How to Find GCF of 6697/376, 5761/9296?

GCF of 6697/376, 5761/9296

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 6697/376, 5761/9296 i.e 1/436912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6697/376, 5761/9296.

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 6697/376,5761/9296?

Given fractions are 6697/376,5761/9296

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 6697/376,5761/9296, numerators are 6697,5761

Denominators are 376,9296

The GCF of 6697,5761 is 1 .

LCM of 376,9296 is 436912.

The greatest common factor of 6697/376,5761/9296 = [GCF of 6697,5761]/[LCM of 376,9296]= 1/436912

Therefore, the GCF of 6697/376,5761/9296 is 1/436912.

Greatest Common Factor of 6697,5761

To find the highest common factor of 6697,5761, we have to find the factors of both numbers and list the highest common factor.

The factors of 6697 are 1, 37, 181, 6697

The factors of 5761 are 1, 7, 823, 5761

The HCF of 6697,5761 is 1.

Lets's calculate GCF of 6697,5761

Greatest Common Factor (GCF) of 6697,5761 By Common Division

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

Greatest Common Factor of 6697,5761 By Matching Biggest Common Factor Method

Now, list down the factors of 6697

1,37,181,6697

Now, list down the factors of 5761

1,7,823,5761

Greatest Common Factor

We found the factors 6697,5761 . The biggest common factor number is the GCF number.
So the greatest common factor 6697,5761 is 1.

Lets's calculate LCM of 376,9296

Lowest Common Multiple of 376,9296 using Common Division

2	376, 9296
2	188, 4648
2	94, 2324
	47, 1162

∴ So the LCM of the given numbers is 2 x 2 x 2 x 47 x 1162 = 436912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/436912

Therefore, the GCF of Fractions 6697/376,5761/9296 is 1/436912

Least Common Multiple of 376,9296 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 376,9296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,9296) = 8

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

GCF(376,9296) x common factors =8 x 1 = 8

LCM(376,9296) = ( 376 × 9296 ) / 8

LCM(376,9296) = 3495296 / 8

LCM(376,9296) = 436912

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FAQs on GCF of Fractions of 6697/376, 5761/9296

1. What is the HCF of 6697,5761?

The HCF of 6697,5761 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 6697/376, 5761/9296?

Answer: GCF of Numerators as per given numbers 6697/376, 5761/9296 is

GCF of Numerators i.e. for 6697,5761 is 1

LCM of denominators i.e. for 376,9296 is 436912.

Thus, GCF of Fractions is 1/436912.Finally, GCF of Fractions for 6697/376, 5761/9296 is 1/436912.