GCD of 678, 718, 736, 970 Calculator

Given Input numbers are 678, 718, 736, 970

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 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

GCD of numbers is the greatest common divisor

So, the GCD (678, 718, 736, 970) = 2.

Given numbers are 678, 718, 736, 970

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 718 are 2 x 359

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 970 are 2 x 5 x 97

The highest common occurrence is 2¹

Therefore, GCD of 678, 718, 736, 970 is 2.

Given numbers are 678, 718, 736, 970

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

Apply this formula for all numbers.

Step1:

LCM(678, 718) = 243402

GCD(678, 718) = ( 678 x 718 ) / 243402

= 678 / 718

= 678

Step2:

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

= 2 / 736

= 2

Step3:

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

= 2 / 970

= 2

So, Greatest Common Divisor of 678, 718, 736, 970 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 545, 682, 228
• GCD of 966, 176, 905, 928
• GCD of 485, 971, 374, 443
• GCD of 378, 589, 856, 751
• GCD of 575, 317, 837, 960

Given numbers are 678, 718, 736, 970
The greatest common divisor of numbers 678, 718, 736, 970 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 718, 736, 970 is 2.

1. What is the GCD of 678, 718, 736, 970?

GCD of given numbers 678, 718, 736, 970 is 2

2. How to calculate the greatest common divisor of 678, 718, 736, 970?

We can find the highest common divisor of 678, 718, 736, 970 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, 718, 736, 970 i.e 2.

3. How can I use the GCD of 678, 718, 736, 970Calculator?

Out the numbers 678, 718, 736, 970 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.