How to Find GCF of 8634/206, 2781/6151?

GCF of 8634/206, 2781/6151

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 8634/206, 2781/6151 i.e 3/1267106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8634/206, 2781/6151.

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 8634/206,2781/6151?

Given fractions are 8634/206,2781/6151

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 8634/206,2781/6151, numerators are 8634,2781

Denominators are 206,6151

The GCF of 8634,2781 is 3 .

LCM of 206,6151 is 1267106.

The greatest common factor of 8634/206,2781/6151 = [GCF of 8634,2781]/[LCM of 206,6151]= 3/1267106

Therefore, the GCF of 8634/206,2781/6151 is 3/1267106.

Greatest Common Factor of 8634,2781

To find the highest common factor of 8634,2781, we have to find the factors of both numbers and list the highest common factor.

The factors of 8634 are 1, 2, 3, 6, 1439, 2878, 4317, 8634

The factors of 2781 are 1, 3, 9, 27, 103, 309, 927, 2781

The HCF of 8634,2781 is 3.

Lets's calculate GCF of 8634,2781

Greatest Common Factor (GCF) of 8634,2781 By Common Division

3	8634, 2781
	2878, 927

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8634,2781 By Matching Biggest Common Factor Method

Now, list down the factors of 8634

1,2,3,6,1439,2878,4317,8634

Now, list down the factors of 2781

1,3,9,27,103,309,927,2781

Greatest Common Factor

We found the factors 8634,2781 . The biggest common factor number is the GCF number.
So the greatest common factor 8634,2781 is 3.

Lets's calculate LCM of 206,6151

Lowest Common Multiple of 206,6151 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1267106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1267106

Therefore, the GCF of Fractions 8634/206,2781/6151 is 3/1267106

Least Common Multiple of 206,6151 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 206,6151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,6151) = 1

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

GCF(206,6151) x common factors =1 x 1 = 1

LCM(206,6151) = ( 206 × 6151 ) / 1

LCM(206,6151) = 1267106 / 1

LCM(206,6151) = 1267106

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FAQs on GCF of Fractions of 8634/206, 2781/6151

1. What is the HCF of 8634,2781?

The HCF of 8634,2781 is 3

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 8634/206, 2781/6151?

Answer: GCF of Numerators as per given numbers 8634/206, 2781/6151 is

GCF of Numerators i.e. for 8634,2781 is 3

LCM of denominators i.e. for 206,6151 is 1267106.

Thus, GCF of Fractions is 3/1267106.Finally, GCF of Fractions for 8634/206, 2781/6151 is 3/1267106.