How to Find GCF of 4432/585, 6488/110?

GCF of 4432/585, 6488/110

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 4432/585, 6488/110 i.e 8/12870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4432/585, 6488/110.

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 4432/585,6488/110?

Given fractions are 4432/585,6488/110

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 4432/585,6488/110, numerators are 4432,6488

Denominators are 585,110

The GCF of 4432,6488 is 8 .

LCM of 585,110 is 12870.

The greatest common factor of 4432/585,6488/110 = [GCF of 4432,6488]/[LCM of 585,110]= 8/12870

Therefore, the GCF of 4432/585,6488/110 is 8/12870.

Greatest Common Factor of 4432,6488

To find the highest common factor of 4432,6488, we have to find the factors of both numbers and list the highest common factor.

The factors of 4432 are 1, 2, 4, 8, 16, 277, 554, 1108, 2216, 4432

The factors of 6488 are 1, 2, 4, 8, 811, 1622, 3244, 6488

The HCF of 4432,6488 is 8.

Lets's calculate GCF of 4432,6488

Greatest Common Factor (GCF) of 4432,6488 By Common Division

2	4432, 6488
2	2216, 3244
2	1108, 1622
	554, 811

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

Greatest Common Factor of 4432,6488 By Matching Biggest Common Factor Method

Now, list down the factors of 4432

1,2,4,8,16,277,554,1108,2216,4432

Now, list down the factors of 6488

1,2,4,8,811,1622,3244,6488

Greatest Common Factor

We found the factors 4432,6488 . The biggest common factor number is the GCF number.
So the greatest common factor 4432,6488 is 8.

Lets's calculate LCM of 585,110

Lowest Common Multiple of 585,110 using Common Division

5	585, 110
	117, 22

∴ So the LCM of the given numbers is 5 x 117 x 22 = 12870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/12870

Therefore, the GCF of Fractions 4432/585,6488/110 is 8/12870

Least Common Multiple of 585,110 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 585,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,110) = 5

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

GCF(585,110) x common factors =5 x 1 = 5

LCM(585,110) = ( 585 × 110 ) / 5

LCM(585,110) = 64350 / 5

LCM(585,110) = 12870

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FAQs on GCF of Fractions of 4432/585, 6488/110

1. What is the HCF of 4432,6488?

The HCF of 4432,6488 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 4432/585, 6488/110?

Answer: GCF of Numerators as per given numbers 4432/585, 6488/110 is

GCF of Numerators i.e. for 4432,6488 is 8

LCM of denominators i.e. for 585,110 is 12870.

Thus, GCF of Fractions is 8/12870.Finally, GCF of Fractions for 4432/585, 6488/110 is 8/12870.