GCD of 378, 848, 102, 300 Calculator

Given Input numbers are 378, 848, 102, 300

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 102 :

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

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (378, 848, 102, 300) = 2.

Given numbers are 378, 848, 102, 300

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 102 are 2 x 3 x 17

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 378, 848, 102, 300 is 2.

Given numbers are 378, 848, 102, 300

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

Apply this formula for all numbers.

Step1:

LCM(378, 848) = 160272

GCD(378, 848) = ( 378 x 848 ) / 160272

= 378 / 848

= 378

Step2:

LCM(2, 102) = 102

GCD(2, 102) = ( 2 x 102 ) / 102

= 2 / 102

= 2

Step3:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

So, Greatest Common Divisor of 378, 848, 102, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 985, 651, 272, 633
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• GCD of 896, 851, 109, 517
• GCD of 308, 989, 290, 234
• GCD of 934, 799, 936, 823

Given numbers are 378, 848, 102, 300
The greatest common divisor of numbers 378, 848, 102, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 848, 102, 300 is 2.

1. What is the GCD of 378, 848, 102, 300?

GCD of given numbers 378, 848, 102, 300 is 2

2. How to calculate the greatest common divisor of 378, 848, 102, 300?

We can find the highest common divisor of 378, 848, 102, 300 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 378, 848, 102, 300 i.e 2.

3. How can I use the GCD of 378, 848, 102, 300Calculator?

Out the numbers 378, 848, 102, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.