How to Find GCF of 544/342, 5328/391?

GCF of 544/342, 5328/391

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 544/342, 5328/391 i.e 16/133722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 544/342, 5328/391.

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 544/342,5328/391?

Given fractions are 544/342,5328/391

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 544/342,5328/391, numerators are 544,5328

Denominators are 342,391

The GCF of 544,5328 is 16 .

LCM of 342,391 is 133722.

The greatest common factor of 544/342,5328/391 = [GCF of 544,5328]/[LCM of 342,391]= 16/133722

Therefore, the GCF of 544/342,5328/391 is 16/133722.

Greatest Common Factor of 544,5328

To find the highest common factor of 544,5328, we have to find the factors of both numbers and list the highest common factor.

The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

The factors of 5328 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 37, 48, 72, 74, 111, 144, 148, 222, 296, 333, 444, 592, 666, 888, 1332, 1776, 2664, 5328

The HCF of 544,5328 is 16.

Lets's calculate GCF of 544,5328

Greatest Common Factor (GCF) of 544,5328 By Common Division

2	544, 5328
2	272, 2664
2	136, 1332
2	68, 666
	34, 333

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 544,5328 By Matching Biggest Common Factor Method

Now, list down the factors of 544

1,2,4,8,16,17,32,34,68,136,272,544

Now, list down the factors of 5328

1,2,3,4,6,8,9,12,16,18,24,36,37,48,72,74,111,144,148,222,296,333,444,592,666,888,1332,1776,2664,5328

Greatest Common Factor

We found the factors 544,5328 . The biggest common factor number is the GCF number.
So the greatest common factor 544,5328 is 16.

Lets's calculate LCM of 342,391

Lowest Common Multiple of 342,391 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 133722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/133722

Therefore, the GCF of Fractions 544/342,5328/391 is 16/133722

Least Common Multiple of 342,391 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 342,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,391) = 1

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

GCF(342,391) x common factors =1 x 1 = 1

LCM(342,391) = ( 342 × 391 ) / 1

LCM(342,391) = 133722 / 1

LCM(342,391) = 133722

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FAQs on GCF of Fractions of 544/342, 5328/391

1. What is the HCF of 544,5328?

The HCF of 544,5328 is 16

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 544/342, 5328/391?

Answer: GCF of Numerators as per given numbers 544/342, 5328/391 is

GCF of Numerators i.e. for 544,5328 is 16

LCM of denominators i.e. for 342,391 is 133722.

Thus, GCF of Fractions is 16/133722.Finally, GCF of Fractions for 544/342, 5328/391 is 16/133722.