GCD of 420, 220, 920, 965 Calculator

Given Input numbers are 420, 220, 920, 965

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

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

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

GCD of numbers is the greatest common divisor

So, the GCD (420, 220, 920, 965) = 5.

Given numbers are 420, 220, 920, 965

The list of prime factors of all numbers are

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

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 965 are 5 x 193

The highest common occurrence is 5¹

Therefore, GCD of 420, 220, 920, 965 is 5.

Given numbers are 420, 220, 920, 965

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

Apply this formula for all numbers.

Step1:

LCM(420, 220) = 4620

GCD(420, 220) = ( 420 x 220 ) / 4620

= 420 / 220

= 420

Step2:

LCM(20, 920) = 920

GCD(20, 920) = ( 20 x 920 ) / 920

= 20 / 920

= 20

Step3:

LCM(20, 965) = 3860

GCD(20, 965) = ( 20 x 965 ) / 3860

= 20 / 965

= 20

So, Greatest Common Divisor of 420, 220, 920, 965 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 813, 568, 646
• GCD of 744, 140, 747, 983
• GCD of 550, 231, 706, 781
• GCD of 916, 547, 254, 199
• GCD of 409, 569, 316, 993

Given numbers are 420, 220, 920, 965
The greatest common divisor of numbers 420, 220, 920, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 220, 920, 965 is 5.

1. What is the GCD of 420, 220, 920, 965?

GCD of given numbers 420, 220, 920, 965 is 5

2. How to calculate the greatest common divisor of 420, 220, 920, 965?

We can find the highest common divisor of 420, 220, 920, 965 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 420, 220, 920, 965 i.e 5.

3. How can I use the GCD of 420, 220, 920, 965Calculator?

Out the numbers 420, 220, 920, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.