GCD of 700, 950, 36, 420 Calculator

Given Input numbers are 700, 950, 36, 420

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 950 :

The positive integer divisors of 950 that completely divides 950 are.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (700, 950, 36, 420) = 2.

Given numbers are 700, 950, 36, 420

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 950 are 2 x 5 x 5 x 19

Prime factors of 36 are 2 x 2 x 3 x 3

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 700, 950, 36, 420 is 2.

Given numbers are 700, 950, 36, 420

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

Apply this formula for all numbers.

Step1:

LCM(700, 950) = 13300

GCD(700, 950) = ( 700 x 950 ) / 13300

= 700 / 950

= 700

Step2:

LCM(50, 36) = 900

GCD(50, 36) = ( 50 x 36 ) / 900

= 50 / 36

= 50

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 700, 950, 36, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 341, 46, 105
• GCD of 152, 810, 29, 652
• GCD of 302, 758, 26, 555
• GCD of 885, 969, 67, 379
• GCD of 714, 912, 40, 850

Given numbers are 700, 950, 36, 420
The greatest common divisor of numbers 700, 950, 36, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 950, 36, 420 is 2.

1. What is the GCD of 700, 950, 36, 420?

GCD of given numbers 700, 950, 36, 420 is 2

2. How to calculate the greatest common divisor of 700, 950, 36, 420?

We can find the highest common divisor of 700, 950, 36, 420 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, 950, 36, 420 i.e 2.

3. How can I use the GCD of 700, 950, 36, 420Calculator?

Out the numbers 700, 950, 36, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.