How to Find GCF of 1615/228, 6789/8440?

GCF of 1615/228, 6789/8440

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 1615/228, 6789/8440 i.e 1/481080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1615/228, 6789/8440.

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 1615/228,6789/8440?

Given fractions are 1615/228,6789/8440

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 1615/228,6789/8440, numerators are 1615,6789

Denominators are 228,8440

The GCF of 1615,6789 is 1 .

LCM of 228,8440 is 481080.

The greatest common factor of 1615/228,6789/8440 = [GCF of 1615,6789]/[LCM of 228,8440]= 1/481080

Therefore, the GCF of 1615/228,6789/8440 is 1/481080.

Greatest Common Factor of 1615,6789

To find the highest common factor of 1615,6789, we have to find the factors of both numbers and list the highest common factor.

The factors of 1615 are 1, 5, 17, 19, 85, 95, 323, 1615

The factors of 6789 are 1, 3, 31, 73, 93, 219, 2263, 6789

The HCF of 1615,6789 is 1.

Lets's calculate GCF of 1615,6789

Greatest Common Factor (GCF) of 1615,6789 By Common Division

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

Greatest Common Factor of 1615,6789 By Matching Biggest Common Factor Method

Now, list down the factors of 1615

1,5,17,19,85,95,323,1615

Now, list down the factors of 6789

1,3,31,73,93,219,2263,6789

Greatest Common Factor

We found the factors 1615,6789 . The biggest common factor number is the GCF number.
So the greatest common factor 1615,6789 is 1.

Lets's calculate LCM of 228,8440

Lowest Common Multiple of 228,8440 using Common Division

2	228, 8440
2	114, 4220
	57, 2110

∴ So the LCM of the given numbers is 2 x 2 x 57 x 2110 = 481080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/481080

Therefore, the GCF of Fractions 1615/228,6789/8440 is 1/481080

Least Common Multiple of 228,8440 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 228,8440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,8440) = 4

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

GCF(228,8440) x common factors =4 x 1 = 4

LCM(228,8440) = ( 228 × 8440 ) / 4

LCM(228,8440) = 1924320 / 4

LCM(228,8440) = 481080

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FAQs on GCF of Fractions of 1615/228, 6789/8440

1. What is the HCF of 1615,6789?

The HCF of 1615,6789 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 1615/228, 6789/8440?

Answer: GCF of Numerators as per given numbers 1615/228, 6789/8440 is

GCF of Numerators i.e. for 1615,6789 is 1

LCM of denominators i.e. for 228,8440 is 481080.

Thus, GCF of Fractions is 1/481080.Finally, GCF of Fractions for 1615/228, 6789/8440 is 1/481080.