GCD of 208, 343, 942, 175 Calculator

Given Input numbers are 208, 343, 942, 175

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

GCD of numbers is the greatest common divisor

So, the GCD (208, 343, 942, 175) = 1.

Given numbers are 208, 343, 942, 175

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 343 are 7 x 7 x 7

Prime factors of 942 are 2 x 3 x 157

Prime factors of 175 are 5 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 208, 343, 942, 175

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

Apply this formula for all numbers.

Step1:

LCM(208, 343) = 71344

GCD(208, 343) = ( 208 x 343 ) / 71344

= 208 / 343

= 208

Step2:

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

= 1 / 942

= 1

Step3:

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

= 1 / 175

= 1

So, Greatest Common Divisor of 208, 343, 942, 175 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 989, 892, 201
• GCD of 100, 309, 902, 380
• GCD of 572, 108, 836, 413
• GCD of 135, 913, 805, 510
• GCD of 139, 570, 355, 982

Given numbers are 208, 343, 942, 175
The greatest common divisor of numbers 208, 343, 942, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 343, 942, 175 is 1.

1. What is the GCD of 208, 343, 942, 175?

GCD of given numbers 208, 343, 942, 175 is 1

2. How to calculate the greatest common divisor of 208, 343, 942, 175?

We can find the highest common divisor of 208, 343, 942, 175 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 208, 343, 942, 175 i.e 1.

3. How can I use the GCD of 208, 343, 942, 175Calculator?

Out the numbers 208, 343, 942, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.