GCD of 949, 953, 314, 700 Calculator

Given Input numbers are 949, 953, 314, 700

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

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

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 (949, 953, 314, 700) = 1.

Given numbers are 949, 953, 314, 700

The list of prime factors of all numbers are

Prime factors of 949 are 13 x 73

Prime factors of 953 are 953

Prime factors of 314 are 2 x 157

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 949, 953, 314, 700

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

Apply this formula for all numbers.

Step1:

LCM(949, 953) = 904397

GCD(949, 953) = ( 949 x 953 ) / 904397

= 949 / 953

= 949

Step2:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

Step3:

LCM(1, 700) = 700

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

= 1 / 700

= 1

So, Greatest Common Divisor of 949, 953, 314, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 794, 368, 553, 616
• GCD of 563, 194, 208, 777
• GCD of 672, 239, 654, 350
• GCD of 582, 163, 904, 952
• GCD of 518, 461, 547, 575

Given numbers are 949, 953, 314, 700
The greatest common divisor of numbers 949, 953, 314, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 949, 953, 314, 700 is 1.

1. What is the GCD of 949, 953, 314, 700?

GCD of given numbers 949, 953, 314, 700 is 1

2. How to calculate the greatest common divisor of 949, 953, 314, 700?

We can find the highest common divisor of 949, 953, 314, 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 949, 953, 314, 700 i.e 1.

3. How can I use the GCD of 949, 953, 314, 700Calculator?

Out the numbers 949, 953, 314, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.