How to Find GCF of 4789/320, 6837/2804?

GCF of 4789/320, 6837/2804

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 4789/320, 6837/2804 i.e 1/224320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4789/320, 6837/2804.

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 4789/320,6837/2804?

Given fractions are 4789/320,6837/2804

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 4789/320,6837/2804, numerators are 4789,6837

Denominators are 320,2804

The GCF of 4789,6837 is 1 .

LCM of 320,2804 is 224320.

The greatest common factor of 4789/320,6837/2804 = [GCF of 4789,6837]/[LCM of 320,2804]= 1/224320

Therefore, the GCF of 4789/320,6837/2804 is 1/224320.

Greatest Common Factor of 4789,6837

To find the highest common factor of 4789,6837, we have to find the factors of both numbers and list the highest common factor.

The factors of 4789 are 1, 4789

The factors of 6837 are 1, 3, 43, 53, 129, 159, 2279, 6837

The HCF of 4789,6837 is 1.

Lets's calculate GCF of 4789,6837

Greatest Common Factor (GCF) of 4789,6837 By Common Division

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

Greatest Common Factor of 4789,6837 By Matching Biggest Common Factor Method

Now, list down the factors of 4789

1,4789

Now, list down the factors of 6837

1,3,43,53,129,159,2279,6837

Greatest Common Factor

We found the factors 4789,6837 . The biggest common factor number is the GCF number.
So the greatest common factor 4789,6837 is 1.

Lets's calculate LCM of 320,2804

Lowest Common Multiple of 320,2804 using Common Division

2	320, 2804
2	160, 1402
	80, 701

∴ So the LCM of the given numbers is 2 x 2 x 80 x 701 = 224320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224320

Therefore, the GCF of Fractions 4789/320,6837/2804 is 1/224320

Least Common Multiple of 320,2804 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 320,2804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,2804) = 4

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

GCF(320,2804) x common factors =4 x 1 = 4

LCM(320,2804) = ( 320 × 2804 ) / 4

LCM(320,2804) = 897280 / 4

LCM(320,2804) = 224320

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FAQs on GCF of Fractions of 4789/320, 6837/2804

1. What is the HCF of 4789,6837?

The HCF of 4789,6837 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 4789/320, 6837/2804?

Answer: GCF of Numerators as per given numbers 4789/320, 6837/2804 is

GCF of Numerators i.e. for 4789,6837 is 1

LCM of denominators i.e. for 320,2804 is 224320.

Thus, GCF of Fractions is 1/224320.Finally, GCF of Fractions for 4789/320, 6837/2804 is 1/224320.