How to Find GCF of 6779/656, 5843/5784?

GCF of 6779/656, 5843/5784

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 6779/656, 5843/5784 i.e 1/474288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6779/656, 5843/5784.

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 6779/656,5843/5784?

Given fractions are 6779/656,5843/5784

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 6779/656,5843/5784, numerators are 6779,5843

Denominators are 656,5784

The GCF of 6779,5843 is 1 .

LCM of 656,5784 is 474288.

The greatest common factor of 6779/656,5843/5784 = [GCF of 6779,5843]/[LCM of 656,5784]= 1/474288

Therefore, the GCF of 6779/656,5843/5784 is 1/474288.

Greatest Common Factor of 6779,5843

To find the highest common factor of 6779,5843, we have to find the factors of both numbers and list the highest common factor.

The factors of 6779 are 1, 6779

The factors of 5843 are 1, 5843

The HCF of 6779,5843 is 1.

Lets's calculate GCF of 6779,5843

Greatest Common Factor (GCF) of 6779,5843 By Common Division

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

Greatest Common Factor of 6779,5843 By Matching Biggest Common Factor Method

Now, list down the factors of 6779

1,6779

Now, list down the factors of 5843

1,5843

Greatest Common Factor

We found the factors 6779,5843 . The biggest common factor number is the GCF number.
So the greatest common factor 6779,5843 is 1.

Lets's calculate LCM of 656,5784

Lowest Common Multiple of 656,5784 using Common Division

2	656, 5784
2	328, 2892
2	164, 1446
	82, 723

∴ So the LCM of the given numbers is 2 x 2 x 2 x 82 x 723 = 474288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/474288

Therefore, the GCF of Fractions 6779/656,5843/5784 is 1/474288

Least Common Multiple of 656,5784 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 656,5784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,5784) = 8

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

GCF(656,5784) x common factors =8 x 1 = 8

LCM(656,5784) = ( 656 × 5784 ) / 8

LCM(656,5784) = 3794304 / 8

LCM(656,5784) = 474288

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FAQs on GCF of Fractions of 6779/656, 5843/5784

1. What is the HCF of 6779,5843?

The HCF of 6779,5843 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 6779/656, 5843/5784?

Answer: GCF of Numerators as per given numbers 6779/656, 5843/5784 is

GCF of Numerators i.e. for 6779,5843 is 1

LCM of denominators i.e. for 656,5784 is 474288.

Thus, GCF of Fractions is 1/474288.Finally, GCF of Fractions for 6779/656, 5843/5784 is 1/474288.