LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 208/66, 470/449

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 208/66, 470/449 i.e 2/29634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 208/66, 470/449.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 208/66,470/449?

Given fractions are 208/66,470/449

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 208/66,470/449, numerators are 208,470

Denominators are 66,449

The GCF of 208,470 is 2 .

LCM of 66,449 is 29634.

The greatest common factor of 208/66,470/449 = [GCF of 208,470]/[LCM of 66,449]= 2/29634

Therefore, the GCF of 208/66,470/449 is 2/29634.

Greatest Common Factor of 208,470

To find the highest common factor of 208,470, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470

The HCF of 208,470 is 2.

Lets's calculate GCF of 208,470

Greatest Common Factor (GCF) of 208,470 By Common Division

2 208, 470
104, 235

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

Greatest Common Factor of 208,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,470 By Matching Biggest Common Factor Method

Now, list down the factors of 208

:

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

Now, list down the factors of 470

:

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 208,470 . The biggest common factor number is the GCF number.
So the greatest common factor 208,470 is 2.

Lets's calculate LCM of 66,449

Lowest Common Multiple of 66,449 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 29634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29634

Therefore, the GCF of Fractions 208/66,470/449 is 2/29634

Least Common Multiple of 66,449 with GCF Formula

Least Common Multiple of 66,449 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 66,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,449) = 1

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

GCF(66,449) x common factors =1 x 1 = 1

LCM(66,449) = ( 66 × 449 ) / 1

LCM(66,449) = 29634 / 1

LCM(66,449) = 29634


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 208/66, 470/449

1. What is the HCF of 208,470?

The HCF of 208,470 is 2

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 208/66, 470/449?

Answer: GCF of Numerators as per given numbers 208/66, 470/449 is

GCF of Numerators i.e. for 208,470 is 2

LCM of denominators i.e. for 66,449 is 29634.

Thus, GCF of Fractions is 2/29634.Finally, GCF of Fractions for 208/66, 470/449 is 2/29634.