GCD of 700, 998, 343, 114 Calculator

Given Input numbers are 700, 998, 343, 114

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 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (700, 998, 343, 114) = 1.

Given numbers are 700, 998, 343, 114

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 998 are 2 x 499

Prime factors of 343 are 7 x 7 x 7

Prime factors of 114 are 2 x 3 x 19

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

Given numbers are 700, 998, 343, 114

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

Apply this formula for all numbers.

Step1:

LCM(700, 998) = 349300

GCD(700, 998) = ( 700 x 998 ) / 349300

= 700 / 998

= 700

Step2:

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

= 2 / 343

= 2

Step3:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1

So, Greatest Common Divisor of 700, 998, 343, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 865, 652, 887, 241
• GCD of 298, 539, 261, 822
• GCD of 118, 749, 736, 289
• GCD of 636, 962, 518, 919
• GCD of 452, 175, 848, 816

Given numbers are 700, 998, 343, 114
The greatest common divisor of numbers 700, 998, 343, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 998, 343, 114 is 1.

1. What is the GCD of 700, 998, 343, 114?

GCD of given numbers 700, 998, 343, 114 is 1

2. How to calculate the greatest common divisor of 700, 998, 343, 114?

We can find the highest common divisor of 700, 998, 343, 114 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, 998, 343, 114 i.e 1.

3. How can I use the GCD of 700, 998, 343, 114Calculator?

Out the numbers 700, 998, 343, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.