GCD of 945, 126, 942, 849 Calculator

Given Input numbers are 945, 126, 942, 849

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

GCD of numbers is the greatest common divisor

So, the GCD (945, 126, 942, 849) = 3.

Given numbers are 945, 126, 942, 849

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

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

Prime factors of 942 are 2 x 3 x 157

Prime factors of 849 are 3 x 283

The highest common occurrence is 3¹

Therefore, GCD of 945, 126, 942, 849 is 3.

Given numbers are 945, 126, 942, 849

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

Apply this formula for all numbers.

Step1:

LCM(945, 126) = 1890

GCD(945, 126) = ( 945 x 126 ) / 1890

= 945 / 126

= 945

Step2:

LCM(63, 942) = 19782

GCD(63, 942) = ( 63 x 942 ) / 19782

= 63 / 942

= 63

Step3:

LCM(3, 849) = 849

GCD(3, 849) = ( 3 x 849 ) / 849

= 3 / 849

= 3

So, Greatest Common Divisor of 945, 126, 942, 849 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 321, 857, 554
• GCD of 471, 745, 706, 921
• GCD of 743, 792, 657, 381
• GCD of 817, 662, 165, 983
• GCD of 814, 614, 215, 444

Given numbers are 945, 126, 942, 849
The greatest common divisor of numbers 945, 126, 942, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 126, 942, 849 is 3.

1. What is the GCD of 945, 126, 942, 849?

GCD of given numbers 945, 126, 942, 849 is 3

2. How to calculate the greatest common divisor of 945, 126, 942, 849?

We can find the highest common divisor of 945, 126, 942, 849 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 945, 126, 942, 849 i.e 3.

3. How can I use the GCD of 945, 126, 942, 849Calculator?

Out the numbers 945, 126, 942, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.