How to Find GCF of 6833/748, 5035/4428?

GCF of 6833/748, 5035/4428

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 6833/748, 5035/4428 i.e 1/828036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6833/748, 5035/4428.

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 6833/748,5035/4428?

Given fractions are 6833/748,5035/4428

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 6833/748,5035/4428, numerators are 6833,5035

Denominators are 748,4428

The GCF of 6833,5035 is 1 .

LCM of 748,4428 is 828036.

The greatest common factor of 6833/748,5035/4428 = [GCF of 6833,5035]/[LCM of 748,4428]= 1/828036

Therefore, the GCF of 6833/748,5035/4428 is 1/828036.

Greatest Common Factor of 6833,5035

To find the highest common factor of 6833,5035, we have to find the factors of both numbers and list the highest common factor.

The factors of 6833 are 1, 6833

The factors of 5035 are 1, 5, 19, 53, 95, 265, 1007, 5035

The HCF of 6833,5035 is 1.

Lets's calculate GCF of 6833,5035

Greatest Common Factor (GCF) of 6833,5035 By Common Division

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

Greatest Common Factor of 6833,5035 By Matching Biggest Common Factor Method

Now, list down the factors of 6833

1,6833

Now, list down the factors of 5035

1,5,19,53,95,265,1007,5035

Greatest Common Factor

We found the factors 6833,5035 . The biggest common factor number is the GCF number.
So the greatest common factor 6833,5035 is 1.

Lets's calculate LCM of 748,4428

Lowest Common Multiple of 748,4428 using Common Division

2	748, 4428
2	374, 2214
	187, 1107

∴ So the LCM of the given numbers is 2 x 2 x 187 x 1107 = 828036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/828036

Therefore, the GCF of Fractions 6833/748,5035/4428 is 1/828036

Least Common Multiple of 748,4428 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 748,4428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,4428) = 4

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

GCF(748,4428) x common factors =4 x 1 = 4

LCM(748,4428) = ( 748 × 4428 ) / 4

LCM(748,4428) = 3312144 / 4

LCM(748,4428) = 828036

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6833/748, 5035/4428

1. What is the HCF of 6833,5035?

The HCF of 6833,5035 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 6833/748, 5035/4428?

Answer: GCF of Numerators as per given numbers 6833/748, 5035/4428 is

GCF of Numerators i.e. for 6833,5035 is 1

LCM of denominators i.e. for 748,4428 is 828036.

Thus, GCF of Fractions is 1/828036.Finally, GCF of Fractions for 6833/748, 5035/4428 is 1/828036.