How to Find GCF of 229/668, 1836/2324?

GCF of 229/668, 1836/2324

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 229/668, 1836/2324 i.e 1/388108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 229/668, 1836/2324.

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 229/668,1836/2324?

Given fractions are 229/668,1836/2324

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 229/668,1836/2324, numerators are 229,1836

Denominators are 668,2324

The GCF of 229,1836 is 1 .

LCM of 668,2324 is 388108.

The greatest common factor of 229/668,1836/2324 = [GCF of 229,1836]/[LCM of 668,2324]= 1/388108

Therefore, the GCF of 229/668,1836/2324 is 1/388108.

Greatest Common Factor of 229,1836

To find the highest common factor of 229,1836, we have to find the factors of both numbers and list the highest common factor.

The factors of 229 are 1, 229

The factors of 1836 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102, 108, 153, 204, 306, 459, 612, 918, 1836

The HCF of 229,1836 is 1.

Lets's calculate GCF of 229,1836

Greatest Common Factor (GCF) of 229,1836 By Common Division

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

Greatest Common Factor of 229,1836 By Matching Biggest Common Factor Method

Now, list down the factors of 229

1,229

Now, list down the factors of 1836

1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,102,108,153,204,306,459,612,918,1836

Greatest Common Factor

We found the factors 229,1836 . The biggest common factor number is the GCF number.
So the greatest common factor 229,1836 is 1.

Lets's calculate LCM of 668,2324

Lowest Common Multiple of 668,2324 using Common Division

2	668, 2324
2	334, 1162
	167, 581

∴ So the LCM of the given numbers is 2 x 2 x 167 x 581 = 388108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/388108

Therefore, the GCF of Fractions 229/668,1836/2324 is 1/388108

Least Common Multiple of 668,2324 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 668,2324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,2324) = 4

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

GCF(668,2324) x common factors =4 x 1 = 4

LCM(668,2324) = ( 668 × 2324 ) / 4

LCM(668,2324) = 1552432 / 4

LCM(668,2324) = 388108

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FAQs on GCF of Fractions of 229/668, 1836/2324

1. What is the HCF of 229,1836?

The HCF of 229,1836 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 229/668, 1836/2324?

Answer: GCF of Numerators as per given numbers 229/668, 1836/2324 is

GCF of Numerators i.e. for 229,1836 is 1

LCM of denominators i.e. for 668,2324 is 388108.

Thus, GCF of Fractions is 1/388108.Finally, GCF of Fractions for 229/668, 1836/2324 is 1/388108.