GCD of 147, 138, 783 Calculator

Given Input numbers are 147, 138, 783

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

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 783 :

The positive integer divisors of 783 that completely divides 783 are.

1, 3, 9, 27, 29, 87, 261, 783

GCD of numbers is the greatest common divisor

So, the GCD (147, 138, 783) = 3.

Given numbers are 147, 138, 783

The list of prime factors of all numbers are

Prime factors of 147 are 3 x 7 x 7

Prime factors of 138 are 2 x 3 x 23

Prime factors of 783 are 3 x 3 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 147, 138, 783 is 3.

Given numbers are 147, 138, 783

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

Apply this formula for all numbers.

Step1:

LCM(147, 138) = 6762

GCD(147, 138) = ( 147 x 138 ) / 6762

= 147 / 138

= 147

Step2:

LCM(3, 783) = 783

GCD(3, 783) = ( 3 x 783 ) / 783

= 3 / 783

= 3

So, Greatest Common Divisor of 147, 138, 783 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 829, 947, 690
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Given numbers are 147, 138, 783
The greatest common divisor of numbers 147, 138, 783 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 138, 783 is 3.

1. What is the GCD of 147, 138, 783?

GCD of given numbers 147, 138, 783 is 3

2. How to calculate the greatest common divisor of 147, 138, 783?

We can find the highest common divisor of 147, 138, 783 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 147, 138, 783 i.e 3.

3. How can I use the GCD of 147, 138, 783Calculator?

Out the numbers 147, 138, 783 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.