GCD of 735, 651, 182 Calculator

Given Input numbers are 735, 651, 182

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 651 :

The positive integer divisors of 651 that completely divides 651 are.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

GCD of numbers is the greatest common divisor

So, the GCD (735, 651, 182) = 7.

Given numbers are 735, 651, 182

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 651 are 3 x 7 x 31

Prime factors of 182 are 2 x 7 x 13

The highest common occurrence is 7¹

Therefore, GCD of 735, 651, 182 is 7.

Given numbers are 735, 651, 182

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

Apply this formula for all numbers.

Step1:

LCM(735, 651) = 22785

GCD(735, 651) = ( 735 x 651 ) / 22785

= 735 / 651

= 735

Step2:

LCM(21, 182) = 546

GCD(21, 182) = ( 21 x 182 ) / 546

= 21 / 182

= 21

So, Greatest Common Divisor of 735, 651, 182 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 297, 271
• GCD of 435, 920, 108
• GCD of 921, 886, 921
• GCD of 563, 684, 894
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Given numbers are 735, 651, 182
The greatest common divisor of numbers 735, 651, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 651, 182 is 7.

1. What is the GCD of 735, 651, 182?

GCD of given numbers 735, 651, 182 is 7

2. How to calculate the greatest common divisor of 735, 651, 182?

We can find the highest common divisor of 735, 651, 182 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 735, 651, 182 i.e 7.

3. How can I use the GCD of 735, 651, 182Calculator?

Out the numbers 735, 651, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.