How to Find GCF of 4840/814, 1833/1376?

GCF of 4840/814, 1833/1376

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 4840/814, 1833/1376 i.e 1/560032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4840/814, 1833/1376.

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 4840/814,1833/1376?

Given fractions are 4840/814,1833/1376

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 4840/814,1833/1376, numerators are 4840,1833

Denominators are 814,1376

The GCF of 4840,1833 is 1 .

LCM of 814,1376 is 560032.

The greatest common factor of 4840/814,1833/1376 = [GCF of 4840,1833]/[LCM of 814,1376]= 1/560032

Therefore, the GCF of 4840/814,1833/1376 is 1/560032.

Greatest Common Factor of 4840,1833

To find the highest common factor of 4840,1833, we have to find the factors of both numbers and list the highest common factor.

The factors of 4840 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 121, 220, 242, 440, 484, 605, 968, 1210, 2420, 4840

The factors of 1833 are 1, 3, 13, 39, 47, 141, 611, 1833

The HCF of 4840,1833 is 1.

Lets's calculate GCF of 4840,1833

Greatest Common Factor (GCF) of 4840,1833 By Common Division

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

Greatest Common Factor of 4840,1833 By Matching Biggest Common Factor Method

Now, list down the factors of 4840

1,2,4,5,8,10,11,20,22,40,44,55,88,110,121,220,242,440,484,605,968,1210,2420,4840

Now, list down the factors of 1833

1,3,13,39,47,141,611,1833

Greatest Common Factor

We found the factors 4840,1833 . The biggest common factor number is the GCF number.
So the greatest common factor 4840,1833 is 1.

Lets's calculate LCM of 814,1376

Lowest Common Multiple of 814,1376 using Common Division

2	814, 1376
	407, 688

∴ So the LCM of the given numbers is 2 x 407 x 688 = 560032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/560032

Therefore, the GCF of Fractions 4840/814,1833/1376 is 1/560032

Least Common Multiple of 814,1376 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 814,1376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,1376) = 2

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

GCF(814,1376) x common factors =2 x 1 = 2

LCM(814,1376) = ( 814 × 1376 ) / 2

LCM(814,1376) = 1120064 / 2

LCM(814,1376) = 560032

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FAQs on GCF of Fractions of 4840/814, 1833/1376

1. What is the HCF of 4840,1833?

The HCF of 4840,1833 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 4840/814, 1833/1376?

Answer: GCF of Numerators as per given numbers 4840/814, 1833/1376 is

GCF of Numerators i.e. for 4840,1833 is 1

LCM of denominators i.e. for 814,1376 is 560032.

Thus, GCF of Fractions is 1/560032.Finally, GCF of Fractions for 4840/814, 1833/1376 is 1/560032.