How to Find GCF of 7282/902, 3229/5438?

GCF of 7282/902, 3229/5438

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 7282/902, 3229/5438 i.e 1/2452538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7282/902, 3229/5438.

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 7282/902,3229/5438?

Given fractions are 7282/902,3229/5438

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 7282/902,3229/5438, numerators are 7282,3229

Denominators are 902,5438

The GCF of 7282,3229 is 1 .

LCM of 902,5438 is 2452538.

The greatest common factor of 7282/902,3229/5438 = [GCF of 7282,3229]/[LCM of 902,5438]= 1/2452538

Therefore, the GCF of 7282/902,3229/5438 is 1/2452538.

Greatest Common Factor of 7282,3229

To find the highest common factor of 7282,3229, we have to find the factors of both numbers and list the highest common factor.

The factors of 7282 are 1, 2, 11, 22, 331, 662, 3641, 7282

The factors of 3229 are 1, 3229

The HCF of 7282,3229 is 1.

Lets's calculate GCF of 7282,3229

Greatest Common Factor (GCF) of 7282,3229 By Common Division

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

Greatest Common Factor of 7282,3229 By Matching Biggest Common Factor Method

Now, list down the factors of 7282

1,2,11,22,331,662,3641,7282

Now, list down the factors of 3229

1,3229

Greatest Common Factor

We found the factors 7282,3229 . The biggest common factor number is the GCF number.
So the greatest common factor 7282,3229 is 1.

Lets's calculate LCM of 902,5438

Lowest Common Multiple of 902,5438 using Common Division

2	902, 5438
	451, 2719

∴ So the LCM of the given numbers is 2 x 451 x 2719 = 2452538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2452538

Therefore, the GCF of Fractions 7282/902,3229/5438 is 1/2452538

Least Common Multiple of 902,5438 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 902,5438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(902,5438) = 2

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

GCF(902,5438) x common factors =2 x 1 = 2

LCM(902,5438) = ( 902 × 5438 ) / 2

LCM(902,5438) = 4905076 / 2

LCM(902,5438) = 2452538

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FAQs on GCF of Fractions of 7282/902, 3229/5438

1. What is the HCF of 7282,3229?

The HCF of 7282,3229 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 7282/902, 3229/5438?

Answer: GCF of Numerators as per given numbers 7282/902, 3229/5438 is

GCF of Numerators i.e. for 7282,3229 is 1

LCM of denominators i.e. for 902,5438 is 2452538.

Thus, GCF of Fractions is 1/2452538.Finally, GCF of Fractions for 7282/902, 3229/5438 is 1/2452538.