How to Find GCF of 5761/766, 7263/8067?

GCF of 5761/766, 7263/8067

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 5761/766, 7263/8067 i.e 1/6179322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5761/766, 7263/8067.

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 5761/766,7263/8067?

Given fractions are 5761/766,7263/8067

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 5761/766,7263/8067, numerators are 5761,7263

Denominators are 766,8067

The GCF of 5761,7263 is 1 .

LCM of 766,8067 is 6179322.

The greatest common factor of 5761/766,7263/8067 = [GCF of 5761,7263]/[LCM of 766,8067]= 1/6179322

Therefore, the GCF of 5761/766,7263/8067 is 1/6179322.

Greatest Common Factor of 5761,7263

To find the highest common factor of 5761,7263, we have to find the factors of both numbers and list the highest common factor.

The factors of 5761 are 1, 7, 823, 5761

The factors of 7263 are 1, 3, 9, 27, 269, 807, 2421, 7263

The HCF of 5761,7263 is 1.

Lets's calculate GCF of 5761,7263

Greatest Common Factor (GCF) of 5761,7263 By Common Division

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

Greatest Common Factor of 5761,7263 By Matching Biggest Common Factor Method

Now, list down the factors of 5761

1,7,823,5761

Now, list down the factors of 7263

1,3,9,27,269,807,2421,7263

Greatest Common Factor

We found the factors 5761,7263 . The biggest common factor number is the GCF number.
So the greatest common factor 5761,7263 is 1.

Lets's calculate LCM of 766,8067

Lowest Common Multiple of 766,8067 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6179322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6179322

Therefore, the GCF of Fractions 5761/766,7263/8067 is 1/6179322

Least Common Multiple of 766,8067 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 766,8067 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,8067) = 1

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

GCF(766,8067) x common factors =1 x 1 = 1

LCM(766,8067) = ( 766 × 8067 ) / 1

LCM(766,8067) = 6179322 / 1

LCM(766,8067) = 6179322

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5761/766, 7263/8067

1. What is the HCF of 5761,7263?

The HCF of 5761,7263 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 5761/766, 7263/8067?

Answer: GCF of Numerators as per given numbers 5761/766, 7263/8067 is

GCF of Numerators i.e. for 5761,7263 is 1

LCM of denominators i.e. for 766,8067 is 6179322.

Thus, GCF of Fractions is 1/6179322.Finally, GCF of Fractions for 5761/766, 7263/8067 is 1/6179322.