How to Find GCF of 89/212, 94/592, 269/629?

GCF of 89/212, 94/592, 269/629

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 89/212, 94/592, 269/629 i.e 1/533392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 89/212, 94/592, 269/629.

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 89/212,94/592,269/629?

Given fractions are 89/212,94/592,269/629

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 89/212,94/592,269/629, numerators are 89,94,269

Denominators are 212,592,629

The GCF of 89,94,269 is 1 .

LCM of 212,592,629 is 533392.

The greatest common factor of 89/212,94/592,269/629 = [GCF of 89,94,269]/[LCM of 212,592,629]= 1/533392

Therefore, the GCF of 89/212,94/592,269/629 is 1/533392.

Greatest Common Factor of 89,94,269

To find the highest common factor of 89,94,269, we have to find the factors of both numbers and list the highest common factor.

The factors of 89 are 1, 89

The factors of 94 are 1, 2, 47, 94

The factors of 269 are 1, 269

The HCF of 89,94,269 is 1.

Lets's calculate GCF of 89,94,269

Greatest Common Factor (GCF) of 89,94,269 By Common Division

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

Greatest Common Factor of 89,94,269 By Matching Biggest Common Factor Method

Now, list down the factors of 89

1,89

Now, list down the factors of 94

1,2,47,94

Now, list down the factors of 269

1,269

Greatest Common Factor

We found the factors 89,94,269 . The biggest common factor number is the GCF number.
So the greatest common factor 89,94,269 is 1.

Lets's calculate LCM of 212,592,629

Lowest Common Multiple of 212,592,629 using Common Division

2	212, 592, 629
2	106, 296, 629
37	53, 148, 629
	53, 4, 17

∴ So the LCM of the given numbers is 2 x 2 x 37 x 53 x 4 x 17 = 533392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/533392

Therefore, the GCF of Fractions 89/212,94/592,269/629 is 1/533392

Least Common Multiple of 212,592,629 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 212,592,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,592,629) = 1

common factors(in case of two or more numbers have common factors) = 148

GCF(212,592,629) x common factors =1 x 148 = 148

LCM(212,592,629) = ( 212 × 592 × 629 ) / 148

LCM(212,592,629) = 78942016 / 148

LCM(212,592,629) = 533392

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FAQs on GCF of Fractions of 89/212, 94/592, 269/629

1. What is the HCF of 89,94,269?

The HCF of 89,94,269 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 89/212, 94/592, 269/629?

Answer: GCF of Numerators as per given numbers 89/212, 94/592, 269/629 is

GCF of Numerators i.e. for 89,94,269 is 1

LCM of denominators i.e. for 212,592,629 is 533392.

Thus, GCF of Fractions is 1/533392.Finally, GCF of Fractions for 89/212, 94/592, 269/629 is 1/533392.