GCD of 350, 134, 664, 300 Calculator

Given Input numbers are 350, 134, 664, 300

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

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

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (350, 134, 664, 300) = 2.

Given numbers are 350, 134, 664, 300

The list of prime factors of all numbers are

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

Prime factors of 134 are 2 x 67

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 350, 134, 664, 300 is 2.

Given numbers are 350, 134, 664, 300

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

Apply this formula for all numbers.

Step1:

LCM(350, 134) = 23450

GCD(350, 134) = ( 350 x 134 ) / 23450

= 350 / 134

= 350

Step2:

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

= 2 / 664

= 2

Step3:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

So, Greatest Common Divisor of 350, 134, 664, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 415, 575, 997
• GCD of 701, 846, 768, 827
• GCD of 524, 202, 344, 407
• GCD of 237, 988, 623, 672
• GCD of 817, 606, 101, 206

Given numbers are 350, 134, 664, 300
The greatest common divisor of numbers 350, 134, 664, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 134, 664, 300 is 2.

1. What is the GCD of 350, 134, 664, 300?

GCD of given numbers 350, 134, 664, 300 is 2

2. How to calculate the greatest common divisor of 350, 134, 664, 300?

We can find the highest common divisor of 350, 134, 664, 300 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 350, 134, 664, 300 i.e 2.

3. How can I use the GCD of 350, 134, 664, 300Calculator?

Out the numbers 350, 134, 664, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.