GCD of 700, 101, 824, 490 Calculator

Given Input numbers are 700, 101, 824, 490

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

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

Divisors of 101 :

The positive integer divisors of 101 that completely divides 101 are.

1, 101

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (700, 101, 824, 490) = 1.

Given numbers are 700, 101, 824, 490

The list of prime factors of all numbers are

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

Prime factors of 101 are 101

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 490 are 2 x 5 x 7 x 7

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

Given numbers are 700, 101, 824, 490

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

Apply this formula for all numbers.

Step1:

LCM(700, 101) = 70700

GCD(700, 101) = ( 700 x 101 ) / 70700

= 700 / 101

= 700

Step2:

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

= 1 / 824

= 1

Step3:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1

So, Greatest Common Divisor of 700, 101, 824, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 609, 107, 563
• GCD of 604, 364, 886, 341
• GCD of 999, 476, 244, 707
• GCD of 985, 984, 384, 945
• GCD of 138, 347, 157, 183

Given numbers are 700, 101, 824, 490
The greatest common divisor of numbers 700, 101, 824, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 101, 824, 490 is 1.

1. What is the GCD of 700, 101, 824, 490?

GCD of given numbers 700, 101, 824, 490 is 1

2. How to calculate the greatest common divisor of 700, 101, 824, 490?

We can find the highest common divisor of 700, 101, 824, 490 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 700, 101, 824, 490 i.e 1.

3. How can I use the GCD of 700, 101, 824, 490Calculator?

Out the numbers 700, 101, 824, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.