How to Find GCF of 1824/986, 5210/5609?

GCF of 1824/986, 5210/5609

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 1824/986, 5210/5609 i.e 2/5530474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1824/986, 5210/5609.

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 1824/986,5210/5609?

Given fractions are 1824/986,5210/5609

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 1824/986,5210/5609, numerators are 1824,5210

Denominators are 986,5609

The GCF of 1824,5210 is 2 .

LCM of 986,5609 is 5530474.

The greatest common factor of 1824/986,5210/5609 = [GCF of 1824,5210]/[LCM of 986,5609]= 2/5530474

Therefore, the GCF of 1824/986,5210/5609 is 2/5530474.

Greatest Common Factor of 1824,5210

To find the highest common factor of 1824,5210, we have to find the factors of both numbers and list the highest common factor.

The factors of 1824 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 76, 96, 114, 152, 228, 304, 456, 608, 912, 1824

The factors of 5210 are 1, 2, 5, 10, 521, 1042, 2605, 5210

The HCF of 1824,5210 is 2.

Lets's calculate GCF of 1824,5210

Greatest Common Factor (GCF) of 1824,5210 By Common Division

2	1824, 5210
	912, 2605

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

Greatest Common Factor of 1824,5210 By Matching Biggest Common Factor Method

Now, list down the factors of 1824

1,2,3,4,6,8,12,16,19,24,32,38,48,57,76,96,114,152,228,304,456,608,912,1824

Now, list down the factors of 5210

1,2,5,10,521,1042,2605,5210

Greatest Common Factor

We found the factors 1824,5210 . The biggest common factor number is the GCF number.
So the greatest common factor 1824,5210 is 2.

Lets's calculate LCM of 986,5609

Lowest Common Multiple of 986,5609 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5530474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5530474

Therefore, the GCF of Fractions 1824/986,5210/5609 is 2/5530474

Least Common Multiple of 986,5609 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 986,5609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,5609) = 1

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

GCF(986,5609) x common factors =1 x 1 = 1

LCM(986,5609) = ( 986 × 5609 ) / 1

LCM(986,5609) = 5530474 / 1

LCM(986,5609) = 5530474

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1824/986, 5210/5609

1. What is the HCF of 1824,5210?

The HCF of 1824,5210 is 2

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 1824/986, 5210/5609?

Answer: GCF of Numerators as per given numbers 1824/986, 5210/5609 is

GCF of Numerators i.e. for 1824,5210 is 2

LCM of denominators i.e. for 986,5609 is 5530474.

Thus, GCF of Fractions is 2/5530474.Finally, GCF of Fractions for 1824/986, 5210/5609 is 2/5530474.