How to Find GCF of 8281/773, 2151/7775?

GCF of 8281/773, 2151/7775

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 8281/773, 2151/7775 i.e 1/6010075 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8281/773, 2151/7775.

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 8281/773,2151/7775?

Given fractions are 8281/773,2151/7775

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 8281/773,2151/7775, numerators are 8281,2151

Denominators are 773,7775

The GCF of 8281,2151 is 1 .

LCM of 773,7775 is 6010075.

The greatest common factor of 8281/773,2151/7775 = [GCF of 8281,2151]/[LCM of 773,7775]= 1/6010075

Therefore, the GCF of 8281/773,2151/7775 is 1/6010075.

Greatest Common Factor of 8281,2151

To find the highest common factor of 8281,2151, we have to find the factors of both numbers and list the highest common factor.

The factors of 8281 are 1, 7, 13, 49, 91, 169, 637, 1183, 8281

The factors of 2151 are 1, 3, 9, 239, 717, 2151

The HCF of 8281,2151 is 1.

Lets's calculate GCF of 8281,2151

Greatest Common Factor (GCF) of 8281,2151 By Common Division

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

Greatest Common Factor of 8281,2151 By Matching Biggest Common Factor Method

Now, list down the factors of 8281

1,7,13,49,91,169,637,1183,8281

Now, list down the factors of 2151

1,3,9,239,717,2151

Greatest Common Factor

We found the factors 8281,2151 . The biggest common factor number is the GCF number.
So the greatest common factor 8281,2151 is 1.

Lets's calculate LCM of 773,7775

Lowest Common Multiple of 773,7775 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6010075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6010075

Therefore, the GCF of Fractions 8281/773,2151/7775 is 1/6010075

Least Common Multiple of 773,7775 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 773,7775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(773,7775) = 1

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

GCF(773,7775) x common factors =1 x 1 = 1

LCM(773,7775) = ( 773 × 7775 ) / 1

LCM(773,7775) = 6010075 / 1

LCM(773,7775) = 6010075

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8281/773, 2151/7775

1. What is the HCF of 8281,2151?

The HCF of 8281,2151 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 8281/773, 2151/7775?

Answer: GCF of Numerators as per given numbers 8281/773, 2151/7775 is

GCF of Numerators i.e. for 8281,2151 is 1

LCM of denominators i.e. for 773,7775 is 6010075.

Thus, GCF of Fractions is 1/6010075.Finally, GCF of Fractions for 8281/773, 2151/7775 is 1/6010075.