GCD of 260, 868, 118, 420 Calculator

Given Input numbers are 260, 868, 118, 420

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

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

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 (260, 868, 118, 420) = 2.

Given numbers are 260, 868, 118, 420

The list of prime factors of all numbers are

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 868 are 2 x 2 x 7 x 31

Prime factors of 118 are 2 x 59

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

The highest common occurrence is 2¹

Therefore, GCD of 260, 868, 118, 420 is 2.

Given numbers are 260, 868, 118, 420

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

Apply this formula for all numbers.

Step1:

LCM(260, 868) = 56420

GCD(260, 868) = ( 260 x 868 ) / 56420

= 260 / 868

= 260

Step2:

LCM(4, 118) = 236

GCD(4, 118) = ( 4 x 118 ) / 236

= 4 / 118

= 4

Step3:

LCM(2, 420) = 420

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

= 2 / 420

= 2

So, Greatest Common Divisor of 260, 868, 118, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 984, 749, 821
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Given numbers are 260, 868, 118, 420
The greatest common divisor of numbers 260, 868, 118, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 260, 868, 118, 420 is 2.

1. What is the GCD of 260, 868, 118, 420?

GCD of given numbers 260, 868, 118, 420 is 2

2. How to calculate the greatest common divisor of 260, 868, 118, 420?

We can find the highest common divisor of 260, 868, 118, 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 260, 868, 118, 420 i.e 2.

3. How can I use the GCD of 260, 868, 118, 420Calculator?

Out the numbers 260, 868, 118, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.