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GCF of 818/28, 678/266

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 818/28, 678/266 i.e 2/532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 818/28, 678/266.

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 818/28,678/266?

Given fractions are 818/28,678/266

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 818/28,678/266, numerators are 818,678

Denominators are 28,266

The GCF of 818,678 is 2 .

LCM of 28,266 is 532.

The greatest common factor of 818/28,678/266 = [GCF of 818,678]/[LCM of 28,266]= 2/532

Therefore, the GCF of 818/28,678/266 is 2/532.

Greatest Common Factor of 818,678

To find the highest common factor of 818,678, we have to find the factors of both numbers and list the highest common factor.

The factors of 818 are 1, 2, 409, 818

The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678

The HCF of 818,678 is 2.

Lets's calculate GCF of 818,678

Greatest Common Factor (GCF) of 818,678 By Common Division

2 818, 678
409, 339

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

Greatest Common Factor of 818,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 818,678 By Matching Biggest Common Factor Method

Now, list down the factors of 818

:

1,2,409,818

Now, list down the factors of 678

:

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 818,678 . The biggest common factor number is the GCF number.
So the greatest common factor 818,678 is 2.

Lets's calculate LCM of 28,266

Lowest Common Multiple of 28,266 using Common Division

2 28, 266
7 14, 133
2, 19

∴ So the LCM of the given numbers is 2 x 7 x 2 x 19 = 532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/532

Therefore, the GCF of Fractions 818/28,678/266 is 2/532

Least Common Multiple of 28,266 with GCF Formula

Least Common Multiple of 28,266 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 28,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,266) = 14

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

GCF(28,266) x common factors =14 x 1 = 14

LCM(28,266) = ( 28 × 266 ) / 14

LCM(28,266) = 7448 / 14

LCM(28,266) = 532


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FAQs on GCF of Fractions of 818/28, 678/266

1. What is the HCF of 818,678?

The HCF of 818,678 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 818/28, 678/266?

Answer: GCF of Numerators as per given numbers 818/28, 678/266 is

GCF of Numerators i.e. for 818,678 is 2

LCM of denominators i.e. for 28,266 is 532.

Thus, GCF of Fractions is 2/532.Finally, GCF of Fractions for 818/28, 678/266 is 2/532.