How to Find GCF of 690/81, 734/8449?

GCF of 690/81, 734/8449

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 690/81, 734/8449 i.e 2/684369 easily. The following is the detailed procedure to determine the greatest common factor of fractions 690/81, 734/8449.

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 690/81,734/8449?

Given fractions are 690/81,734/8449

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 690/81,734/8449, numerators are 690,734

Denominators are 81,8449

The GCF of 690,734 is 2 .

LCM of 81,8449 is 684369.

The greatest common factor of 690/81,734/8449 = [GCF of 690,734]/[LCM of 81,8449]= 2/684369

Therefore, the GCF of 690/81,734/8449 is 2/684369.

Greatest Common Factor of 690,734

To find the highest common factor of 690,734, we have to find the factors of both numbers and list the highest common factor.

The factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

The factors of 734 are 1, 2, 367, 734

The HCF of 690,734 is 2.

Lets's calculate GCF of 690,734

Greatest Common Factor (GCF) of 690,734 By Common Division

2	690, 734
	345, 367

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 690,734 By Matching Biggest Common Factor Method

Now, list down the factors of 690

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Now, list down the factors of 734

1,2,367,734

Greatest Common Factor

We found the factors 690,734 . The biggest common factor number is the GCF number.
So the greatest common factor 690,734 is 2.

Lets's calculate LCM of 81,8449

Lowest Common Multiple of 81,8449 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 684369

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/684369

Therefore, the GCF of Fractions 690/81,734/8449 is 2/684369

Least Common Multiple of 81,8449 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 81,8449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,8449) = 1

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

GCF(81,8449) x common factors =1 x 1 = 1

LCM(81,8449) = ( 81 × 8449 ) / 1

LCM(81,8449) = 684369 / 1

LCM(81,8449) = 684369

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FAQs on GCF of Fractions of 690/81, 734/8449

1. What is the HCF of 690,734?

The HCF of 690,734 is 2

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 690/81, 734/8449?

Answer: GCF of Numerators as per given numbers 690/81, 734/8449 is

GCF of Numerators i.e. for 690,734 is 2

LCM of denominators i.e. for 81,8449 is 684369.

Thus, GCF of Fractions is 2/684369.Finally, GCF of Fractions for 690/81, 734/8449 is 2/684369.