How to Find GCF of 7297/712, 6706/3231?

GCF of 7297/712, 6706/3231

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 7297/712, 6706/3231 i.e 1/2300472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7297/712, 6706/3231.

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 7297/712,6706/3231?

Given fractions are 7297/712,6706/3231

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 7297/712,6706/3231, numerators are 7297,6706

Denominators are 712,3231

The GCF of 7297,6706 is 1 .

LCM of 712,3231 is 2300472.

The greatest common factor of 7297/712,6706/3231 = [GCF of 7297,6706]/[LCM of 712,3231]= 1/2300472

Therefore, the GCF of 7297/712,6706/3231 is 1/2300472.

Greatest Common Factor of 7297,6706

To find the highest common factor of 7297,6706, we have to find the factors of both numbers and list the highest common factor.

The factors of 7297 are 1, 7297

The factors of 6706 are 1, 2, 7, 14, 479, 958, 3353, 6706

The HCF of 7297,6706 is 1.

Lets's calculate GCF of 7297,6706

Greatest Common Factor (GCF) of 7297,6706 By Common Division

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

Greatest Common Factor of 7297,6706 By Matching Biggest Common Factor Method

Now, list down the factors of 7297

1,7297

Now, list down the factors of 6706

1,2,7,14,479,958,3353,6706

Greatest Common Factor

We found the factors 7297,6706 . The biggest common factor number is the GCF number.
So the greatest common factor 7297,6706 is 1.

Lets's calculate LCM of 712,3231

Lowest Common Multiple of 712,3231 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2300472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2300472

Therefore, the GCF of Fractions 7297/712,6706/3231 is 1/2300472

Least Common Multiple of 712,3231 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 712,3231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,3231) = 1

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

GCF(712,3231) x common factors =1 x 1 = 1

LCM(712,3231) = ( 712 × 3231 ) / 1

LCM(712,3231) = 2300472 / 1

LCM(712,3231) = 2300472

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FAQs on GCF of Fractions of 7297/712, 6706/3231

1. What is the HCF of 7297,6706?

The HCF of 7297,6706 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 7297/712, 6706/3231?

Answer: GCF of Numerators as per given numbers 7297/712, 6706/3231 is

GCF of Numerators i.e. for 7297,6706 is 1

LCM of denominators i.e. for 712,3231 is 2300472.

Thus, GCF of Fractions is 1/2300472.Finally, GCF of Fractions for 7297/712, 6706/3231 is 1/2300472.