GCD of 245, 310, 980, 350 Calculator

Given Input numbers are 245, 310, 980, 350

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

Divisors of 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

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 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (245, 310, 980, 350) = 5.

Given numbers are 245, 310, 980, 350

The list of prime factors of all numbers are

Prime factors of 245 are 5 x 7 x 7

Prime factors of 310 are 2 x 5 x 31

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

Prime factors of 350 are 2 x 5 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 245, 310, 980, 350 is 5.

Given numbers are 245, 310, 980, 350

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

Apply this formula for all numbers.

Step1:

LCM(245, 310) = 15190

GCD(245, 310) = ( 245 x 310 ) / 15190

= 245 / 310

= 245

Step2:

LCM(5, 980) = 980

GCD(5, 980) = ( 5 x 980 ) / 980

= 5 / 980

= 5

Step3:

LCM(5, 350) = 350

GCD(5, 350) = ( 5 x 350 ) / 350

= 5 / 350

= 5

So, Greatest Common Divisor of 245, 310, 980, 350 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 621, 943, 870, 518
• GCD of 791, 643, 401, 899
• GCD of 503, 802, 484, 661
• GCD of 445, 458, 388, 247
• GCD of 349, 721, 227, 251

Given numbers are 245, 310, 980, 350
The greatest common divisor of numbers 245, 310, 980, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 245, 310, 980, 350 is 5.

1. What is the GCD of 245, 310, 980, 350?

GCD of given numbers 245, 310, 980, 350 is 5

2. How to calculate the greatest common divisor of 245, 310, 980, 350?

We can find the highest common divisor of 245, 310, 980, 350 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 245, 310, 980, 350 i.e 5.

3. How can I use the GCD of 245, 310, 980, 350Calculator?

Out the numbers 245, 310, 980, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.