How to Find GCF of 6857/774, 6365/2924?

GCF of 6857/774, 6365/2924

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 6857/774, 6365/2924 i.e 1/26316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6857/774, 6365/2924.

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 6857/774,6365/2924?

Given fractions are 6857/774,6365/2924

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 6857/774,6365/2924, numerators are 6857,6365

Denominators are 774,2924

The GCF of 6857,6365 is 1 .

LCM of 774,2924 is 26316.

The greatest common factor of 6857/774,6365/2924 = [GCF of 6857,6365]/[LCM of 774,2924]= 1/26316

Therefore, the GCF of 6857/774,6365/2924 is 1/26316.

Greatest Common Factor of 6857,6365

To find the highest common factor of 6857,6365, we have to find the factors of both numbers and list the highest common factor.

The factors of 6857 are 1, 6857

The factors of 6365 are 1, 5, 19, 67, 95, 335, 1273, 6365

The HCF of 6857,6365 is 1.

Lets's calculate GCF of 6857,6365

Greatest Common Factor (GCF) of 6857,6365 By Common Division

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

Greatest Common Factor of 6857,6365 By Matching Biggest Common Factor Method

Now, list down the factors of 6857

1,6857

Now, list down the factors of 6365

1,5,19,67,95,335,1273,6365

Greatest Common Factor

We found the factors 6857,6365 . The biggest common factor number is the GCF number.
So the greatest common factor 6857,6365 is 1.

Lets's calculate LCM of 774,2924

Lowest Common Multiple of 774,2924 using Common Division

2	774, 2924
43	387, 1462
	9, 34

∴ So the LCM of the given numbers is 2 x 43 x 9 x 34 = 26316

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26316

Therefore, the GCF of Fractions 6857/774,6365/2924 is 1/26316

Least Common Multiple of 774,2924 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 774,2924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(774,2924) = 86

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

GCF(774,2924) x common factors =86 x 1 = 86

LCM(774,2924) = ( 774 × 2924 ) / 86

LCM(774,2924) = 2263176 / 86

LCM(774,2924) = 26316

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6857/774, 6365/2924

1. What is the HCF of 6857,6365?

The HCF of 6857,6365 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 6857/774, 6365/2924?

Answer: GCF of Numerators as per given numbers 6857/774, 6365/2924 is

GCF of Numerators i.e. for 6857,6365 is 1

LCM of denominators i.e. for 774,2924 is 26316.

Thus, GCF of Fractions is 1/26316.Finally, GCF of Fractions for 6857/774, 6365/2924 is 1/26316.