GCD of 724, 120, 358, 140 Calculator

Given Input numbers are 724, 120, 358, 140

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD of numbers is the greatest common divisor

So, the GCD (724, 120, 358, 140) = 2.

Given numbers are 724, 120, 358, 140

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 358 are 2 x 179

Prime factors of 140 are 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 724, 120, 358, 140 is 2.

Given numbers are 724, 120, 358, 140

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

Apply this formula for all numbers.

Step1:

LCM(724, 120) = 21720

GCD(724, 120) = ( 724 x 120 ) / 21720

= 724 / 120

= 724

Step2:

LCM(4, 358) = 716

GCD(4, 358) = ( 4 x 358 ) / 716

= 4 / 358

= 4

Step3:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

So, Greatest Common Divisor of 724, 120, 358, 140 is 2

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Given numbers are 724, 120, 358, 140
The greatest common divisor of numbers 724, 120, 358, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 120, 358, 140 is 2.

1. What is the GCD of 724, 120, 358, 140?

GCD of given numbers 724, 120, 358, 140 is 2

2. How to calculate the greatest common divisor of 724, 120, 358, 140?

We can find the highest common divisor of 724, 120, 358, 140 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, 120, 358, 140 i.e 2.

3. How can I use the GCD of 724, 120, 358, 140Calculator?

Out the numbers 724, 120, 358, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.