GCD of 724, 848, 940, 588 Calculator

Given Input numbers are 724, 848, 940, 588

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

GCD of numbers is the greatest common divisor

So, the GCD (724, 848, 940, 588) = 4.

Given numbers are 724, 848, 940, 588

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 940 are 2 x 2 x 5 x 47

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

The highest common occurrence is 2²

Therefore, GCD of 724, 848, 940, 588 is 4.

Given numbers are 724, 848, 940, 588

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

Apply this formula for all numbers.

Step1:

LCM(724, 848) = 153488

GCD(724, 848) = ( 724 x 848 ) / 153488

= 724 / 848

= 724

Step2:

LCM(4, 940) = 940

GCD(4, 940) = ( 4 x 940 ) / 940

= 4 / 940

= 4

Step3:

LCM(4, 588) = 588

GCD(4, 588) = ( 4 x 588 ) / 588

= 4 / 588

= 4

So, Greatest Common Divisor of 724, 848, 940, 588 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 831, 163, 848
• GCD of 799, 365, 876, 460
• GCD of 565, 956, 682, 715
• GCD of 916, 919, 778, 173
• GCD of 504, 821, 817, 670

Given numbers are 724, 848, 940, 588
The greatest common divisor of numbers 724, 848, 940, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 848, 940, 588 is 4.

1. What is the GCD of 724, 848, 940, 588?

GCD of given numbers 724, 848, 940, 588 is 4

2. How to calculate the greatest common divisor of 724, 848, 940, 588?

We can find the highest common divisor of 724, 848, 940, 588 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 724, 848, 940, 588 i.e 4.

3. How can I use the GCD of 724, 848, 940, 588Calculator?

Out the numbers 724, 848, 940, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.