How to Find GCF of 9463/984, 6221/9827?

GCF of 9463/984, 6221/9827

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 9463/984, 6221/9827 i.e 1/9669768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9463/984, 6221/9827.

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 9463/984,6221/9827?

Given fractions are 9463/984,6221/9827

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 9463/984,6221/9827, numerators are 9463,6221

Denominators are 984,9827

The GCF of 9463,6221 is 1 .

LCM of 984,9827 is 9669768.

The greatest common factor of 9463/984,6221/9827 = [GCF of 9463,6221]/[LCM of 984,9827]= 1/9669768

Therefore, the GCF of 9463/984,6221/9827 is 1/9669768.

Greatest Common Factor of 9463,6221

To find the highest common factor of 9463,6221, we have to find the factors of both numbers and list the highest common factor.

The factors of 9463 are 1, 9463

The factors of 6221 are 1, 6221

The HCF of 9463,6221 is 1.

Lets's calculate GCF of 9463,6221

Greatest Common Factor (GCF) of 9463,6221 By Common Division

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

Greatest Common Factor of 9463,6221 By Matching Biggest Common Factor Method

Now, list down the factors of 9463

1,9463

Now, list down the factors of 6221

1,6221

Greatest Common Factor

We found the factors 9463,6221 . The biggest common factor number is the GCF number.
So the greatest common factor 9463,6221 is 1.

Lets's calculate LCM of 984,9827

Lowest Common Multiple of 984,9827 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9669768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9669768

Therefore, the GCF of Fractions 9463/984,6221/9827 is 1/9669768

Least Common Multiple of 984,9827 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 984,9827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,9827) = 1

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

GCF(984,9827) x common factors =1 x 1 = 1

LCM(984,9827) = ( 984 × 9827 ) / 1

LCM(984,9827) = 9669768 / 1

LCM(984,9827) = 9669768

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FAQs on GCF of Fractions of 9463/984, 6221/9827

1. What is the HCF of 9463,6221?

The HCF of 9463,6221 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 9463/984, 6221/9827?

Answer: GCF of Numerators as per given numbers 9463/984, 6221/9827 is

GCF of Numerators i.e. for 9463,6221 is 1

LCM of denominators i.e. for 984,9827 is 9669768.

Thus, GCF of Fractions is 1/9669768.Finally, GCF of Fractions for 9463/984, 6221/9827 is 1/9669768.