GCD of 945, 742, 798 Calculator

Given Input numbers are 945, 742, 798

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

GCD of numbers is the greatest common divisor

So, the GCD (945, 742, 798) = 7.

Given numbers are 945, 742, 798

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 742 are 2 x 7 x 53

Prime factors of 798 are 2 x 3 x 7 x 19

The highest common occurrence is 7¹

Therefore, GCD of 945, 742, 798 is 7.

Given numbers are 945, 742, 798

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

Apply this formula for all numbers.

Step1:

LCM(945, 742) = 100170

GCD(945, 742) = ( 945 x 742 ) / 100170

= 945 / 742

= 945

Step2:

LCM(7, 798) = 798

GCD(7, 798) = ( 7 x 798 ) / 798

= 7 / 798

= 7

So, Greatest Common Divisor of 945, 742, 798 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 802, 822
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Given numbers are 945, 742, 798
The greatest common divisor of numbers 945, 742, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 742, 798 is 7.

1. What is the GCD of 945, 742, 798?

GCD of given numbers 945, 742, 798 is 7

2. How to calculate the greatest common divisor of 945, 742, 798?

We can find the highest common divisor of 945, 742, 798 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, 742, 798 i.e 7.

3. How can I use the GCD of 945, 742, 798Calculator?

Out the numbers 945, 742, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.