GCD of 850, 200, 120, 420 Calculator

Given Input numbers are 850, 200, 120, 420

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

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 (850, 200, 120, 420) = 10.

Given numbers are 850, 200, 120, 420

The list of prime factors of all numbers are

Prime factors of 850 are 2 x 5 x 5 x 17

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

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 850, 200, 120, 420 is 10.

Given numbers are 850, 200, 120, 420

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

Apply this formula for all numbers.

Step1:

LCM(850, 200) = 3400

GCD(850, 200) = ( 850 x 200 ) / 3400

= 850 / 200

= 850

Step2:

LCM(50, 120) = 600

GCD(50, 120) = ( 50 x 120 ) / 600

= 50 / 120

= 50

Step3:

LCM(10, 420) = 420

GCD(10, 420) = ( 10 x 420 ) / 420

= 10 / 420

= 10

So, Greatest Common Divisor of 850, 200, 120, 420 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 956, 737, 290, 222
• GCD of 527, 984, 549, 933
• GCD of 554, 702, 480, 135
• GCD of 893, 443, 141, 497
• GCD of 824, 284, 310, 489

Given numbers are 850, 200, 120, 420
The greatest common divisor of numbers 850, 200, 120, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 850, 200, 120, 420 is 10.

1. What is the GCD of 850, 200, 120, 420?

GCD of given numbers 850, 200, 120, 420 is 10

2. How to calculate the greatest common divisor of 850, 200, 120, 420?

We can find the highest common divisor of 850, 200, 120, 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 850, 200, 120, 420 i.e 10.

3. How can I use the GCD of 850, 200, 120, 420Calculator?

Out the numbers 850, 200, 120, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.