Greatest Common Factor of 245/65, 310/71, 616/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 245/65, 310/71, 616/304

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 245/65,310/71,616/304

Given fractions are 245/65,310/71,616/304

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 245,310,616

Greatest Common Factor of Numerators i.e. GCF of 245,310,616 is 1 .

LCM of Denominators means LCM of 65,71,304 as per the given fractions.

LCM of 65,71,304 is 1402960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 245,310,616

GCF of Fractions 245/65,310/71,616/304 is 1/1402960

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 245,310,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,310,616 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

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

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 245,310,616 . The biggest common factor number is the GCF number.
So the greatest common factor 245,310,616 is 1.

Lets's calculate LCM of 65,71,304

Given numbers has no common factors except 1. So, there LCM is their product i.e 1402960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1402960

Therefore, the GCF of Fractions 245/65,310/71,616/304 is 1/1402960

Least Common Multiple of 65,71,304 with GCF Formula

Least Common Multiple of 65,71,304 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 65,71,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,71,304) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(65,71,304) x common factors =1 x 1 = 1

LCM(65,71,304) = ( 65 × 71 × 304 ) / 1

LCM(65,71,304) = 1402960 / 1

LCM(65,71,304) = 1402960


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 245/65, 310/71, 616/304

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 245/65, 310/71, 616/304?

Answer: GCF of Numerators as per given numbers 245/65, 310/71, 616/304 is

GCF of Numerators i.e. for 245,310,616 is 1

LCM of denominators i.e. for 65,71,304 is 1402960.

Thus, GCF of Fractions is 1/1402960.Finally, GCF of Fractions for 245/65, 310/71, 616/304 is 1/1402960.