How to Find GCF of 8381/426, 5827/6666?

GCF of 8381/426, 5827/6666

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 8381/426, 5827/6666 i.e 1/473286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8381/426, 5827/6666.

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 8381/426,5827/6666?

Given fractions are 8381/426,5827/6666

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 8381/426,5827/6666, numerators are 8381,5827

Denominators are 426,6666

The GCF of 8381,5827 is 1 .

LCM of 426,6666 is 473286.

The greatest common factor of 8381/426,5827/6666 = [GCF of 8381,5827]/[LCM of 426,6666]= 1/473286

Therefore, the GCF of 8381/426,5827/6666 is 1/473286.

Greatest Common Factor of 8381,5827

To find the highest common factor of 8381,5827, we have to find the factors of both numbers and list the highest common factor.

The factors of 8381 are 1, 17, 29, 289, 493, 8381

The factors of 5827 are 1, 5827

The HCF of 8381,5827 is 1.

Lets's calculate GCF of 8381,5827

Greatest Common Factor (GCF) of 8381,5827 By Common Division

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

Greatest Common Factor of 8381,5827 By Matching Biggest Common Factor Method

Now, list down the factors of 8381

1,17,29,289,493,8381

Now, list down the factors of 5827

1,5827

Greatest Common Factor

We found the factors 8381,5827 . The biggest common factor number is the GCF number.
So the greatest common factor 8381,5827 is 1.

Lets's calculate LCM of 426,6666

Lowest Common Multiple of 426,6666 using Common Division

2	426, 6666
3	213, 3333
	71, 1111

∴ So the LCM of the given numbers is 2 x 3 x 71 x 1111 = 473286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/473286

Therefore, the GCF of Fractions 8381/426,5827/6666 is 1/473286

Least Common Multiple of 426,6666 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 426,6666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,6666) = 6

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

GCF(426,6666) x common factors =6 x 1 = 6

LCM(426,6666) = ( 426 × 6666 ) / 6

LCM(426,6666) = 2839716 / 6

LCM(426,6666) = 473286

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FAQs on GCF of Fractions of 8381/426, 5827/6666

1. What is the HCF of 8381,5827?

The HCF of 8381,5827 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 8381/426, 5827/6666?

Answer: GCF of Numerators as per given numbers 8381/426, 5827/6666 is

GCF of Numerators i.e. for 8381,5827 is 1

LCM of denominators i.e. for 426,6666 is 473286.

Thus, GCF of Fractions is 1/473286.Finally, GCF of Fractions for 8381/426, 5827/6666 is 1/473286.