GCD of 654, 242, 870, 138 Calculator

Given Input numbers are 654, 242, 870, 138

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

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (654, 242, 870, 138) = 2.

Given numbers are 654, 242, 870, 138

The list of prime factors of all numbers are

Prime factors of 654 are 2 x 3 x 109

Prime factors of 242 are 2 x 11 x 11

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 654, 242, 870, 138 is 2.

Given numbers are 654, 242, 870, 138

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

Apply this formula for all numbers.

Step1:

LCM(654, 242) = 79134

GCD(654, 242) = ( 654 x 242 ) / 79134

= 654 / 242

= 654

Step2:

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

= 2 / 870

= 2

Step3:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 654, 242, 870, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 126, 258, 665
• GCD of 372, 289, 113, 554
• GCD of 484, 513, 720, 847
• GCD of 697, 591, 903, 631
• GCD of 921, 523, 937, 331

Given numbers are 654, 242, 870, 138
The greatest common divisor of numbers 654, 242, 870, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 242, 870, 138 is 2.

1. What is the GCD of 654, 242, 870, 138?

GCD of given numbers 654, 242, 870, 138 is 2

2. How to calculate the greatest common divisor of 654, 242, 870, 138?

We can find the highest common divisor of 654, 242, 870, 138 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 654, 242, 870, 138 i.e 2.

3. How can I use the GCD of 654, 242, 870, 138Calculator?

Out the numbers 654, 242, 870, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.