How to Find GCF of 54/23, 991/67, 429/115?

GCF of 54/23, 991/67, 429/115

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 54/23, 991/67, 429/115 i.e 1/7705 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/23, 991/67, 429/115.

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 54/23,991/67,429/115?

Given fractions are 54/23,991/67,429/115

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 54/23,991/67,429/115, numerators are 54,991,429

Denominators are 23,67,115

The GCF of 54,991,429 is 1 .

LCM of 23,67,115 is 7705.

The greatest common factor of 54/23,991/67,429/115 = [GCF of 54,991,429]/[LCM of 23,67,115]= 1/7705

Therefore, the GCF of 54/23,991/67,429/115 is 1/7705.

Greatest Common Factor of 54,991,429

To find the highest common factor of 54,991,429, we have to find the factors of both numbers and list the highest common factor.

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

The factors of 991 are 1, 991

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

The HCF of 54,991,429 is 1.

Lets's calculate GCF of 54,991,429

Greatest Common Factor (GCF) of 54,991,429 By Common Division

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

Greatest Common Factor of 54,991,429 By Matching Biggest Common Factor Method

Now, list down the factors of 54

1,2,3,6,9,18,27,54

Now, list down the factors of 991

1,991

Now, list down the factors of 429

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

Greatest Common Factor

We found the factors 54,991,429 . The biggest common factor number is the GCF number.
So the greatest common factor 54,991,429 is 1.

Lets's calculate LCM of 23,67,115

Lowest Common Multiple of 23,67,115 using Common Division

23	23, 67, 115
	1, 67, 5

∴ So the LCM of the given numbers is 23 x 1 x 67 x 5 = 7705

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7705

Therefore, the GCF of Fractions 54/23,991/67,429/115 is 1/7705

Least Common Multiple of 23,67,115 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 23,67,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,67,115) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(23,67,115) x common factors =1 x 23 = 23

LCM(23,67,115) = ( 23 × 67 × 115 ) / 23

LCM(23,67,115) = 177215 / 23

LCM(23,67,115) = 7705

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FAQs on GCF of Fractions of 54/23, 991/67, 429/115

1. What is the HCF of 54,991,429?

The HCF of 54,991,429 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 54/23, 991/67, 429/115?

Answer: GCF of Numerators as per given numbers 54/23, 991/67, 429/115 is

GCF of Numerators i.e. for 54,991,429 is 1

LCM of denominators i.e. for 23,67,115 is 7705.

Thus, GCF of Fractions is 1/7705.Finally, GCF of Fractions for 54/23, 991/67, 429/115 is 1/7705.