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GCF of 583/88, 510/218

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 583/88, 510/218 i.e 1/9592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 583/88, 510/218.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 583/88,510/218?

Given fractions are 583/88,510/218

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 583/88,510/218, numerators are 583,510

Denominators are 88,218

The GCF of 583,510 is 1 .

LCM of 88,218 is 9592.

The greatest common factor of 583/88,510/218 = [GCF of 583,510]/[LCM of 88,218]= 1/9592

Therefore, the GCF of 583/88,510/218 is 1/9592.

Greatest Common Factor of 583,510

To find the highest common factor of 583,510, we have to find the factors of both numbers and list the highest common factor.

The factors of 583 are 1, 11, 53, 583

The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

The HCF of 583,510 is 1.

Lets's calculate GCF of 583,510

Greatest Common Factor (GCF) of 583,510 By Common Division

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

Greatest Common Factor of 583,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,510 By Matching Biggest Common Factor Method

Now, list down the factors of 583

:

1,11,53,583

Now, list down the factors of 510

:

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 583,510 . The biggest common factor number is the GCF number.
So the greatest common factor 583,510 is 1.

Lets's calculate LCM of 88,218

Lowest Common Multiple of 88,218 using Common Division

2 88, 218
44, 109

∴ So the LCM of the given numbers is 2 x 44 x 109 = 9592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9592

Therefore, the GCF of Fractions 583/88,510/218 is 1/9592

Least Common Multiple of 88,218 with GCF Formula

Least Common Multiple of 88,218 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 88,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,218) = 2

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

GCF(88,218) x common factors =2 x 1 = 2

LCM(88,218) = ( 88 × 218 ) / 2

LCM(88,218) = 19184 / 2

LCM(88,218) = 9592


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FAQs on GCF of Fractions of 583/88, 510/218

1. What is the HCF of 583,510?

The HCF of 583,510 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 583/88, 510/218?

Answer: GCF of Numerators as per given numbers 583/88, 510/218 is

GCF of Numerators i.e. for 583,510 is 1

LCM of denominators i.e. for 88,218 is 9592.

Thus, GCF of Fractions is 1/9592.Finally, GCF of Fractions for 583/88, 510/218 is 1/9592.