How to Find GCF of 9677/263, 7731/2827?

GCF of 9677/263, 7731/2827

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 9677/263, 7731/2827 i.e 1/743501 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9677/263, 7731/2827.

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 9677/263,7731/2827?

Given fractions are 9677/263,7731/2827

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 9677/263,7731/2827, numerators are 9677,7731

Denominators are 263,2827

The GCF of 9677,7731 is 1 .

LCM of 263,2827 is 743501.

The greatest common factor of 9677/263,7731/2827 = [GCF of 9677,7731]/[LCM of 263,2827]= 1/743501

Therefore, the GCF of 9677/263,7731/2827 is 1/743501.

Greatest Common Factor of 9677,7731

To find the highest common factor of 9677,7731, we have to find the factors of both numbers and list the highest common factor.

The factors of 9677 are 1, 9677

The factors of 7731 are 1, 3, 9, 859, 2577, 7731

The HCF of 9677,7731 is 1.

Lets's calculate GCF of 9677,7731

Greatest Common Factor (GCF) of 9677,7731 By Common Division

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

Greatest Common Factor of 9677,7731 By Matching Biggest Common Factor Method

Now, list down the factors of 9677

1,9677

Now, list down the factors of 7731

1,3,9,859,2577,7731

Greatest Common Factor

We found the factors 9677,7731 . The biggest common factor number is the GCF number.
So the greatest common factor 9677,7731 is 1.

Lets's calculate LCM of 263,2827

Lowest Common Multiple of 263,2827 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 743501

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/743501

Therefore, the GCF of Fractions 9677/263,7731/2827 is 1/743501

Least Common Multiple of 263,2827 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 263,2827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,2827) = 1

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

GCF(263,2827) x common factors =1 x 1 = 1

LCM(263,2827) = ( 263 × 2827 ) / 1

LCM(263,2827) = 743501 / 1

LCM(263,2827) = 743501

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FAQs on GCF of Fractions of 9677/263, 7731/2827

1. What is the HCF of 9677,7731?

The HCF of 9677,7731 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 9677/263, 7731/2827?

Answer: GCF of Numerators as per given numbers 9677/263, 7731/2827 is

GCF of Numerators i.e. for 9677,7731 is 1

LCM of denominators i.e. for 263,2827 is 743501.

Thus, GCF of Fractions is 1/743501.Finally, GCF of Fractions for 9677/263, 7731/2827 is 1/743501.