GCD of 102, 159, 780, 474 Calculator

Given Input numbers are 102, 159, 780, 474

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

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

GCD of numbers is the greatest common divisor

So, the GCD (102, 159, 780, 474) = 3.

Given numbers are 102, 159, 780, 474

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

Prime factors of 159 are 3 x 53

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 3¹

Therefore, GCD of 102, 159, 780, 474 is 3.

Given numbers are 102, 159, 780, 474

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

Apply this formula for all numbers.

Step1:

LCM(102, 159) = 5406

GCD(102, 159) = ( 102 x 159 ) / 5406

= 102 / 159

= 102

Step2:

LCM(3, 780) = 780

GCD(3, 780) = ( 3 x 780 ) / 780

= 3 / 780

= 3

Step3:

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

= 3 / 474

= 3

So, Greatest Common Divisor of 102, 159, 780, 474 is 3

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• GCD of 426, 836, 597, 457
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Given numbers are 102, 159, 780, 474
The greatest common divisor of numbers 102, 159, 780, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 159, 780, 474 is 3.

1. What is the GCD of 102, 159, 780, 474?

GCD of given numbers 102, 159, 780, 474 is 3

2. How to calculate the greatest common divisor of 102, 159, 780, 474?

We can find the highest common divisor of 102, 159, 780, 474 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 102, 159, 780, 474 i.e 3.

3. How can I use the GCD of 102, 159, 780, 474Calculator?

Out the numbers 102, 159, 780, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.