How to Find GCF of 6969/773, 8291/9444?

GCF of 6969/773, 8291/9444

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 6969/773, 8291/9444 i.e 1/7300212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6969/773, 8291/9444.

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 6969/773,8291/9444?

Given fractions are 6969/773,8291/9444

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 6969/773,8291/9444, numerators are 6969,8291

Denominators are 773,9444

The GCF of 6969,8291 is 1 .

LCM of 773,9444 is 7300212.

The greatest common factor of 6969/773,8291/9444 = [GCF of 6969,8291]/[LCM of 773,9444]= 1/7300212

Therefore, the GCF of 6969/773,8291/9444 is 1/7300212.

Greatest Common Factor of 6969,8291

To find the highest common factor of 6969,8291, we have to find the factors of both numbers and list the highest common factor.

The factors of 6969 are 1, 3, 23, 69, 101, 303, 2323, 6969

The factors of 8291 are 1, 8291

The HCF of 6969,8291 is 1.

Lets's calculate GCF of 6969,8291

Greatest Common Factor (GCF) of 6969,8291 By Common Division

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

Greatest Common Factor of 6969,8291 By Matching Biggest Common Factor Method

Now, list down the factors of 6969

1,3,23,69,101,303,2323,6969

Now, list down the factors of 8291

1,8291

Greatest Common Factor

We found the factors 6969,8291 . The biggest common factor number is the GCF number.
So the greatest common factor 6969,8291 is 1.

Lets's calculate LCM of 773,9444

Lowest Common Multiple of 773,9444 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7300212

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7300212

Therefore, the GCF of Fractions 6969/773,8291/9444 is 1/7300212

Least Common Multiple of 773,9444 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 773,9444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(773,9444) = 1

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

GCF(773,9444) x common factors =1 x 1 = 1

LCM(773,9444) = ( 773 × 9444 ) / 1

LCM(773,9444) = 7300212 / 1

LCM(773,9444) = 7300212

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FAQs on GCF of Fractions of 6969/773, 8291/9444

1. What is the HCF of 6969,8291?

The HCF of 6969,8291 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 6969/773, 8291/9444?

Answer: GCF of Numerators as per given numbers 6969/773, 8291/9444 is

GCF of Numerators i.e. for 6969,8291 is 1

LCM of denominators i.e. for 773,9444 is 7300212.

Thus, GCF of Fractions is 1/7300212.Finally, GCF of Fractions for 6969/773, 8291/9444 is 1/7300212.