GCD of 457, 471, 748, 700 Calculator

Given Input numbers are 457, 471, 748, 700

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

Divisors of 457 :

The positive integer divisors of 457 that completely divides 457 are.

1, 457

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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 (457, 471, 748, 700) = 1.

Given numbers are 457, 471, 748, 700

The list of prime factors of all numbers are

Prime factors of 457 are 457

Prime factors of 471 are 3 x 157

Prime factors of 748 are 2 x 2 x 11 x 17

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 457, 471, 748, 700

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

Apply this formula for all numbers.

Step1:

LCM(457, 471) = 215247

GCD(457, 471) = ( 457 x 471 ) / 215247

= 457 / 471

= 457

Step2:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

Step3:

LCM(1, 700) = 700

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

= 1 / 700

= 1

So, Greatest Common Divisor of 457, 471, 748, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 448, 270, 645
• GCD of 494, 419, 536, 682
• GCD of 404, 778, 579, 970
• GCD of 250, 109, 971, 971
• GCD of 302, 720, 507, 701

Given numbers are 457, 471, 748, 700
The greatest common divisor of numbers 457, 471, 748, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 457, 471, 748, 700 is 1.

1. What is the GCD of 457, 471, 748, 700?

GCD of given numbers 457, 471, 748, 700 is 1

2. How to calculate the greatest common divisor of 457, 471, 748, 700?

We can find the highest common divisor of 457, 471, 748, 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 457, 471, 748, 700 i.e 1.

3. How can I use the GCD of 457, 471, 748, 700Calculator?

Out the numbers 457, 471, 748, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.