How to Find GCF of 8347/548, 1806/884?

GCF of 8347/548, 1806/884

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 8347/548, 1806/884 i.e 1/121108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8347/548, 1806/884.

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 8347/548,1806/884?

Given fractions are 8347/548,1806/884

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 8347/548,1806/884, numerators are 8347,1806

Denominators are 548,884

The GCF of 8347,1806 is 1 .

LCM of 548,884 is 121108.

The greatest common factor of 8347/548,1806/884 = [GCF of 8347,1806]/[LCM of 548,884]= 1/121108

Therefore, the GCF of 8347/548,1806/884 is 1/121108.

Greatest Common Factor of 8347,1806

To find the highest common factor of 8347,1806, we have to find the factors of both numbers and list the highest common factor.

The factors of 8347 are 1, 17, 491, 8347

The factors of 1806 are 1, 2, 3, 6, 7, 14, 21, 42, 43, 86, 129, 258, 301, 602, 903, 1806

The HCF of 8347,1806 is 1.

Lets's calculate GCF of 8347,1806

Greatest Common Factor (GCF) of 8347,1806 By Common Division

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

Greatest Common Factor of 8347,1806 By Matching Biggest Common Factor Method

Now, list down the factors of 8347

1,17,491,8347

Now, list down the factors of 1806

1,2,3,6,7,14,21,42,43,86,129,258,301,602,903,1806

Greatest Common Factor

We found the factors 8347,1806 . The biggest common factor number is the GCF number.
So the greatest common factor 8347,1806 is 1.

Lets's calculate LCM of 548,884

Lowest Common Multiple of 548,884 using Common Division

2	548, 884
2	274, 442
	137, 221

∴ So the LCM of the given numbers is 2 x 2 x 137 x 221 = 121108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121108

Therefore, the GCF of Fractions 8347/548,1806/884 is 1/121108

Least Common Multiple of 548,884 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 548,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,884) = 4

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

GCF(548,884) x common factors =4 x 1 = 4

LCM(548,884) = ( 548 × 884 ) / 4

LCM(548,884) = 484432 / 4

LCM(548,884) = 121108

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FAQs on GCF of Fractions of 8347/548, 1806/884

1. What is the HCF of 8347,1806?

The HCF of 8347,1806 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 8347/548, 1806/884?

Answer: GCF of Numerators as per given numbers 8347/548, 1806/884 is

GCF of Numerators i.e. for 8347,1806 is 1

LCM of denominators i.e. for 548,884 is 121108.

Thus, GCF of Fractions is 1/121108.Finally, GCF of Fractions for 8347/548, 1806/884 is 1/121108.