How to Find GCF of 80/559, 8048/9875?

GCF of 80/559, 8048/9875

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 80/559, 8048/9875 i.e 16/5520125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 80/559, 8048/9875.

Enter two or more fractions separated by "commas"

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

What is the GCF of 80/559,8048/9875?

Given fractions are 80/559,8048/9875

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 80/559,8048/9875, numerators are 80,8048

Denominators are 559,9875

The GCF of 80,8048 is 16 .

LCM of 559,9875 is 5520125.

The greatest common factor of 80/559,8048/9875 = [GCF of 80,8048]/[LCM of 559,9875]= 16/5520125

Therefore, the GCF of 80/559,8048/9875 is 16/5520125.

Greatest Common Factor of 80,8048

To find the highest common factor of 80,8048, we have to find the factors of both numbers and list the highest common factor.

The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factors of 8048 are 1, 2, 4, 8, 16, 503, 1006, 2012, 4024, 8048

The HCF of 80,8048 is 16.

Lets's calculate GCF of 80,8048

Greatest Common Factor (GCF) of 80,8048 By Common Division

2	80, 8048
2	40, 4024
2	20, 2012
2	10, 1006
	5, 503

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 80,8048 By Matching Biggest Common Factor Method

Now, list down the factors of 80

1,2,4,5,8,10,16,20,40,80

Now, list down the factors of 8048

1,2,4,8,16,503,1006,2012,4024,8048

Greatest Common Factor

We found the factors 80,8048 . The biggest common factor number is the GCF number.
So the greatest common factor 80,8048 is 16.

Lets's calculate LCM of 559,9875

Lowest Common Multiple of 559,9875 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5520125

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/5520125

Therefore, the GCF of Fractions 80/559,8048/9875 is 16/5520125

Least Common Multiple of 559,9875 with GCF Formula

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

We need to calculate greatest common factor of 559,9875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(559,9875) = 1

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

GCF(559,9875) x common factors =1 x 1 = 1

LCM(559,9875) = ( 559 × 9875 ) / 1

LCM(559,9875) = 5520125 / 1

LCM(559,9875) = 5520125

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 80/559, 8048/9875

1. What is the HCF of 80,8048?

The HCF of 80,8048 is 16

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 80/559, 8048/9875?

Answer: GCF of Numerators as per given numbers 80/559, 8048/9875 is

GCF of Numerators i.e. for 80,8048 is 16

LCM of denominators i.e. for 559,9875 is 5520125.

Thus, GCF of Fractions is 16/5520125.Finally, GCF of Fractions for 80/559, 8048/9875 is 16/5520125.