How to Find GCF of 8038/993, 2179/9766?

GCF of 8038/993, 2179/9766

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 8038/993, 2179/9766 i.e 1/9697638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8038/993, 2179/9766.

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 8038/993,2179/9766?

Given fractions are 8038/993,2179/9766

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 8038/993,2179/9766, numerators are 8038,2179

Denominators are 993,9766

The GCF of 8038,2179 is 1 .

LCM of 993,9766 is 9697638.

The greatest common factor of 8038/993,2179/9766 = [GCF of 8038,2179]/[LCM of 993,9766]= 1/9697638

Therefore, the GCF of 8038/993,2179/9766 is 1/9697638.

Greatest Common Factor of 8038,2179

To find the highest common factor of 8038,2179, we have to find the factors of both numbers and list the highest common factor.

The factors of 8038 are 1, 2, 4019, 8038

The factors of 2179 are 1, 2179

The HCF of 8038,2179 is 1.

Lets's calculate GCF of 8038,2179

Greatest Common Factor (GCF) of 8038,2179 By Common Division

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

Greatest Common Factor of 8038,2179 By Matching Biggest Common Factor Method

Now, list down the factors of 8038

1,2,4019,8038

Now, list down the factors of 2179

1,2179

Greatest Common Factor

We found the factors 8038,2179 . The biggest common factor number is the GCF number.
So the greatest common factor 8038,2179 is 1.

Lets's calculate LCM of 993,9766

Lowest Common Multiple of 993,9766 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9697638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9697638

Therefore, the GCF of Fractions 8038/993,2179/9766 is 1/9697638

Least Common Multiple of 993,9766 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 993,9766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,9766) = 1

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

GCF(993,9766) x common factors =1 x 1 = 1

LCM(993,9766) = ( 993 × 9766 ) / 1

LCM(993,9766) = 9697638 / 1

LCM(993,9766) = 9697638

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FAQs on GCF of Fractions of 8038/993, 2179/9766

1. What is the HCF of 8038,2179?

The HCF of 8038,2179 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 8038/993, 2179/9766?

Answer: GCF of Numerators as per given numbers 8038/993, 2179/9766 is

GCF of Numerators i.e. for 8038,2179 is 1

LCM of denominators i.e. for 993,9766 is 9697638.

Thus, GCF of Fractions is 1/9697638.Finally, GCF of Fractions for 8038/993, 2179/9766 is 1/9697638.