How to Find GCF of 4465/329, 9703/2738?

GCF of 4465/329, 9703/2738

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 4465/329, 9703/2738 i.e 1/900802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4465/329, 9703/2738.

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 4465/329,9703/2738?

Given fractions are 4465/329,9703/2738

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 4465/329,9703/2738, numerators are 4465,9703

Denominators are 329,2738

The GCF of 4465,9703 is 1 .

LCM of 329,2738 is 900802.

The greatest common factor of 4465/329,9703/2738 = [GCF of 4465,9703]/[LCM of 329,2738]= 1/900802

Therefore, the GCF of 4465/329,9703/2738 is 1/900802.

Greatest Common Factor of 4465,9703

To find the highest common factor of 4465,9703, we have to find the factors of both numbers and list the highest common factor.

The factors of 4465 are 1, 5, 19, 47, 95, 235, 893, 4465

The factors of 9703 are 1, 31, 313, 9703

The HCF of 4465,9703 is 1.

Lets's calculate GCF of 4465,9703

Greatest Common Factor (GCF) of 4465,9703 By Common Division

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

Greatest Common Factor of 4465,9703 By Matching Biggest Common Factor Method

Now, list down the factors of 4465

1,5,19,47,95,235,893,4465

Now, list down the factors of 9703

1,31,313,9703

Greatest Common Factor

We found the factors 4465,9703 . The biggest common factor number is the GCF number.
So the greatest common factor 4465,9703 is 1.

Lets's calculate LCM of 329,2738

Lowest Common Multiple of 329,2738 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 900802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/900802

Therefore, the GCF of Fractions 4465/329,9703/2738 is 1/900802

Least Common Multiple of 329,2738 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 329,2738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,2738) = 1

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

GCF(329,2738) x common factors =1 x 1 = 1

LCM(329,2738) = ( 329 × 2738 ) / 1

LCM(329,2738) = 900802 / 1

LCM(329,2738) = 900802

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FAQs on GCF of Fractions of 4465/329, 9703/2738

1. What is the HCF of 4465,9703?

The HCF of 4465,9703 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 4465/329, 9703/2738?

Answer: GCF of Numerators as per given numbers 4465/329, 9703/2738 is

GCF of Numerators i.e. for 4465,9703 is 1

LCM of denominators i.e. for 329,2738 is 900802.

Thus, GCF of Fractions is 1/900802.Finally, GCF of Fractions for 4465/329, 9703/2738 is 1/900802.