How to Find GCF of 9763/824, 7886/2563?

GCF of 9763/824, 7886/2563

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 9763/824, 7886/2563 i.e 1/2111912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9763/824, 7886/2563.

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 9763/824,7886/2563?

Given fractions are 9763/824,7886/2563

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 9763/824,7886/2563, numerators are 9763,7886

Denominators are 824,2563

The GCF of 9763,7886 is 1 .

LCM of 824,2563 is 2111912.

The greatest common factor of 9763/824,7886/2563 = [GCF of 9763,7886]/[LCM of 824,2563]= 1/2111912

Therefore, the GCF of 9763/824,7886/2563 is 1/2111912.

Greatest Common Factor of 9763,7886

To find the highest common factor of 9763,7886, we have to find the factors of both numbers and list the highest common factor.

The factors of 9763 are 1, 13, 751, 9763

The factors of 7886 are 1, 2, 3943, 7886

The HCF of 9763,7886 is 1.

Lets's calculate GCF of 9763,7886

Greatest Common Factor (GCF) of 9763,7886 By Common Division

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

Greatest Common Factor of 9763,7886 By Matching Biggest Common Factor Method

Now, list down the factors of 9763

1,13,751,9763

Now, list down the factors of 7886

1,2,3943,7886

Greatest Common Factor

We found the factors 9763,7886 . The biggest common factor number is the GCF number.
So the greatest common factor 9763,7886 is 1.

Lets's calculate LCM of 824,2563

Lowest Common Multiple of 824,2563 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2111912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2111912

Therefore, the GCF of Fractions 9763/824,7886/2563 is 1/2111912

Least Common Multiple of 824,2563 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 824,2563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,2563) = 1

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

GCF(824,2563) x common factors =1 x 1 = 1

LCM(824,2563) = ( 824 × 2563 ) / 1

LCM(824,2563) = 2111912 / 1

LCM(824,2563) = 2111912

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FAQs on GCF of Fractions of 9763/824, 7886/2563

1. What is the HCF of 9763,7886?

The HCF of 9763,7886 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 9763/824, 7886/2563?

Answer: GCF of Numerators as per given numbers 9763/824, 7886/2563 is

GCF of Numerators i.e. for 9763,7886 is 1

LCM of denominators i.e. for 824,2563 is 2111912.

Thus, GCF of Fractions is 1/2111912.Finally, GCF of Fractions for 9763/824, 7886/2563 is 1/2111912.