Greatest Common Factor of 3758/497, 4004/6811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3758/497, 4004/6811

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3758/497,4004/6811

Given fractions are 3758/497,4004/6811

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3758,4004

Greatest Common Factor of Numerators i.e. GCF of 3758,4004 is 2 .

LCM of Denominators means LCM of 497,6811 as per the given fractions.

LCM of 497,6811 is 483581 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3758,4004

GCF of Fractions 3758/497,4004/6811 is 2/483581

2 3758, 4004
1879, 2002

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

Greatest Common Factor of 3758,4004 By Matching Biggest Common Factor Method

Greatest Common Factor of 3758,4004 By Matching Biggest Common Factor Method

Factors of 3758

List of positive integer factors of 3758 that divides 3758 without a remainder.

1,2,1879,3758

Factors of 4004

List of positive integer factors of 4004 that divides 4004 without a remainder.

1,2,4,7,11,13,14,22,26,28,44,52,77,91,143,154,182,286,308,364,572,1001,2002,4004

Greatest Common Factor

We found the factors 3758,4004 . The biggest common factor number is the GCF number.
So the greatest common factor 3758,4004 is 2.

Lets's calculate LCM of 497,6811

7 497, 6811
71, 973

∴ So the LCM of the given numbers is 7 x 71 x 973 = 483581

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/483581

Therefore, the GCF of Fractions 3758/497,4004/6811 is 2/483581

Least Common Multiple of 497,6811 with GCF Formula

Least Common Multiple of 497,6811 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 497,6811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,6811) = 7

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

GCF(497,6811) x common factors =7 x 1 = 7

LCM(497,6811) = ( 497 × 6811 ) / 7

LCM(497,6811) = 3385067 / 7

LCM(497,6811) = 483581


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3758/497, 4004/6811

1. 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.

2. What is the GCF of Fractions for 3758/497, 4004/6811?

Answer: GCF of Numerators as per given numbers 3758/497, 4004/6811 is

GCF of Numerators i.e. for 3758,4004 is 2

LCM of denominators i.e. for 497,6811 is 483581.

Thus, GCF of Fractions is 2/483581.Finally, GCF of Fractions for 3758/497, 4004/6811 is 2/483581.