How to Find GCF of 8998/689, 7413/2003?

GCF of 8998/689, 7413/2003

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 8998/689, 7413/2003 i.e 1/1380067 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8998/689, 7413/2003.

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 8998/689,7413/2003?

Given fractions are 8998/689,7413/2003

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 8998/689,7413/2003, numerators are 8998,7413

Denominators are 689,2003

The GCF of 8998,7413 is 1 .

LCM of 689,2003 is 1380067.

The greatest common factor of 8998/689,7413/2003 = [GCF of 8998,7413]/[LCM of 689,2003]= 1/1380067

Therefore, the GCF of 8998/689,7413/2003 is 1/1380067.

Greatest Common Factor of 8998,7413

To find the highest common factor of 8998,7413, we have to find the factors of both numbers and list the highest common factor.

The factors of 8998 are 1, 2, 11, 22, 409, 818, 4499, 8998

The factors of 7413 are 1, 3, 7, 21, 353, 1059, 2471, 7413

The HCF of 8998,7413 is 1.

Lets's calculate GCF of 8998,7413

Greatest Common Factor (GCF) of 8998,7413 By Common Division

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

Greatest Common Factor of 8998,7413 By Matching Biggest Common Factor Method

Now, list down the factors of 8998

1,2,11,22,409,818,4499,8998

Now, list down the factors of 7413

1,3,7,21,353,1059,2471,7413

Greatest Common Factor

We found the factors 8998,7413 . The biggest common factor number is the GCF number.
So the greatest common factor 8998,7413 is 1.

Lets's calculate LCM of 689,2003

Lowest Common Multiple of 689,2003 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1380067

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1380067

Therefore, the GCF of Fractions 8998/689,7413/2003 is 1/1380067

Least Common Multiple of 689,2003 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 689,2003 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,2003) = 1

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

GCF(689,2003) x common factors =1 x 1 = 1

LCM(689,2003) = ( 689 × 2003 ) / 1

LCM(689,2003) = 1380067 / 1

LCM(689,2003) = 1380067

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FAQs on GCF of Fractions of 8998/689, 7413/2003

1. What is the HCF of 8998,7413?

The HCF of 8998,7413 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 8998/689, 7413/2003?

Answer: GCF of Numerators as per given numbers 8998/689, 7413/2003 is

GCF of Numerators i.e. for 8998,7413 is 1

LCM of denominators i.e. for 689,2003 is 1380067.

Thus, GCF of Fractions is 1/1380067.Finally, GCF of Fractions for 8998/689, 7413/2003 is 1/1380067.