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GCF of 276/273, 429/218

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 276/273, 429/218 i.e 3/59514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 276/273, 429/218.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 276/273,429/218?

Given fractions are 276/273,429/218

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 276/273,429/218, numerators are 276,429

Denominators are 273,218

The GCF of 276,429 is 3 .

LCM of 273,218 is 59514.

The greatest common factor of 276/273,429/218 = [GCF of 276,429]/[LCM of 273,218]= 3/59514

Therefore, the GCF of 276/273,429/218 is 3/59514.

Greatest Common Factor of 276,429

To find the highest common factor of 276,429, we have to find the factors of both numbers and list the highest common factor.

The factors of 276 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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

The HCF of 276,429 is 3.

Lets's calculate GCF of 276,429

Greatest Common Factor (GCF) of 276,429 By Common Division

3 276, 429
92, 143

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 276,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,429 By Matching Biggest Common Factor Method

Now, list down the factors of 276

:

1,2,3,4,6,12,23,46,69,92,138,276

Now, list down the factors of 429

:

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

Greatest Common Factor

We found the factors 276,429 . The biggest common factor number is the GCF number.
So the greatest common factor 276,429 is 3.

Lets's calculate LCM of 273,218

Lowest Common Multiple of 273,218 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 59514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/59514

Therefore, the GCF of Fractions 276/273,429/218 is 3/59514

Least Common Multiple of 273,218 with GCF Formula

Least Common Multiple of 273,218 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 273,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,218) = 1

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

GCF(273,218) x common factors =1 x 1 = 1

LCM(273,218) = ( 273 × 218 ) / 1

LCM(273,218) = 59514 / 1

LCM(273,218) = 59514


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FAQs on GCF of Fractions of 276/273, 429/218

1. What is the HCF of 276,429?

The HCF of 276,429 is 3

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 276/273, 429/218?

Answer: GCF of Numerators as per given numbers 276/273, 429/218 is

GCF of Numerators i.e. for 276,429 is 3

LCM of denominators i.e. for 273,218 is 59514.

Thus, GCF of Fractions is 3/59514.Finally, GCF of Fractions for 276/273, 429/218 is 3/59514.