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 17/206, 1267/4678

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 17/206, 1267/4678 i.e 1/481834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/206, 1267/4678.

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 17/206,1267/4678?

Given fractions are 17/206,1267/4678

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 17/206,1267/4678, numerators are 17,1267

Denominators are 206,4678

The GCF of 17,1267 is 1 .

LCM of 206,4678 is 481834.

The greatest common factor of 17/206,1267/4678 = [GCF of 17,1267]/[LCM of 206,4678]= 1/481834

Therefore, the GCF of 17/206,1267/4678 is 1/481834.

Greatest Common Factor of 17,1267

To find the highest common factor of 17,1267, we have to find the factors of both numbers and list the highest common factor.

The factors of 17 are 1, 17

The factors of 1267 are 1, 7, 181, 1267

The HCF of 17,1267 is 1.

Lets's calculate GCF of 17,1267

Greatest Common Factor (GCF) of 17,1267 By Common Division

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

Greatest Common Factor of 17,1267 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,1267 By Matching Biggest Common Factor Method

Now, list down the factors of 17

:

1,17

Now, list down the factors of 1267

:

1,7,181,1267

Greatest Common Factor

We found the factors 17,1267 . The biggest common factor number is the GCF number.
So the greatest common factor 17,1267 is 1.

Lets's calculate LCM of 206,4678

Lowest Common Multiple of 206,4678 using Common Division

2 206, 4678
103, 2339

∴ So the LCM of the given numbers is 2 x 103 x 2339 = 481834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/481834

Therefore, the GCF of Fractions 17/206,1267/4678 is 1/481834

Least Common Multiple of 206,4678 with GCF Formula

Least Common Multiple of 206,4678 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 206,4678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,4678) = 2

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

GCF(206,4678) x common factors =2 x 1 = 2

LCM(206,4678) = ( 206 × 4678 ) / 2

LCM(206,4678) = 963668 / 2

LCM(206,4678) = 481834


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 17/206, 1267/4678

1. What is the HCF of 17,1267?

The HCF of 17,1267 is 1

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 17/206, 1267/4678?

Answer: GCF of Numerators as per given numbers 17/206, 1267/4678 is

GCF of Numerators i.e. for 17,1267 is 1

LCM of denominators i.e. for 206,4678 is 481834.

Thus, GCF of Fractions is 1/481834.Finally, GCF of Fractions for 17/206, 1267/4678 is 1/481834.