GCD of 700, 164, 144, 350 Calculator

Given Input numbers are 700, 164, 144, 350

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 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (700, 164, 144, 350) = 2.

Given numbers are 700, 164, 144, 350

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 164 are 2 x 2 x 41

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 350 are 2 x 5 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 700, 164, 144, 350 is 2.

Given numbers are 700, 164, 144, 350

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

Apply this formula for all numbers.

Step1:

LCM(700, 164) = 28700

GCD(700, 164) = ( 700 x 164 ) / 28700

= 700 / 164

= 700

Step2:

LCM(4, 144) = 144

GCD(4, 144) = ( 4 x 144 ) / 144

= 4 / 144

= 4

Step3:

LCM(4, 350) = 700

GCD(4, 350) = ( 4 x 350 ) / 700

= 4 / 350

= 4

So, Greatest Common Divisor of 700, 164, 144, 350 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 310, 643, 859
• GCD of 517, 569, 178, 718
• GCD of 736, 393, 121, 488
• GCD of 460, 916, 627, 879
• GCD of 545, 509, 441, 961

Given numbers are 700, 164, 144, 350
The greatest common divisor of numbers 700, 164, 144, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 164, 144, 350 is 2.

1. What is the GCD of 700, 164, 144, 350?

GCD of given numbers 700, 164, 144, 350 is 2

2. How to calculate the greatest common divisor of 700, 164, 144, 350?

We can find the highest common divisor of 700, 164, 144, 350 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, 164, 144, 350 i.e 2.

3. How can I use the GCD of 700, 164, 144, 350Calculator?

Out the numbers 700, 164, 144, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.