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GCF of 366/86, 826/2483

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 366/86, 826/2483 i.e 2/213538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 366/86, 826/2483.

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 366/86,826/2483?

Given fractions are 366/86,826/2483

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 366/86,826/2483, numerators are 366,826

Denominators are 86,2483

The GCF of 366,826 is 2 .

LCM of 86,2483 is 213538.

The greatest common factor of 366/86,826/2483 = [GCF of 366,826]/[LCM of 86,2483]= 2/213538

Therefore, the GCF of 366/86,826/2483 is 2/213538.

Greatest Common Factor of 366,826

To find the highest common factor of 366,826, we have to find the factors of both numbers and list the highest common factor.

The factors of 366 are 1, 2, 3, 6, 61, 122, 183, 366

The factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826

The HCF of 366,826 is 2.

Lets's calculate GCF of 366,826

Greatest Common Factor (GCF) of 366,826 By Common Division

2 366, 826
183, 413

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

Greatest Common Factor of 366,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 366,826 By Matching Biggest Common Factor Method

Now, list down the factors of 366

:

1,2,3,6,61,122,183,366

Now, list down the factors of 826

:

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 366,826 . The biggest common factor number is the GCF number.
So the greatest common factor 366,826 is 2.

Lets's calculate LCM of 86,2483

Lowest Common Multiple of 86,2483 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 213538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/213538

Therefore, the GCF of Fractions 366/86,826/2483 is 2/213538

Least Common Multiple of 86,2483 with GCF Formula

Least Common Multiple of 86,2483 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 86,2483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,2483) = 1

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

GCF(86,2483) x common factors =1 x 1 = 1

LCM(86,2483) = ( 86 × 2483 ) / 1

LCM(86,2483) = 213538 / 1

LCM(86,2483) = 213538


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FAQs on GCF of Fractions of 366/86, 826/2483

1. What is the HCF of 366,826?

The HCF of 366,826 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 366/86, 826/2483?

Answer: GCF of Numerators as per given numbers 366/86, 826/2483 is

GCF of Numerators i.e. for 366,826 is 2

LCM of denominators i.e. for 86,2483 is 213538.

Thus, GCF of Fractions is 2/213538.Finally, GCF of Fractions for 366/86, 826/2483 is 2/213538.