How to Find GCF of 8206/208, 2917/8744?

GCF of 8206/208, 2917/8744

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 8206/208, 2917/8744 i.e 1/227344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8206/208, 2917/8744.

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 8206/208,2917/8744?

Given fractions are 8206/208,2917/8744

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 8206/208,2917/8744, numerators are 8206,2917

Denominators are 208,8744

The GCF of 8206,2917 is 1 .

LCM of 208,8744 is 227344.

The greatest common factor of 8206/208,2917/8744 = [GCF of 8206,2917]/[LCM of 208,8744]= 1/227344

Therefore, the GCF of 8206/208,2917/8744 is 1/227344.

Greatest Common Factor of 8206,2917

To find the highest common factor of 8206,2917, we have to find the factors of both numbers and list the highest common factor.

The factors of 8206 are 1, 2, 11, 22, 373, 746, 4103, 8206

The factors of 2917 are 1, 2917

The HCF of 8206,2917 is 1.

Lets's calculate GCF of 8206,2917

Greatest Common Factor (GCF) of 8206,2917 By Common Division

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

Greatest Common Factor of 8206,2917 By Matching Biggest Common Factor Method

Now, list down the factors of 8206

1,2,11,22,373,746,4103,8206

Now, list down the factors of 2917

1,2917

Greatest Common Factor

We found the factors 8206,2917 . The biggest common factor number is the GCF number.
So the greatest common factor 8206,2917 is 1.

Lets's calculate LCM of 208,8744

Lowest Common Multiple of 208,8744 using Common Division

2	208, 8744
2	104, 4372
2	52, 2186
	26, 1093

∴ So the LCM of the given numbers is 2 x 2 x 2 x 26 x 1093 = 227344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227344

Therefore, the GCF of Fractions 8206/208,2917/8744 is 1/227344

Least Common Multiple of 208,8744 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 208,8744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,8744) = 8

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

GCF(208,8744) x common factors =8 x 1 = 8

LCM(208,8744) = ( 208 × 8744 ) / 8

LCM(208,8744) = 1818752 / 8

LCM(208,8744) = 227344

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FAQs on GCF of Fractions of 8206/208, 2917/8744

1. What is the HCF of 8206,2917?

The HCF of 8206,2917 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 8206/208, 2917/8744?

Answer: GCF of Numerators as per given numbers 8206/208, 2917/8744 is

GCF of Numerators i.e. for 8206,2917 is 1

LCM of denominators i.e. for 208,8744 is 227344.

Thus, GCF of Fractions is 1/227344.Finally, GCF of Fractions for 8206/208, 2917/8744 is 1/227344.