GCD of 120, 741, 945, 891 Calculator

Given Input numbers are 120, 741, 945, 891

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

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 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

GCD of numbers is the greatest common divisor

So, the GCD (120, 741, 945, 891) = 3.

Given numbers are 120, 741, 945, 891

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 741 are 3 x 13 x 19

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

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 120, 741, 945, 891 is 3.

Given numbers are 120, 741, 945, 891

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

Apply this formula for all numbers.

Step1:

LCM(120, 741) = 29640

GCD(120, 741) = ( 120 x 741 ) / 29640

= 120 / 741

= 120

Step2:

LCM(3, 945) = 945

GCD(3, 945) = ( 3 x 945 ) / 945

= 3 / 945

= 3

Step3:

LCM(3, 891) = 891

GCD(3, 891) = ( 3 x 891 ) / 891

= 3 / 891

= 3

So, Greatest Common Divisor of 120, 741, 945, 891 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 281, 815, 668
• GCD of 921, 923, 476, 360
• GCD of 735, 126, 988, 576
• GCD of 222, 380, 547, 132
• GCD of 475, 700, 620, 408

Given numbers are 120, 741, 945, 891
The greatest common divisor of numbers 120, 741, 945, 891 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 741, 945, 891 is 3.

1. What is the GCD of 120, 741, 945, 891?

GCD of given numbers 120, 741, 945, 891 is 3

2. How to calculate the greatest common divisor of 120, 741, 945, 891?

We can find the highest common divisor of 120, 741, 945, 891 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 120, 741, 945, 891 i.e 3.

3. How can I use the GCD of 120, 741, 945, 891Calculator?

Out the numbers 120, 741, 945, 891 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.