GCD of 700, 896, 970, 180 Calculator

Given Input numbers are 700, 896, 970, 180

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 970 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (700, 896, 970, 180) = 2.

Given numbers are 700, 896, 970, 180

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 970 are 2 x 5 x 97

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

The highest common occurrence is 2¹

Therefore, GCD of 700, 896, 970, 180 is 2.

Given numbers are 700, 896, 970, 180

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

Apply this formula for all numbers.

Step1:

LCM(700, 896) = 22400

GCD(700, 896) = ( 700 x 896 ) / 22400

= 700 / 896

= 700

Step2:

LCM(28, 970) = 13580

GCD(28, 970) = ( 28 x 970 ) / 13580

= 28 / 970

= 28

Step3:

LCM(2, 180) = 180

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

= 2 / 180

= 2

So, Greatest Common Divisor of 700, 896, 970, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 251, 905, 518
• GCD of 117, 760, 343, 696
• GCD of 914, 616, 360, 696
• GCD of 425, 669, 962, 442
• GCD of 657, 394, 447, 840

Given numbers are 700, 896, 970, 180
The greatest common divisor of numbers 700, 896, 970, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 896, 970, 180 is 2.

1. What is the GCD of 700, 896, 970, 180?

GCD of given numbers 700, 896, 970, 180 is 2

2. How to calculate the greatest common divisor of 700, 896, 970, 180?

We can find the highest common divisor of 700, 896, 970, 180 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 700, 896, 970, 180 i.e 2.

3. How can I use the GCD of 700, 896, 970, 180Calculator?

Out the numbers 700, 896, 970, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.