How to Find GCF of 1830/520, 9317/9196?

GCF of 1830/520, 9317/9196

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 1830/520, 9317/9196 i.e 1/1195480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1830/520, 9317/9196.

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 1830/520,9317/9196?

Given fractions are 1830/520,9317/9196

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 1830/520,9317/9196, numerators are 1830,9317

Denominators are 520,9196

The GCF of 1830,9317 is 1 .

LCM of 520,9196 is 1195480.

The greatest common factor of 1830/520,9317/9196 = [GCF of 1830,9317]/[LCM of 520,9196]= 1/1195480

Therefore, the GCF of 1830/520,9317/9196 is 1/1195480.

Greatest Common Factor of 1830,9317

To find the highest common factor of 1830,9317, we have to find the factors of both numbers and list the highest common factor.

The factors of 1830 are 1, 2, 3, 5, 6, 10, 15, 30, 61, 122, 183, 305, 366, 610, 915, 1830

The factors of 9317 are 1, 7, 11, 77, 121, 847, 1331, 9317

The HCF of 1830,9317 is 1.

Lets's calculate GCF of 1830,9317

Greatest Common Factor (GCF) of 1830,9317 By Common Division

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

Greatest Common Factor of 1830,9317 By Matching Biggest Common Factor Method

Now, list down the factors of 1830

1,2,3,5,6,10,15,30,61,122,183,305,366,610,915,1830

Now, list down the factors of 9317

1,7,11,77,121,847,1331,9317

Greatest Common Factor

We found the factors 1830,9317 . The biggest common factor number is the GCF number.
So the greatest common factor 1830,9317 is 1.

Lets's calculate LCM of 520,9196

Lowest Common Multiple of 520,9196 using Common Division

2	520, 9196
2	260, 4598
	130, 2299

∴ So the LCM of the given numbers is 2 x 2 x 130 x 2299 = 1195480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1195480

Therefore, the GCF of Fractions 1830/520,9317/9196 is 1/1195480

Least Common Multiple of 520,9196 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 520,9196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,9196) = 4

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

GCF(520,9196) x common factors =4 x 1 = 4

LCM(520,9196) = ( 520 × 9196 ) / 4

LCM(520,9196) = 4781920 / 4

LCM(520,9196) = 1195480

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1830/520, 9317/9196

1. What is the HCF of 1830,9317?

The HCF of 1830,9317 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 1830/520, 9317/9196?

Answer: GCF of Numerators as per given numbers 1830/520, 9317/9196 is

GCF of Numerators i.e. for 1830,9317 is 1

LCM of denominators i.e. for 520,9196 is 1195480.

Thus, GCF of Fractions is 1/1195480.Finally, GCF of Fractions for 1830/520, 9317/9196 is 1/1195480.