GCD of 175, 160, 675, 535 Calculator

Given Input numbers are 175, 160, 675, 535

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 535 :

The positive integer divisors of 535 that completely divides 535 are.

1, 5, 107, 535

GCD of numbers is the greatest common divisor

So, the GCD (175, 160, 675, 535) = 5.

Given numbers are 175, 160, 675, 535

The list of prime factors of all numbers are

Prime factors of 175 are 5 x 5 x 7

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 535 are 5 x 107

The highest common occurrence is 5¹

Therefore, GCD of 175, 160, 675, 535 is 5.

Given numbers are 175, 160, 675, 535

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

Apply this formula for all numbers.

Step1:

LCM(175, 160) = 5600

GCD(175, 160) = ( 175 x 160 ) / 5600

= 175 / 160

= 175

Step2:

LCM(5, 675) = 675

GCD(5, 675) = ( 5 x 675 ) / 675

= 5 / 675

= 5

Step3:

LCM(5, 535) = 535

GCD(5, 535) = ( 5 x 535 ) / 535

= 5 / 535

= 5

So, Greatest Common Divisor of 175, 160, 675, 535 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 395, 649, 676, 957
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• GCD of 245, 491, 250, 315
• GCD of 549, 668, 468, 264
• GCD of 930, 119, 917, 437

Given numbers are 175, 160, 675, 535
The greatest common divisor of numbers 175, 160, 675, 535 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 175, 160, 675, 535 is 5.

1. What is the GCD of 175, 160, 675, 535?

GCD of given numbers 175, 160, 675, 535 is 5

2. How to calculate the greatest common divisor of 175, 160, 675, 535?

We can find the highest common divisor of 175, 160, 675, 535 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, 160, 675, 535 i.e 5.

3. How can I use the GCD of 175, 160, 675, 535Calculator?

Out the numbers 175, 160, 675, 535 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.