GCD of 762, 126, 867, 378 Calculator

Given Input numbers are 762, 126, 867, 378

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

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

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

GCD of numbers is the greatest common divisor

So, the GCD (762, 126, 867, 378) = 3.

Given numbers are 762, 126, 867, 378

The list of prime factors of all numbers are

Prime factors of 762 are 2 x 3 x 127

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 867 are 3 x 17 x 17

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

The highest common occurrence is 3¹

Therefore, GCD of 762, 126, 867, 378 is 3.

Given numbers are 762, 126, 867, 378

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

Apply this formula for all numbers.

Step1:

LCM(762, 126) = 16002

GCD(762, 126) = ( 762 x 126 ) / 16002

= 762 / 126

= 762

Step2:

LCM(6, 867) = 1734

GCD(6, 867) = ( 6 x 867 ) / 1734

= 6 / 867

= 6

Step3:

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

= 3 / 378

= 3

So, Greatest Common Divisor of 762, 126, 867, 378 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 375, 684, 999, 921
• GCD of 281, 979, 693, 695
• GCD of 218, 438, 721, 486
• GCD of 841, 761, 576, 440
• GCD of 461, 764, 131, 581

Given numbers are 762, 126, 867, 378
The greatest common divisor of numbers 762, 126, 867, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 762, 126, 867, 378 is 3.

1. What is the GCD of 762, 126, 867, 378?

GCD of given numbers 762, 126, 867, 378 is 3

2. How to calculate the greatest common divisor of 762, 126, 867, 378?

We can find the highest common divisor of 762, 126, 867, 378 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 762, 126, 867, 378 i.e 3.

3. How can I use the GCD of 762, 126, 867, 378Calculator?

Out the numbers 762, 126, 867, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.