GCD of 238, 889, 266, 420 Calculator

Given Input numbers are 238, 889, 266, 420

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

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 (238, 889, 266, 420) = 7.

Given numbers are 238, 889, 266, 420

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 889 are 7 x 127

Prime factors of 266 are 2 x 7 x 19

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

The highest common occurrence is 7¹

Therefore, GCD of 238, 889, 266, 420 is 7.

Given numbers are 238, 889, 266, 420

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

Apply this formula for all numbers.

Step1:

LCM(238, 889) = 30226

GCD(238, 889) = ( 238 x 889 ) / 30226

= 238 / 889

= 238

Step2:

LCM(7, 266) = 266

GCD(7, 266) = ( 7 x 266 ) / 266

= 7 / 266

= 7

Step3:

LCM(7, 420) = 420

GCD(7, 420) = ( 7 x 420 ) / 420

= 7 / 420

= 7

So, Greatest Common Divisor of 238, 889, 266, 420 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 844, 717, 183, 613
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• GCD of 687, 617, 634, 165
• GCD of 812, 822, 122, 395
• GCD of 643, 728, 753, 790

Given numbers are 238, 889, 266, 420
The greatest common divisor of numbers 238, 889, 266, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 889, 266, 420 is 7.

1. What is the GCD of 238, 889, 266, 420?

GCD of given numbers 238, 889, 266, 420 is 7

2. How to calculate the greatest common divisor of 238, 889, 266, 420?

We can find the highest common divisor of 238, 889, 266, 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 238, 889, 266, 420 i.e 7.

3. How can I use the GCD of 238, 889, 266, 420Calculator?

Out the numbers 238, 889, 266, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.