GCD of 175, 420, 645, 755 Calculator

Given Input numbers are 175, 420, 645, 755

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

GCD of numbers is the greatest common divisor

So, the GCD (175, 420, 645, 755) = 5.

Given numbers are 175, 420, 645, 755

The list of prime factors of all numbers are

Prime factors of 175 are 5 x 5 x 7

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 645 are 3 x 5 x 43

Prime factors of 755 are 5 x 151

The highest common occurrence is 5¹

Therefore, GCD of 175, 420, 645, 755 is 5.

Given numbers are 175, 420, 645, 755

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

Apply this formula for all numbers.

Step1:

LCM(175, 420) = 2100

GCD(175, 420) = ( 175 x 420 ) / 2100

= 175 / 420

= 175

Step2:

LCM(35, 645) = 4515

GCD(35, 645) = ( 35 x 645 ) / 4515

= 35 / 645

= 35

Step3:

LCM(5, 755) = 755

GCD(5, 755) = ( 5 x 755 ) / 755

= 5 / 755

= 5

So, Greatest Common Divisor of 175, 420, 645, 755 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 726, 418, 202, 978
• GCD of 399, 858, 457, 132
• GCD of 337, 149, 915, 454
• GCD of 761, 126, 339, 526
• GCD of 454, 187, 991, 974

Given numbers are 175, 420, 645, 755
The greatest common divisor of numbers 175, 420, 645, 755 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 175, 420, 645, 755 is 5.

1. What is the GCD of 175, 420, 645, 755?

GCD of given numbers 175, 420, 645, 755 is 5

2. How to calculate the greatest common divisor of 175, 420, 645, 755?

We can find the highest common divisor of 175, 420, 645, 755 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, 420, 645, 755 i.e 5.

3. How can I use the GCD of 175, 420, 645, 755Calculator?

Out the numbers 175, 420, 645, 755 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.