GCD of 938, 140, 112, 203 Calculator

Given Input numbers are 938, 140, 112, 203

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

Divisors of 938 :

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

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

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 203 :

The positive integer divisors of 203 that completely divides 203 are.

1, 7, 29, 203

GCD of numbers is the greatest common divisor

So, the GCD (938, 140, 112, 203) = 7.

Given numbers are 938, 140, 112, 203

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

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

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 203 are 7 x 29

The highest common occurrence is 7¹

Therefore, GCD of 938, 140, 112, 203 is 7.

Given numbers are 938, 140, 112, 203

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

Apply this formula for all numbers.

Step1:

LCM(938, 140) = 9380

GCD(938, 140) = ( 938 x 140 ) / 9380

= 938 / 140

= 938

Step2:

LCM(14, 112) = 112

GCD(14, 112) = ( 14 x 112 ) / 112

= 14 / 112

= 14

Step3:

LCM(14, 203) = 406

GCD(14, 203) = ( 14 x 203 ) / 406

= 14 / 203

= 14

So, Greatest Common Divisor of 938, 140, 112, 203 is 7

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Given numbers are 938, 140, 112, 203
The greatest common divisor of numbers 938, 140, 112, 203 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 140, 112, 203 is 7.

1. What is the GCD of 938, 140, 112, 203?

GCD of given numbers 938, 140, 112, 203 is 7

2. How to calculate the greatest common divisor of 938, 140, 112, 203?

We can find the highest common divisor of 938, 140, 112, 203 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 938, 140, 112, 203 i.e 7.

3. How can I use the GCD of 938, 140, 112, 203Calculator?

Out the numbers 938, 140, 112, 203 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.