GCD of 721, 532, 938, 105 Calculator

Given Input numbers are 721, 532, 938, 105

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

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (721, 532, 938, 105) = 7.

Given numbers are 721, 532, 938, 105

The list of prime factors of all numbers are

Prime factors of 721 are 7 x 103

Prime factors of 532 are 2 x 2 x 7 x 19

Prime factors of 938 are 2 x 7 x 67

Prime factors of 105 are 3 x 5 x 7

The highest common occurrence is 7¹

Therefore, GCD of 721, 532, 938, 105 is 7.

Given numbers are 721, 532, 938, 105

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

Apply this formula for all numbers.

Step1:

LCM(721, 532) = 54796

GCD(721, 532) = ( 721 x 532 ) / 54796

= 721 / 532

= 721

Step2:

LCM(7, 938) = 938

GCD(7, 938) = ( 7 x 938 ) / 938

= 7 / 938

= 7

Step3:

LCM(7, 105) = 105

GCD(7, 105) = ( 7 x 105 ) / 105

= 7 / 105

= 7

So, Greatest Common Divisor of 721, 532, 938, 105 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 122, 303, 501
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Given numbers are 721, 532, 938, 105
The greatest common divisor of numbers 721, 532, 938, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 721, 532, 938, 105 is 7.

1. What is the GCD of 721, 532, 938, 105?

GCD of given numbers 721, 532, 938, 105 is 7

2. How to calculate the greatest common divisor of 721, 532, 938, 105?

We can find the highest common divisor of 721, 532, 938, 105 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 721, 532, 938, 105 i.e 7.

3. How can I use the GCD of 721, 532, 938, 105Calculator?

Out the numbers 721, 532, 938, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.