How to Find GCF of 9921/584, 2269/2781?

GCF of 9921/584, 2269/2781

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 9921/584, 2269/2781 i.e 1/1624104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9921/584, 2269/2781.

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 9921/584,2269/2781?

Given fractions are 9921/584,2269/2781

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 9921/584,2269/2781, numerators are 9921,2269

Denominators are 584,2781

The GCF of 9921,2269 is 1 .

LCM of 584,2781 is 1624104.

The greatest common factor of 9921/584,2269/2781 = [GCF of 9921,2269]/[LCM of 584,2781]= 1/1624104

Therefore, the GCF of 9921/584,2269/2781 is 1/1624104.

Greatest Common Factor of 9921,2269

To find the highest common factor of 9921,2269, we have to find the factors of both numbers and list the highest common factor.

The factors of 9921 are 1, 3, 3307, 9921

The factors of 2269 are 1, 2269

The HCF of 9921,2269 is 1.

Lets's calculate GCF of 9921,2269

Greatest Common Factor (GCF) of 9921,2269 By Common Division

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

Greatest Common Factor of 9921,2269 By Matching Biggest Common Factor Method

Now, list down the factors of 9921

1,3,3307,9921

Now, list down the factors of 2269

1,2269

Greatest Common Factor

We found the factors 9921,2269 . The biggest common factor number is the GCF number.
So the greatest common factor 9921,2269 is 1.

Lets's calculate LCM of 584,2781

Lowest Common Multiple of 584,2781 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1624104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1624104

Therefore, the GCF of Fractions 9921/584,2269/2781 is 1/1624104

Least Common Multiple of 584,2781 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 584,2781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,2781) = 1

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

GCF(584,2781) x common factors =1 x 1 = 1

LCM(584,2781) = ( 584 × 2781 ) / 1

LCM(584,2781) = 1624104 / 1

LCM(584,2781) = 1624104

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FAQs on GCF of Fractions of 9921/584, 2269/2781

1. What is the HCF of 9921,2269?

The HCF of 9921,2269 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 9921/584, 2269/2781?

Answer: GCF of Numerators as per given numbers 9921/584, 2269/2781 is

GCF of Numerators i.e. for 9921,2269 is 1

LCM of denominators i.e. for 584,2781 is 1624104.

Thus, GCF of Fractions is 1/1624104.Finally, GCF of Fractions for 9921/584, 2269/2781 is 1/1624104.