How to Find GCF of 5482/142, 1233/6046?

GCF of 5482/142, 1233/6046

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 5482/142, 1233/6046 i.e 1/429266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5482/142, 1233/6046.

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 5482/142,1233/6046?

Given fractions are 5482/142,1233/6046

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 5482/142,1233/6046, numerators are 5482,1233

Denominators are 142,6046

The GCF of 5482,1233 is 1 .

LCM of 142,6046 is 429266.

The greatest common factor of 5482/142,1233/6046 = [GCF of 5482,1233]/[LCM of 142,6046]= 1/429266

Therefore, the GCF of 5482/142,1233/6046 is 1/429266.

Greatest Common Factor of 5482,1233

To find the highest common factor of 5482,1233, we have to find the factors of both numbers and list the highest common factor.

The factors of 5482 are 1, 2, 2741, 5482

The factors of 1233 are 1, 3, 9, 137, 411, 1233

The HCF of 5482,1233 is 1.

Lets's calculate GCF of 5482,1233

Greatest Common Factor (GCF) of 5482,1233 By Common Division

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

Greatest Common Factor of 5482,1233 By Matching Biggest Common Factor Method

Now, list down the factors of 5482

1,2,2741,5482

Now, list down the factors of 1233

1,3,9,137,411,1233

Greatest Common Factor

We found the factors 5482,1233 . The biggest common factor number is the GCF number.
So the greatest common factor 5482,1233 is 1.

Lets's calculate LCM of 142,6046

Lowest Common Multiple of 142,6046 using Common Division

2	142, 6046
	71, 3023

∴ So the LCM of the given numbers is 2 x 71 x 3023 = 429266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429266

Therefore, the GCF of Fractions 5482/142,1233/6046 is 1/429266

Least Common Multiple of 142,6046 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 142,6046 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,6046) = 2

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

GCF(142,6046) x common factors =2 x 1 = 2

LCM(142,6046) = ( 142 × 6046 ) / 2

LCM(142,6046) = 858532 / 2

LCM(142,6046) = 429266

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FAQs on GCF of Fractions of 5482/142, 1233/6046

1. What is the HCF of 5482,1233?

The HCF of 5482,1233 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 5482/142, 1233/6046?

Answer: GCF of Numerators as per given numbers 5482/142, 1233/6046 is

GCF of Numerators i.e. for 5482,1233 is 1

LCM of denominators i.e. for 142,6046 is 429266.

Thus, GCF of Fractions is 1/429266.Finally, GCF of Fractions for 5482/142, 1233/6046 is 1/429266.