GCD of 740, 310, 820, 752 Calculator

Given Input numbers are 740, 310, 820, 752

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

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

GCD of numbers is the greatest common divisor

So, the GCD (740, 310, 820, 752) = 2.

Given numbers are 740, 310, 820, 752

The list of prime factors of all numbers are

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 310 are 2 x 5 x 31

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

The highest common occurrence is 2¹

Therefore, GCD of 740, 310, 820, 752 is 2.

Given numbers are 740, 310, 820, 752

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

Apply this formula for all numbers.

Step1:

LCM(740, 310) = 22940

GCD(740, 310) = ( 740 x 310 ) / 22940

= 740 / 310

= 740

Step2:

LCM(10, 820) = 820

GCD(10, 820) = ( 10 x 820 ) / 820

= 10 / 820

= 10

Step3:

LCM(10, 752) = 3760

GCD(10, 752) = ( 10 x 752 ) / 3760

= 10 / 752

= 10

So, Greatest Common Divisor of 740, 310, 820, 752 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 141, 873, 116, 418
• GCD of 157, 275, 869, 259
• GCD of 822, 929, 713, 707
• GCD of 601, 345, 131, 620
• GCD of 635, 477, 340, 419

Given numbers are 740, 310, 820, 752
The greatest common divisor of numbers 740, 310, 820, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 310, 820, 752 is 2.

1. What is the GCD of 740, 310, 820, 752?

GCD of given numbers 740, 310, 820, 752 is 2

2. How to calculate the greatest common divisor of 740, 310, 820, 752?

We can find the highest common divisor of 740, 310, 820, 752 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 740, 310, 820, 752 i.e 2.

3. How can I use the GCD of 740, 310, 820, 752Calculator?

Out the numbers 740, 310, 820, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.