How to Find GCF of 1739/334, 8706/8221?

GCF of 1739/334, 8706/8221

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 1739/334, 8706/8221 i.e 1/2745814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1739/334, 8706/8221.

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 1739/334,8706/8221?

Given fractions are 1739/334,8706/8221

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 1739/334,8706/8221, numerators are 1739,8706

Denominators are 334,8221

The GCF of 1739,8706 is 1 .

LCM of 334,8221 is 2745814.

The greatest common factor of 1739/334,8706/8221 = [GCF of 1739,8706]/[LCM of 334,8221]= 1/2745814

Therefore, the GCF of 1739/334,8706/8221 is 1/2745814.

Greatest Common Factor of 1739,8706

To find the highest common factor of 1739,8706, we have to find the factors of both numbers and list the highest common factor.

The factors of 1739 are 1, 37, 47, 1739

The factors of 8706 are 1, 2, 3, 6, 1451, 2902, 4353, 8706

The HCF of 1739,8706 is 1.

Lets's calculate GCF of 1739,8706

Greatest Common Factor (GCF) of 1739,8706 By Common Division

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

Greatest Common Factor of 1739,8706 By Matching Biggest Common Factor Method

Now, list down the factors of 1739

1,37,47,1739

Now, list down the factors of 8706

1,2,3,6,1451,2902,4353,8706

Greatest Common Factor

We found the factors 1739,8706 . The biggest common factor number is the GCF number.
So the greatest common factor 1739,8706 is 1.

Lets's calculate LCM of 334,8221

Lowest Common Multiple of 334,8221 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2745814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2745814

Therefore, the GCF of Fractions 1739/334,8706/8221 is 1/2745814

Least Common Multiple of 334,8221 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 334,8221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,8221) = 1

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

GCF(334,8221) x common factors =1 x 1 = 1

LCM(334,8221) = ( 334 × 8221 ) / 1

LCM(334,8221) = 2745814 / 1

LCM(334,8221) = 2745814

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FAQs on GCF of Fractions of 1739/334, 8706/8221

1. What is the HCF of 1739,8706?

The HCF of 1739,8706 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 1739/334, 8706/8221?

Answer: GCF of Numerators as per given numbers 1739/334, 8706/8221 is

GCF of Numerators i.e. for 1739,8706 is 1

LCM of denominators i.e. for 334,8221 is 2745814.

Thus, GCF of Fractions is 1/2745814.Finally, GCF of Fractions for 1739/334, 8706/8221 is 1/2745814.