GCD of 945, 814, 538, 700 Calculator

Given Input numbers are 945, 814, 538, 700

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

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 (945, 814, 538, 700) = 1.

Given numbers are 945, 814, 538, 700

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 814 are 2 x 11 x 37

Prime factors of 538 are 2 x 269

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 945, 814, 538, 700

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

Apply this formula for all numbers.

Step1:

LCM(945, 814) = 769230

GCD(945, 814) = ( 945 x 814 ) / 769230

= 945 / 814

= 945

Step2:

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

= 1 / 538

= 1

Step3:

LCM(1, 700) = 700

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

= 1 / 700

= 1

So, Greatest Common Divisor of 945, 814, 538, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 619, 587, 715, 385
• GCD of 810, 661, 290, 982
• GCD of 660, 583, 732, 637
• GCD of 996, 699, 371, 281
• GCD of 688, 795, 422, 994

Given numbers are 945, 814, 538, 700
The greatest common divisor of numbers 945, 814, 538, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 814, 538, 700 is 1.

1. What is the GCD of 945, 814, 538, 700?

GCD of given numbers 945, 814, 538, 700 is 1

2. How to calculate the greatest common divisor of 945, 814, 538, 700?

We can find the highest common divisor of 945, 814, 538, 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 945, 814, 538, 700 i.e 1.

3. How can I use the GCD of 945, 814, 538, 700Calculator?

Out the numbers 945, 814, 538, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.