GCD of 720, 498, 870, 746 Calculator

Given Input numbers are 720, 498, 870, 746

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (720, 498, 870, 746) = 2.

Given numbers are 720, 498, 870, 746

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 498 are 2 x 3 x 83

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 720, 498, 870, 746 is 2.

Given numbers are 720, 498, 870, 746

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

Apply this formula for all numbers.

Step1:

LCM(720, 498) = 59760

GCD(720, 498) = ( 720 x 498 ) / 59760

= 720 / 498

= 720

Step2:

LCM(6, 870) = 870

GCD(6, 870) = ( 6 x 870 ) / 870

= 6 / 870

= 6

Step3:

LCM(6, 746) = 2238

GCD(6, 746) = ( 6 x 746 ) / 2238

= 6 / 746

= 6

So, Greatest Common Divisor of 720, 498, 870, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 744, 798, 231
• GCD of 535, 240, 399, 564
• GCD of 125, 666, 120, 115
• GCD of 319, 338, 573, 644
• GCD of 656, 459, 242, 553

Given numbers are 720, 498, 870, 746
The greatest common divisor of numbers 720, 498, 870, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 498, 870, 746 is 2.

1. What is the GCD of 720, 498, 870, 746?

GCD of given numbers 720, 498, 870, 746 is 2

2. How to calculate the greatest common divisor of 720, 498, 870, 746?

We can find the highest common divisor of 720, 498, 870, 746 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 720, 498, 870, 746 i.e 2.

3. How can I use the GCD of 720, 498, 870, 746Calculator?

Out the numbers 720, 498, 870, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.