How to Find GCF of 6192/233, 5144/584?

GCF of 6192/233, 5144/584

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 6192/233, 5144/584 i.e 8/136072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6192/233, 5144/584.

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 6192/233,5144/584?

Given fractions are 6192/233,5144/584

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 6192/233,5144/584, numerators are 6192,5144

Denominators are 233,584

The GCF of 6192,5144 is 8 .

LCM of 233,584 is 136072.

The greatest common factor of 6192/233,5144/584 = [GCF of 6192,5144]/[LCM of 233,584]= 8/136072

Therefore, the GCF of 6192/233,5144/584 is 8/136072.

Greatest Common Factor of 6192,5144

To find the highest common factor of 6192,5144, we have to find the factors of both numbers and list the highest common factor.

The factors of 6192 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 43, 48, 72, 86, 129, 144, 172, 258, 344, 387, 516, 688, 774, 1032, 1548, 2064, 3096, 6192

The factors of 5144 are 1, 2, 4, 8, 643, 1286, 2572, 5144

The HCF of 6192,5144 is 8.

Lets's calculate GCF of 6192,5144

Greatest Common Factor (GCF) of 6192,5144 By Common Division

2	6192, 5144
2	3096, 2572
2	1548, 1286
	774, 643

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 6192,5144 By Matching Biggest Common Factor Method

Now, list down the factors of 6192

1,2,3,4,6,8,9,12,16,18,24,36,43,48,72,86,129,144,172,258,344,387,516,688,774,1032,1548,2064,3096,6192

Now, list down the factors of 5144

1,2,4,8,643,1286,2572,5144

Greatest Common Factor

We found the factors 6192,5144 . The biggest common factor number is the GCF number.
So the greatest common factor 6192,5144 is 8.

Lets's calculate LCM of 233,584

Lowest Common Multiple of 233,584 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 136072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/136072

Therefore, the GCF of Fractions 6192/233,5144/584 is 8/136072

Least Common Multiple of 233,584 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 233,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,584) = 1

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

GCF(233,584) x common factors =1 x 1 = 1

LCM(233,584) = ( 233 × 584 ) / 1

LCM(233,584) = 136072 / 1

LCM(233,584) = 136072

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FAQs on GCF of Fractions of 6192/233, 5144/584

1. What is the HCF of 6192,5144?

The HCF of 6192,5144 is 8

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 6192/233, 5144/584?

Answer: GCF of Numerators as per given numbers 6192/233, 5144/584 is

GCF of Numerators i.e. for 6192,5144 is 8

LCM of denominators i.e. for 233,584 is 136072.

Thus, GCF of Fractions is 8/136072.Finally, GCF of Fractions for 6192/233, 5144/584 is 8/136072.