How to Find GCF of 3033/633, 5219/8618?

GCF of 3033/633, 5219/8618

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 3033/633, 5219/8618 i.e 1/5455194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3033/633, 5219/8618.

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 3033/633,5219/8618?

Given fractions are 3033/633,5219/8618

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 3033/633,5219/8618, numerators are 3033,5219

Denominators are 633,8618

The GCF of 3033,5219 is 1 .

LCM of 633,8618 is 5455194.

The greatest common factor of 3033/633,5219/8618 = [GCF of 3033,5219]/[LCM of 633,8618]= 1/5455194

Therefore, the GCF of 3033/633,5219/8618 is 1/5455194.

Greatest Common Factor of 3033,5219

To find the highest common factor of 3033,5219, we have to find the factors of both numbers and list the highest common factor.

The factors of 3033 are 1, 3, 9, 337, 1011, 3033

The factors of 5219 are 1, 17, 307, 5219

The HCF of 3033,5219 is 1.

Lets's calculate GCF of 3033,5219

Greatest Common Factor (GCF) of 3033,5219 By Common Division

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

Greatest Common Factor of 3033,5219 By Matching Biggest Common Factor Method

Now, list down the factors of 3033

1,3,9,337,1011,3033

Now, list down the factors of 5219

1,17,307,5219

Greatest Common Factor

We found the factors 3033,5219 . The biggest common factor number is the GCF number.
So the greatest common factor 3033,5219 is 1.

Lets's calculate LCM of 633,8618

Lowest Common Multiple of 633,8618 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5455194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5455194

Therefore, the GCF of Fractions 3033/633,5219/8618 is 1/5455194

Least Common Multiple of 633,8618 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 633,8618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(633,8618) = 1

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

GCF(633,8618) x common factors =1 x 1 = 1

LCM(633,8618) = ( 633 × 8618 ) / 1

LCM(633,8618) = 5455194 / 1

LCM(633,8618) = 5455194

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FAQs on GCF of Fractions of 3033/633, 5219/8618

1. What is the HCF of 3033,5219?

The HCF of 3033,5219 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 3033/633, 5219/8618?

Answer: GCF of Numerators as per given numbers 3033/633, 5219/8618 is

GCF of Numerators i.e. for 3033,5219 is 1

LCM of denominators i.e. for 633,8618 is 5455194.

Thus, GCF of Fractions is 1/5455194.Finally, GCF of Fractions for 3033/633, 5219/8618 is 1/5455194.