GCD of 738, 672, 777, 135 Calculator

Given Input numbers are 738, 672, 777, 135

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (738, 672, 777, 135) = 3.

Given numbers are 738, 672, 777, 135

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 777 are 3 x 7 x 37

Prime factors of 135 are 3 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 738, 672, 777, 135 is 3.

Given numbers are 738, 672, 777, 135

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

Apply this formula for all numbers.

Step1:

LCM(738, 672) = 82656

GCD(738, 672) = ( 738 x 672 ) / 82656

= 738 / 672

= 738

Step2:

LCM(6, 777) = 1554

GCD(6, 777) = ( 6 x 777 ) / 1554

= 6 / 777

= 6

Step3:

LCM(3, 135) = 135

GCD(3, 135) = ( 3 x 135 ) / 135

= 3 / 135

= 3

So, Greatest Common Divisor of 738, 672, 777, 135 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 477, 353, 912, 614
• GCD of 375, 764, 347, 869
• GCD of 583, 694, 705, 672
• GCD of 623, 762, 346, 282
• GCD of 560, 127, 586, 564

Given numbers are 738, 672, 777, 135
The greatest common divisor of numbers 738, 672, 777, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 672, 777, 135 is 3.

1. What is the GCD of 738, 672, 777, 135?

GCD of given numbers 738, 672, 777, 135 is 3

2. How to calculate the greatest common divisor of 738, 672, 777, 135?

We can find the highest common divisor of 738, 672, 777, 135 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 738, 672, 777, 135 i.e 3.

3. How can I use the GCD of 738, 672, 777, 135Calculator?

Out the numbers 738, 672, 777, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.