GCD of 700, 504, 98, 359 Calculator

Given Input numbers are 700, 504, 98, 359

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 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 98 :

The positive integer divisors of 98 that completely divides 98 are.

1, 2, 7, 14, 49, 98

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

GCD of numbers is the greatest common divisor

So, the GCD (700, 504, 98, 359) = 1.

Given numbers are 700, 504, 98, 359

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 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 98 are 2 x 7 x 7

Prime factors of 359 are 359

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

Given numbers are 700, 504, 98, 359

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

Apply this formula for all numbers.

Step1:

LCM(700, 504) = 12600

GCD(700, 504) = ( 700 x 504 ) / 12600

= 700 / 504

= 700

Step2:

LCM(28, 98) = 196

GCD(28, 98) = ( 28 x 98 ) / 196

= 28 / 98

= 28

Step3:

LCM(14, 359) = 5026

GCD(14, 359) = ( 14 x 359 ) / 5026

= 14 / 359

= 14

So, Greatest Common Divisor of 700, 504, 98, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 415, 27, 853
• GCD of 275, 356, 92, 232
• GCD of 256, 369, 87, 808
• GCD of 149, 711, 15, 364
• GCD of 603, 492, 99, 759

Given numbers are 700, 504, 98, 359
The greatest common divisor of numbers 700, 504, 98, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 504, 98, 359 is 1.

1. What is the GCD of 700, 504, 98, 359?

GCD of given numbers 700, 504, 98, 359 is 1

2. How to calculate the greatest common divisor of 700, 504, 98, 359?

We can find the highest common divisor of 700, 504, 98, 359 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, 504, 98, 359 i.e 1.

3. How can I use the GCD of 700, 504, 98, 359Calculator?

Out the numbers 700, 504, 98, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.