GCD of 420, 952, 206, 740 Calculator

Given Input numbers are 420, 952, 206, 740

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 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

GCD of numbers is the greatest common divisor

So, the GCD (420, 952, 206, 740) = 2.

Given numbers are 420, 952, 206, 740

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 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 206 are 2 x 103

Prime factors of 740 are 2 x 2 x 5 x 37

The highest common occurrence is 2¹

Therefore, GCD of 420, 952, 206, 740 is 2.

Given numbers are 420, 952, 206, 740

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

Apply this formula for all numbers.

Step1:

LCM(420, 952) = 14280

GCD(420, 952) = ( 420 x 952 ) / 14280

= 420 / 952

= 420

Step2:

LCM(28, 206) = 2884

GCD(28, 206) = ( 28 x 206 ) / 2884

= 28 / 206

= 28

Step3:

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

= 2 / 740

= 2

So, Greatest Common Divisor of 420, 952, 206, 740 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 127, 731, 569
• GCD of 615, 561, 892, 785
• GCD of 663, 643, 821, 812
• GCD of 990, 604, 199, 965
• GCD of 633, 797, 437, 381

Given numbers are 420, 952, 206, 740
The greatest common divisor of numbers 420, 952, 206, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 952, 206, 740 is 2.

1. What is the GCD of 420, 952, 206, 740?

GCD of given numbers 420, 952, 206, 740 is 2

2. How to calculate the greatest common divisor of 420, 952, 206, 740?

We can find the highest common divisor of 420, 952, 206, 740 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, 952, 206, 740 i.e 2.

3. How can I use the GCD of 420, 952, 206, 740Calculator?

Out the numbers 420, 952, 206, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.