How to Find GCF of 568/80, 208/777?

GCF of 568/80, 208/777

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 568/80, 208/777 i.e 8/62160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 568/80, 208/777.

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 568/80,208/777?

Given fractions are 568/80,208/777

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 568/80,208/777, numerators are 568,208

Denominators are 80,777

The GCF of 568,208 is 8 .

LCM of 80,777 is 62160.

The greatest common factor of 568/80,208/777 = [GCF of 568,208]/[LCM of 80,777]= 8/62160

Therefore, the GCF of 568/80,208/777 is 8/62160.

Greatest Common Factor of 568,208

To find the highest common factor of 568,208, we have to find the factors of both numbers and list the highest common factor.

The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568

The factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

The HCF of 568,208 is 8.

Lets's calculate GCF of 568,208

Greatest Common Factor (GCF) of 568,208 By Common Division

2	568, 208
2	284, 104
2	142, 52
	71, 26

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 568,208 By Matching Biggest Common Factor Method

Now, list down the factors of 568

1,2,4,8,71,142,284,568

Now, list down the factors of 208

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 568,208 . The biggest common factor number is the GCF number.
So the greatest common factor 568,208 is 8.

Lets's calculate LCM of 80,777

Lowest Common Multiple of 80,777 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 62160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/62160

Therefore, the GCF of Fractions 568/80,208/777 is 8/62160

Least Common Multiple of 80,777 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 80,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,777) = 1

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

GCF(80,777) x common factors =1 x 1 = 1

LCM(80,777) = ( 80 × 777 ) / 1

LCM(80,777) = 62160 / 1

LCM(80,777) = 62160

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 568/80, 208/777

1. What is the HCF of 568,208?

The HCF of 568,208 is 8

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 568/80, 208/777?

Answer: GCF of Numerators as per given numbers 568/80, 208/777 is

GCF of Numerators i.e. for 568,208 is 8

LCM of denominators i.e. for 80,777 is 62160.

Thus, GCF of Fractions is 8/62160.Finally, GCF of Fractions for 568/80, 208/777 is 8/62160.