GCD of 958, 214, 980, 977 Calculator

Given Input numbers are 958, 214, 980, 977

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

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

GCD of numbers is the greatest common divisor

So, the GCD (958, 214, 980, 977) = 1.

Given numbers are 958, 214, 980, 977

The list of prime factors of all numbers are

Prime factors of 958 are 2 x 479

Prime factors of 214 are 2 x 107

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 977 are 977

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

Given numbers are 958, 214, 980, 977

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

Apply this formula for all numbers.

Step1:

LCM(958, 214) = 102506

GCD(958, 214) = ( 958 x 214 ) / 102506

= 958 / 214

= 958

Step2:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2

Step3:

LCM(2, 977) = 1954

GCD(2, 977) = ( 2 x 977 ) / 1954

= 2 / 977

= 2

So, Greatest Common Divisor of 958, 214, 980, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 251, 153, 841
• GCD of 460, 479, 479, 569
• GCD of 682, 609, 909, 534
• GCD of 974, 169, 954, 116
• GCD of 999, 260, 581, 921

Given numbers are 958, 214, 980, 977
The greatest common divisor of numbers 958, 214, 980, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 958, 214, 980, 977 is 1.

1. What is the GCD of 958, 214, 980, 977?

GCD of given numbers 958, 214, 980, 977 is 1

2. How to calculate the greatest common divisor of 958, 214, 980, 977?

We can find the highest common divisor of 958, 214, 980, 977 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 958, 214, 980, 977 i.e 1.

3. How can I use the GCD of 958, 214, 980, 977Calculator?

Out the numbers 958, 214, 980, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.