GCD of 618, 850, 600, 978 Calculator

Given Input numbers are 618, 850, 600, 978

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

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

GCD of numbers is the greatest common divisor

So, the GCD (618, 850, 600, 978) = 2.

Given numbers are 618, 850, 600, 978

The list of prime factors of all numbers are

Prime factors of 618 are 2 x 3 x 103

Prime factors of 850 are 2 x 5 x 5 x 17

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 978 are 2 x 3 x 163

The highest common occurrence is 2¹

Therefore, GCD of 618, 850, 600, 978 is 2.

Given numbers are 618, 850, 600, 978

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

Apply this formula for all numbers.

Step1:

LCM(618, 850) = 262650

GCD(618, 850) = ( 618 x 850 ) / 262650

= 618 / 850

= 618

Step2:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

Step3:

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

= 2 / 978

= 2

So, Greatest Common Divisor of 618, 850, 600, 978 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 875, 490, 276
• GCD of 190, 975, 233, 519
• GCD of 328, 361, 969, 708
• GCD of 434, 848, 314, 342
• GCD of 614, 954, 549, 438

Given numbers are 618, 850, 600, 978
The greatest common divisor of numbers 618, 850, 600, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 618, 850, 600, 978 is 2.

1. What is the GCD of 618, 850, 600, 978?

GCD of given numbers 618, 850, 600, 978 is 2

2. How to calculate the greatest common divisor of 618, 850, 600, 978?

We can find the highest common divisor of 618, 850, 600, 978 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 618, 850, 600, 978 i.e 2.

3. How can I use the GCD of 618, 850, 600, 978Calculator?

Out the numbers 618, 850, 600, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.