GCD of 498, 897, 775, 700 Calculator

Given Input numbers are 498, 897, 775, 700

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (498, 897, 775, 700) = 1.

Given numbers are 498, 897, 775, 700

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 897 are 3 x 13 x 23

Prime factors of 775 are 5 x 5 x 31

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

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

Given numbers are 498, 897, 775, 700

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

Apply this formula for all numbers.

Step1:

LCM(498, 897) = 148902

GCD(498, 897) = ( 498 x 897 ) / 148902

= 498 / 897

= 498

Step2:

LCM(3, 775) = 2325

GCD(3, 775) = ( 3 x 775 ) / 2325

= 3 / 775

= 3

Step3:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

So, Greatest Common Divisor of 498, 897, 775, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 852, 201, 174, 332
• GCD of 890, 394, 601, 284
• GCD of 801, 295, 306, 110
• GCD of 203, 887, 941, 252
• GCD of 688, 715, 714, 384

Given numbers are 498, 897, 775, 700
The greatest common divisor of numbers 498, 897, 775, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 897, 775, 700 is 1.

1. What is the GCD of 498, 897, 775, 700?

GCD of given numbers 498, 897, 775, 700 is 1

2. How to calculate the greatest common divisor of 498, 897, 775, 700?

We can find the highest common divisor of 498, 897, 775, 700 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 498, 897, 775, 700 i.e 1.

3. How can I use the GCD of 498, 897, 775, 700Calculator?

Out the numbers 498, 897, 775, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.