GCD of 175, 343, 220, 196 Calculator

Given Input numbers are 175, 343, 220, 196

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

Divisors of 175 :

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

1, 5, 7, 25, 35, 175

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

GCD of numbers is the greatest common divisor

So, the GCD (175, 343, 220, 196) = 1.

Given numbers are 175, 343, 220, 196

The list of prime factors of all numbers are

Prime factors of 175 are 5 x 5 x 7

Prime factors of 343 are 7 x 7 x 7

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 196 are 2 x 2 x 7 x 7

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

Given numbers are 175, 343, 220, 196

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

Apply this formula for all numbers.

Step1:

LCM(175, 343) = 8575

GCD(175, 343) = ( 175 x 343 ) / 8575

= 175 / 343

= 175

Step2:

LCM(7, 220) = 1540

GCD(7, 220) = ( 7 x 220 ) / 1540

= 7 / 220

= 7

Step3:

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

= 1 / 196

= 1

So, Greatest Common Divisor of 175, 343, 220, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 478, 278, 884, 131
• GCD of 225, 142, 384, 261
• GCD of 920, 138, 806, 286
• GCD of 704, 157, 731, 911
• GCD of 963, 847, 748, 204

Given numbers are 175, 343, 220, 196
The greatest common divisor of numbers 175, 343, 220, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 175, 343, 220, 196 is 1.

1. What is the GCD of 175, 343, 220, 196?

GCD of given numbers 175, 343, 220, 196 is 1

2. How to calculate the greatest common divisor of 175, 343, 220, 196?

We can find the highest common divisor of 175, 343, 220, 196 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 175, 343, 220, 196 i.e 1.

3. How can I use the GCD of 175, 343, 220, 196Calculator?

Out the numbers 175, 343, 220, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.