GCD of 270, 700, 644, 112 Calculator

Given Input numbers are 270, 700, 644, 112

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (270, 700, 644, 112) = 2.

Given numbers are 270, 700, 644, 112

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

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

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 270, 700, 644, 112 is 2.

Given numbers are 270, 700, 644, 112

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

Apply this formula for all numbers.

Step1:

LCM(270, 700) = 18900

GCD(270, 700) = ( 270 x 700 ) / 18900

= 270 / 700

= 270

Step2:

LCM(10, 644) = 3220

GCD(10, 644) = ( 10 x 644 ) / 3220

= 10 / 644

= 10

Step3:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

So, Greatest Common Divisor of 270, 700, 644, 112 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 425, 684, 529, 770
• GCD of 183, 996, 427, 400
• GCD of 254, 110, 236, 711
• GCD of 803, 127, 558, 570
• GCD of 883, 122, 346, 803

Given numbers are 270, 700, 644, 112
The greatest common divisor of numbers 270, 700, 644, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 700, 644, 112 is 2.

1. What is the GCD of 270, 700, 644, 112?

GCD of given numbers 270, 700, 644, 112 is 2

2. How to calculate the greatest common divisor of 270, 700, 644, 112?

We can find the highest common divisor of 270, 700, 644, 112 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 270, 700, 644, 112 i.e 2.

3. How can I use the GCD of 270, 700, 644, 112Calculator?

Out the numbers 270, 700, 644, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.