GCD of 174, 700, 640, 350 Calculator

Given Input numbers are 174, 700, 640, 350

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

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

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 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

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 (174, 700, 640, 350) = 2.

Given numbers are 174, 700, 640, 350

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

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

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 174, 700, 640, 350 is 2.

Given numbers are 174, 700, 640, 350

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

Apply this formula for all numbers.

Step1:

LCM(174, 700) = 60900

GCD(174, 700) = ( 174 x 700 ) / 60900

= 174 / 700

= 174

Step2:

LCM(2, 640) = 640

GCD(2, 640) = ( 2 x 640 ) / 640

= 2 / 640

= 2

Step3:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

So, Greatest Common Divisor of 174, 700, 640, 350 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 533, 225, 178
• GCD of 175, 541, 347, 904
• GCD of 314, 506, 898, 471
• GCD of 849, 700, 249, 280
• GCD of 990, 526, 695, 561

Given numbers are 174, 700, 640, 350
The greatest common divisor of numbers 174, 700, 640, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 700, 640, 350 is 2.

1. What is the GCD of 174, 700, 640, 350?

GCD of given numbers 174, 700, 640, 350 is 2

2. How to calculate the greatest common divisor of 174, 700, 640, 350?

We can find the highest common divisor of 174, 700, 640, 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 174, 700, 640, 350 i.e 2.

3. How can I use the GCD of 174, 700, 640, 350Calculator?

Out the numbers 174, 700, 640, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.