How to Find GCF of 3473/241, 2665/1333?

GCF of 3473/241, 2665/1333

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 3473/241, 2665/1333 i.e 1/321253 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3473/241, 2665/1333.

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 3473/241,2665/1333?

Given fractions are 3473/241,2665/1333

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 3473/241,2665/1333, numerators are 3473,2665

Denominators are 241,1333

The GCF of 3473,2665 is 1 .

LCM of 241,1333 is 321253.

The greatest common factor of 3473/241,2665/1333 = [GCF of 3473,2665]/[LCM of 241,1333]= 1/321253

Therefore, the GCF of 3473/241,2665/1333 is 1/321253.

Greatest Common Factor of 3473,2665

To find the highest common factor of 3473,2665, we have to find the factors of both numbers and list the highest common factor.

The factors of 3473 are 1, 23, 151, 3473

The factors of 2665 are 1, 5, 13, 41, 65, 205, 533, 2665

The HCF of 3473,2665 is 1.

Lets's calculate GCF of 3473,2665

Greatest Common Factor (GCF) of 3473,2665 By Common Division

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

Greatest Common Factor of 3473,2665 By Matching Biggest Common Factor Method

Now, list down the factors of 3473

1,23,151,3473

Now, list down the factors of 2665

1,5,13,41,65,205,533,2665

Greatest Common Factor

We found the factors 3473,2665 . The biggest common factor number is the GCF number.
So the greatest common factor 3473,2665 is 1.

Lets's calculate LCM of 241,1333

Lowest Common Multiple of 241,1333 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 321253

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/321253

Therefore, the GCF of Fractions 3473/241,2665/1333 is 1/321253

Least Common Multiple of 241,1333 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 241,1333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,1333) = 1

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

GCF(241,1333) x common factors =1 x 1 = 1

LCM(241,1333) = ( 241 × 1333 ) / 1

LCM(241,1333) = 321253 / 1

LCM(241,1333) = 321253

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FAQs on GCF of Fractions of 3473/241, 2665/1333

1. What is the HCF of 3473,2665?

The HCF of 3473,2665 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 3473/241, 2665/1333?

Answer: GCF of Numerators as per given numbers 3473/241, 2665/1333 is

GCF of Numerators i.e. for 3473,2665 is 1

LCM of denominators i.e. for 241,1333 is 321253.

Thus, GCF of Fractions is 1/321253.Finally, GCF of Fractions for 3473/241, 2665/1333 is 1/321253.