How to Find GCF of 9693/822, 1819/9125?

GCF of 9693/822, 1819/9125

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 9693/822, 1819/9125 i.e 1/7500750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9693/822, 1819/9125.

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 9693/822,1819/9125?

Given fractions are 9693/822,1819/9125

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 9693/822,1819/9125, numerators are 9693,1819

Denominators are 822,9125

The GCF of 9693,1819 is 1 .

LCM of 822,9125 is 7500750.

The greatest common factor of 9693/822,1819/9125 = [GCF of 9693,1819]/[LCM of 822,9125]= 1/7500750

Therefore, the GCF of 9693/822,1819/9125 is 1/7500750.

Greatest Common Factor of 9693,1819

To find the highest common factor of 9693,1819, we have to find the factors of both numbers and list the highest common factor.

The factors of 9693 are 1, 3, 9, 27, 359, 1077, 3231, 9693

The factors of 1819 are 1, 17, 107, 1819

The HCF of 9693,1819 is 1.

Lets's calculate GCF of 9693,1819

Greatest Common Factor (GCF) of 9693,1819 By Common Division

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

Greatest Common Factor of 9693,1819 By Matching Biggest Common Factor Method

Now, list down the factors of 9693

1,3,9,27,359,1077,3231,9693

Now, list down the factors of 1819

1,17,107,1819

Greatest Common Factor

We found the factors 9693,1819 . The biggest common factor number is the GCF number.
So the greatest common factor 9693,1819 is 1.

Lets's calculate LCM of 822,9125

Lowest Common Multiple of 822,9125 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7500750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7500750

Therefore, the GCF of Fractions 9693/822,1819/9125 is 1/7500750

Least Common Multiple of 822,9125 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 822,9125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,9125) = 1

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

GCF(822,9125) x common factors =1 x 1 = 1

LCM(822,9125) = ( 822 × 9125 ) / 1

LCM(822,9125) = 7500750 / 1

LCM(822,9125) = 7500750

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9693/822, 1819/9125

1. What is the HCF of 9693,1819?

The HCF of 9693,1819 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 9693/822, 1819/9125?

Answer: GCF of Numerators as per given numbers 9693/822, 1819/9125 is

GCF of Numerators i.e. for 9693,1819 is 1

LCM of denominators i.e. for 822,9125 is 7500750.

Thus, GCF of Fractions is 1/7500750.Finally, GCF of Fractions for 9693/822, 1819/9125 is 1/7500750.