How to Find GCF of 4003/320, 1718/7649?

GCF of 4003/320, 1718/7649

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 4003/320, 1718/7649 i.e 1/2447680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4003/320, 1718/7649.

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 4003/320,1718/7649?

Given fractions are 4003/320,1718/7649

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 4003/320,1718/7649, numerators are 4003,1718

Denominators are 320,7649

The GCF of 4003,1718 is 1 .

LCM of 320,7649 is 2447680.

The greatest common factor of 4003/320,1718/7649 = [GCF of 4003,1718]/[LCM of 320,7649]= 1/2447680

Therefore, the GCF of 4003/320,1718/7649 is 1/2447680.

Greatest Common Factor of 4003,1718

To find the highest common factor of 4003,1718, we have to find the factors of both numbers and list the highest common factor.

The factors of 4003 are 1, 4003

The factors of 1718 are 1, 2, 859, 1718

The HCF of 4003,1718 is 1.

Lets's calculate GCF of 4003,1718

Greatest Common Factor (GCF) of 4003,1718 By Common Division

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

Greatest Common Factor of 4003,1718 By Matching Biggest Common Factor Method

Now, list down the factors of 4003

1,4003

Now, list down the factors of 1718

1,2,859,1718

Greatest Common Factor

We found the factors 4003,1718 . The biggest common factor number is the GCF number.
So the greatest common factor 4003,1718 is 1.

Lets's calculate LCM of 320,7649

Lowest Common Multiple of 320,7649 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2447680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2447680

Therefore, the GCF of Fractions 4003/320,1718/7649 is 1/2447680

Least Common Multiple of 320,7649 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 320,7649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,7649) = 1

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

GCF(320,7649) x common factors =1 x 1 = 1

LCM(320,7649) = ( 320 × 7649 ) / 1

LCM(320,7649) = 2447680 / 1

LCM(320,7649) = 2447680

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FAQs on GCF of Fractions of 4003/320, 1718/7649

1. What is the HCF of 4003,1718?

The HCF of 4003,1718 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 4003/320, 1718/7649?

Answer: GCF of Numerators as per given numbers 4003/320, 1718/7649 is

GCF of Numerators i.e. for 4003,1718 is 1

LCM of denominators i.e. for 320,7649 is 2447680.

Thus, GCF of Fractions is 1/2447680.Finally, GCF of Fractions for 4003/320, 1718/7649 is 1/2447680.