GCD of 776, 742, 676, 678 Calculator

Given Input numbers are 776, 742, 676, 678

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

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 678 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (776, 742, 676, 678) = 2.

Given numbers are 776, 742, 676, 678

The list of prime factors of all numbers are

Prime factors of 776 are 2 x 2 x 2 x 97

Prime factors of 742 are 2 x 7 x 53

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹

Therefore, GCD of 776, 742, 676, 678 is 2.

Given numbers are 776, 742, 676, 678

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

Apply this formula for all numbers.

Step1:

LCM(776, 742) = 287896

GCD(776, 742) = ( 776 x 742 ) / 287896

= 776 / 742

= 776

Step2:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

Step3:

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

= 2 / 678

= 2

So, Greatest Common Divisor of 776, 742, 676, 678 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 299, 497, 290, 746
• GCD of 435, 179, 795, 634
• GCD of 378, 409, 135, 859
• GCD of 927, 305, 141, 440
• GCD of 992, 459, 438, 148

Given numbers are 776, 742, 676, 678
The greatest common divisor of numbers 776, 742, 676, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 776, 742, 676, 678 is 2.

1. What is the GCD of 776, 742, 676, 678?

GCD of given numbers 776, 742, 676, 678 is 2

2. How to calculate the greatest common divisor of 776, 742, 676, 678?

We can find the highest common divisor of 776, 742, 676, 678 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 776, 742, 676, 678 i.e 2.

3. How can I use the GCD of 776, 742, 676, 678Calculator?

Out the numbers 776, 742, 676, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.