How to Find GCF of 3023/334, 3587/1727?

GCF of 3023/334, 3587/1727

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 3023/334, 3587/1727 i.e 1/576818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3023/334, 3587/1727.

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 3023/334,3587/1727?

Given fractions are 3023/334,3587/1727

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 3023/334,3587/1727, numerators are 3023,3587

Denominators are 334,1727

The GCF of 3023,3587 is 1 .

LCM of 334,1727 is 576818.

The greatest common factor of 3023/334,3587/1727 = [GCF of 3023,3587]/[LCM of 334,1727]= 1/576818

Therefore, the GCF of 3023/334,3587/1727 is 1/576818.

Greatest Common Factor of 3023,3587

To find the highest common factor of 3023,3587, we have to find the factors of both numbers and list the highest common factor.

The factors of 3023 are 1, 3023

The factors of 3587 are 1, 17, 211, 3587

The HCF of 3023,3587 is 1.

Lets's calculate GCF of 3023,3587

Greatest Common Factor (GCF) of 3023,3587 By Common Division

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

Greatest Common Factor of 3023,3587 By Matching Biggest Common Factor Method

Now, list down the factors of 3023

1,3023

Now, list down the factors of 3587

1,17,211,3587

Greatest Common Factor

We found the factors 3023,3587 . The biggest common factor number is the GCF number.
So the greatest common factor 3023,3587 is 1.

Lets's calculate LCM of 334,1727

Lowest Common Multiple of 334,1727 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 576818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/576818

Therefore, the GCF of Fractions 3023/334,3587/1727 is 1/576818

Least Common Multiple of 334,1727 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 334,1727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,1727) = 1

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

GCF(334,1727) x common factors =1 x 1 = 1

LCM(334,1727) = ( 334 × 1727 ) / 1

LCM(334,1727) = 576818 / 1

LCM(334,1727) = 576818

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FAQs on GCF of Fractions of 3023/334, 3587/1727

1. What is the HCF of 3023,3587?

The HCF of 3023,3587 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 3023/334, 3587/1727?

Answer: GCF of Numerators as per given numbers 3023/334, 3587/1727 is

GCF of Numerators i.e. for 3023,3587 is 1

LCM of denominators i.e. for 334,1727 is 576818.

Thus, GCF of Fractions is 1/576818.Finally, GCF of Fractions for 3023/334, 3587/1727 is 1/576818.