GCD of 670, 360, 200, 130 Calculator

Given Input numbers are 670, 360, 200, 130

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

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

GCD of numbers is the greatest common divisor

So, the GCD (670, 360, 200, 130) = 10.

Given numbers are 670, 360, 200, 130

The list of prime factors of all numbers are

Prime factors of 670 are 2 x 5 x 67

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 670, 360, 200, 130 is 10.

Given numbers are 670, 360, 200, 130

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

Apply this formula for all numbers.

Step1:

LCM(670, 360) = 24120

GCD(670, 360) = ( 670 x 360 ) / 24120

= 670 / 360

= 670

Step2:

LCM(10, 200) = 200

GCD(10, 200) = ( 10 x 200 ) / 200

= 10 / 200

= 10

Step3:

LCM(10, 130) = 130

GCD(10, 130) = ( 10 x 130 ) / 130

= 10 / 130

= 10

So, Greatest Common Divisor of 670, 360, 200, 130 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 609, 945, 386
• GCD of 372, 363, 276, 921
• GCD of 267, 312, 985, 619
• GCD of 164, 959, 881, 362
• GCD of 891, 706, 783, 668

Given numbers are 670, 360, 200, 130
The greatest common divisor of numbers 670, 360, 200, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 670, 360, 200, 130 is 10.

1. What is the GCD of 670, 360, 200, 130?

GCD of given numbers 670, 360, 200, 130 is 10

2. How to calculate the greatest common divisor of 670, 360, 200, 130?

We can find the highest common divisor of 670, 360, 200, 130 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 670, 360, 200, 130 i.e 10.

3. How can I use the GCD of 670, 360, 200, 130Calculator?

Out the numbers 670, 360, 200, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.