How to Find GCF of 273/978, 429/836?

GCF of 273/978, 429/836

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 273/978, 429/836 i.e 39/408804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 273/978, 429/836.

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 273/978,429/836?

Given fractions are 273/978,429/836

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 273/978,429/836, numerators are 273,429

Denominators are 978,836

The GCF of 273,429 is 39 .

LCM of 978,836 is 408804.

The greatest common factor of 273/978,429/836 = [GCF of 273,429]/[LCM of 978,836]= 39/408804

Therefore, the GCF of 273/978,429/836 is 39/408804.

Greatest Common Factor of 273,429

To find the highest common factor of 273,429, we have to find the factors of both numbers and list the highest common factor.

The factors of 273 are 1, 3, 7, 13, 21, 39, 91, 273

The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429

The HCF of 273,429 is 39.

Lets's calculate GCF of 273,429

Greatest Common Factor (GCF) of 273,429 By Common Division

3	273, 429
13	91, 143
	7, 11

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 273,429 By Matching Biggest Common Factor Method

Now, list down the factors of 273

1,3,7,13,21,39,91,273

Now, list down the factors of 429

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 273,429 . The biggest common factor number is the GCF number.
So the greatest common factor 273,429 is 39.

Lets's calculate LCM of 978,836

Lowest Common Multiple of 978,836 using Common Division

2	978, 836
	489, 418

∴ So the LCM of the given numbers is 2 x 489 x 418 = 408804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/408804

Therefore, the GCF of Fractions 273/978,429/836 is 39/408804

Least Common Multiple of 978,836 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 978,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,836) = 2

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

GCF(978,836) x common factors =2 x 1 = 2

LCM(978,836) = ( 978 × 836 ) / 2

LCM(978,836) = 817608 / 2

LCM(978,836) = 408804

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FAQs on GCF of Fractions of 273/978, 429/836

1. What is the HCF of 273,429?

The HCF of 273,429 is 39

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 273/978, 429/836?

Answer: GCF of Numerators as per given numbers 273/978, 429/836 is

GCF of Numerators i.e. for 273,429 is 39

LCM of denominators i.e. for 978,836 is 408804.

Thus, GCF of Fractions is 39/408804.Finally, GCF of Fractions for 273/978, 429/836 is 39/408804.