How to Find GCF of 9893/331, 1808/9085?

GCF of 9893/331, 1808/9085

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 9893/331, 1808/9085 i.e 1/3007135 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9893/331, 1808/9085.

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 9893/331,1808/9085?

Given fractions are 9893/331,1808/9085

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 9893/331,1808/9085, numerators are 9893,1808

Denominators are 331,9085

The GCF of 9893,1808 is 1 .

LCM of 331,9085 is 3007135.

The greatest common factor of 9893/331,1808/9085 = [GCF of 9893,1808]/[LCM of 331,9085]= 1/3007135

Therefore, the GCF of 9893/331,1808/9085 is 1/3007135.

Greatest Common Factor of 9893,1808

To find the highest common factor of 9893,1808, we have to find the factors of both numbers and list the highest common factor.

The factors of 9893 are 1, 13, 761, 9893

The factors of 1808 are 1, 2, 4, 8, 16, 113, 226, 452, 904, 1808

The HCF of 9893,1808 is 1.

Lets's calculate GCF of 9893,1808

Greatest Common Factor (GCF) of 9893,1808 By Common Division

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

Greatest Common Factor of 9893,1808 By Matching Biggest Common Factor Method

Now, list down the factors of 9893

1,13,761,9893

Now, list down the factors of 1808

1,2,4,8,16,113,226,452,904,1808

Greatest Common Factor

We found the factors 9893,1808 . The biggest common factor number is the GCF number.
So the greatest common factor 9893,1808 is 1.

Lets's calculate LCM of 331,9085

Lowest Common Multiple of 331,9085 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3007135

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3007135

Therefore, the GCF of Fractions 9893/331,1808/9085 is 1/3007135

Least Common Multiple of 331,9085 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 331,9085 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(331,9085) = 1

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

GCF(331,9085) x common factors =1 x 1 = 1

LCM(331,9085) = ( 331 × 9085 ) / 1

LCM(331,9085) = 3007135 / 1

LCM(331,9085) = 3007135

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FAQs on GCF of Fractions of 9893/331, 1808/9085

1. What is the HCF of 9893,1808?

The HCF of 9893,1808 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 9893/331, 1808/9085?

Answer: GCF of Numerators as per given numbers 9893/331, 1808/9085 is

GCF of Numerators i.e. for 9893,1808 is 1

LCM of denominators i.e. for 331,9085 is 3007135.

Thus, GCF of Fractions is 1/3007135.Finally, GCF of Fractions for 9893/331, 1808/9085 is 1/3007135.