is 1.

1. What is the GCD of 678, 355, 741, 977?

GCD of given numbers 678, 355, 741, 977 is 1

2. How to calculate the greatest common divisor of 678, 355, 741, 977?

We can find the highest common divisor of 678, 355, 741, 977 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 678, 355, 741, 977 i.e 1.

3. How can I use the GCD of 678, 355, 741, 977Calculator?

Out the numbers 678, 355, 741, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.