How to Find GCF of 5783/677, 6828/6934?

GCF of 5783/677, 6828/6934

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 5783/677, 6828/6934 i.e 1/4694318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5783/677, 6828/6934.

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 5783/677,6828/6934?

Given fractions are 5783/677,6828/6934

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 5783/677,6828/6934, numerators are 5783,6828

Denominators are 677,6934

The GCF of 5783,6828 is 1 .

LCM of 677,6934 is 4694318.

The greatest common factor of 5783/677,6828/6934 = [GCF of 5783,6828]/[LCM of 677,6934]= 1/4694318

Therefore, the GCF of 5783/677,6828/6934 is 1/4694318.

Greatest Common Factor of 5783,6828

To find the highest common factor of 5783,6828, we have to find the factors of both numbers and list the highest common factor.

The factors of 5783 are 1, 5783

The factors of 6828 are 1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828

The HCF of 5783,6828 is 1.

Lets's calculate GCF of 5783,6828

Greatest Common Factor (GCF) of 5783,6828 By Common Division

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

Greatest Common Factor of 5783,6828 By Matching Biggest Common Factor Method

Now, list down the factors of 5783

1,5783

Now, list down the factors of 6828

1,2,3,4,6,12,569,1138,1707,2276,3414,6828

Greatest Common Factor

We found the factors 5783,6828 . The biggest common factor number is the GCF number.
So the greatest common factor 5783,6828 is 1.

Lets's calculate LCM of 677,6934

Lowest Common Multiple of 677,6934 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4694318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4694318

Therefore, the GCF of Fractions 5783/677,6828/6934 is 1/4694318

Least Common Multiple of 677,6934 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 677,6934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,6934) = 1

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

GCF(677,6934) x common factors =1 x 1 = 1

LCM(677,6934) = ( 677 × 6934 ) / 1

LCM(677,6934) = 4694318 / 1

LCM(677,6934) = 4694318

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5783/677, 6828/6934

1. What is the HCF of 5783,6828?

The HCF of 5783,6828 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 5783/677, 6828/6934?

Answer: GCF of Numerators as per given numbers 5783/677, 6828/6934 is

GCF of Numerators i.e. for 5783,6828 is 1

LCM of denominators i.e. for 677,6934 is 4694318.

Thus, GCF of Fractions is 1/4694318.Finally, GCF of Fractions for 5783/677, 6828/6934 is 1/4694318.