GCD of 148, 726, 460, 480 Calculator

Given Input numbers are 148, 726, 460, 480

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

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (148, 726, 460, 480) = 2.

Given numbers are 148, 726, 460, 480

The list of prime factors of all numbers are

Prime factors of 148 are 2 x 2 x 37

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 148, 726, 460, 480 is 2.

Given numbers are 148, 726, 460, 480

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

Apply this formula for all numbers.

Step1:

LCM(148, 726) = 53724

GCD(148, 726) = ( 148 x 726 ) / 53724

= 148 / 726

= 148

Step2:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

Step3:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

So, Greatest Common Divisor of 148, 726, 460, 480 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 825, 598, 886
• GCD of 535, 312, 308, 773
• GCD of 211, 926, 926, 614
• GCD of 541, 689, 412, 187
• GCD of 197, 929, 450, 656

Given numbers are 148, 726, 460, 480
The greatest common divisor of numbers 148, 726, 460, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 726, 460, 480 is 2.

1. What is the GCD of 148, 726, 460, 480?

GCD of given numbers 148, 726, 460, 480 is 2

2. How to calculate the greatest common divisor of 148, 726, 460, 480?

We can find the highest common divisor of 148, 726, 460, 480 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 148, 726, 460, 480 i.e 2.

3. How can I use the GCD of 148, 726, 460, 480Calculator?

Out the numbers 148, 726, 460, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.