How to Find GCF of 6844/829, 5412/2384?

GCF of 6844/829, 5412/2384

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 6844/829, 5412/2384 i.e 4/1976336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6844/829, 5412/2384.

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 6844/829,5412/2384?

Given fractions are 6844/829,5412/2384

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 6844/829,5412/2384, numerators are 6844,5412

Denominators are 829,2384

The GCF of 6844,5412 is 4 .

LCM of 829,2384 is 1976336.

The greatest common factor of 6844/829,5412/2384 = [GCF of 6844,5412]/[LCM of 829,2384]= 4/1976336

Therefore, the GCF of 6844/829,5412/2384 is 4/1976336.

Greatest Common Factor of 6844,5412

To find the highest common factor of 6844,5412, we have to find the factors of both numbers and list the highest common factor.

The factors of 6844 are 1, 2, 4, 29, 58, 59, 116, 118, 236, 1711, 3422, 6844

The factors of 5412 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 41, 44, 66, 82, 123, 132, 164, 246, 451, 492, 902, 1353, 1804, 2706, 5412

The HCF of 6844,5412 is 4.

Lets's calculate GCF of 6844,5412

Greatest Common Factor (GCF) of 6844,5412 By Common Division

2	6844, 5412
2	3422, 2706
	1711, 1353

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6844,5412 By Matching Biggest Common Factor Method

Now, list down the factors of 6844

1,2,4,29,58,59,116,118,236,1711,3422,6844

Now, list down the factors of 5412

1,2,3,4,6,11,12,22,33,41,44,66,82,123,132,164,246,451,492,902,1353,1804,2706,5412

Greatest Common Factor

We found the factors 6844,5412 . The biggest common factor number is the GCF number.
So the greatest common factor 6844,5412 is 4.

Lets's calculate LCM of 829,2384

Lowest Common Multiple of 829,2384 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1976336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1976336

Therefore, the GCF of Fractions 6844/829,5412/2384 is 4/1976336

Least Common Multiple of 829,2384 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 829,2384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,2384) = 1

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

GCF(829,2384) x common factors =1 x 1 = 1

LCM(829,2384) = ( 829 × 2384 ) / 1

LCM(829,2384) = 1976336 / 1

LCM(829,2384) = 1976336

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FAQs on GCF of Fractions of 6844/829, 5412/2384

1. What is the HCF of 6844,5412?

The HCF of 6844,5412 is 4

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 6844/829, 5412/2384?

Answer: GCF of Numerators as per given numbers 6844/829, 5412/2384 is

GCF of Numerators i.e. for 6844,5412 is 4

LCM of denominators i.e. for 829,2384 is 1976336.

Thus, GCF of Fractions is 4/1976336.Finally, GCF of Fractions for 6844/829, 5412/2384 is 4/1976336.