How to Find GCF of 4603/159, 2004/1969?

GCF of 4603/159, 2004/1969

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 4603/159, 2004/1969 i.e 1/313071 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4603/159, 2004/1969.

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 4603/159,2004/1969?

Given fractions are 4603/159,2004/1969

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 4603/159,2004/1969, numerators are 4603,2004

Denominators are 159,1969

The GCF of 4603,2004 is 1 .

LCM of 159,1969 is 313071.

The greatest common factor of 4603/159,2004/1969 = [GCF of 4603,2004]/[LCM of 159,1969]= 1/313071

Therefore, the GCF of 4603/159,2004/1969 is 1/313071.

Greatest Common Factor of 4603,2004

To find the highest common factor of 4603,2004, we have to find the factors of both numbers and list the highest common factor.

The factors of 4603 are 1, 4603

The factors of 2004 are 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004

The HCF of 4603,2004 is 1.

Lets's calculate GCF of 4603,2004

Greatest Common Factor (GCF) of 4603,2004 By Common Division

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

Greatest Common Factor of 4603,2004 By Matching Biggest Common Factor Method

Now, list down the factors of 4603

1,4603

Now, list down the factors of 2004

1,2,3,4,6,12,167,334,501,668,1002,2004

Greatest Common Factor

We found the factors 4603,2004 . The biggest common factor number is the GCF number.
So the greatest common factor 4603,2004 is 1.

Lets's calculate LCM of 159,1969

Lowest Common Multiple of 159,1969 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 313071

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/313071

Therefore, the GCF of Fractions 4603/159,2004/1969 is 1/313071

Least Common Multiple of 159,1969 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 159,1969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,1969) = 1

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

GCF(159,1969) x common factors =1 x 1 = 1

LCM(159,1969) = ( 159 × 1969 ) / 1

LCM(159,1969) = 313071 / 1

LCM(159,1969) = 313071

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4603/159, 2004/1969

1. What is the HCF of 4603,2004?

The HCF of 4603,2004 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 4603/159, 2004/1969?

Answer: GCF of Numerators as per given numbers 4603/159, 2004/1969 is

GCF of Numerators i.e. for 4603,2004 is 1

LCM of denominators i.e. for 159,1969 is 313071.

Thus, GCF of Fractions is 1/313071.Finally, GCF of Fractions for 4603/159, 2004/1969 is 1/313071.