How to Find GCF of 9338/410, 4232/5540?

GCF of 9338/410, 4232/5540

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 9338/410, 4232/5540 i.e 46/227140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9338/410, 4232/5540.

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 9338/410,4232/5540?

Given fractions are 9338/410,4232/5540

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 9338/410,4232/5540, numerators are 9338,4232

Denominators are 410,5540

The GCF of 9338,4232 is 46 .

LCM of 410,5540 is 227140.

The greatest common factor of 9338/410,4232/5540 = [GCF of 9338,4232]/[LCM of 410,5540]= 46/227140

Therefore, the GCF of 9338/410,4232/5540 is 46/227140.

Greatest Common Factor of 9338,4232

To find the highest common factor of 9338,4232, we have to find the factors of both numbers and list the highest common factor.

The factors of 9338 are 1, 2, 7, 14, 23, 29, 46, 58, 161, 203, 322, 406, 667, 1334, 4669, 9338

The factors of 4232 are 1, 2, 4, 8, 23, 46, 92, 184, 529, 1058, 2116, 4232

The HCF of 9338,4232 is 46.

Lets's calculate GCF of 9338,4232

Greatest Common Factor (GCF) of 9338,4232 By Common Division

2	9338, 4232
23	4669, 2116
	203, 92

∴ So the GCF of the given numbers is 2 x 23 = 46

Greatest Common Factor of 9338,4232 By Matching Biggest Common Factor Method

Now, list down the factors of 9338

1,2,7,14,23,29,46,58,161,203,322,406,667,1334,4669,9338

Now, list down the factors of 4232

1,2,4,8,23,46,92,184,529,1058,2116,4232

Greatest Common Factor

We found the factors 9338,4232 . The biggest common factor number is the GCF number.
So the greatest common factor 9338,4232 is 46.

Lets's calculate LCM of 410,5540

Lowest Common Multiple of 410,5540 using Common Division

2	410, 5540
5	205, 2770
	41, 554

∴ So the LCM of the given numbers is 2 x 5 x 41 x 554 = 227140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/227140

Therefore, the GCF of Fractions 9338/410,4232/5540 is 46/227140

Least Common Multiple of 410,5540 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 410,5540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,5540) = 10

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

GCF(410,5540) x common factors =10 x 1 = 10

LCM(410,5540) = ( 410 × 5540 ) / 10

LCM(410,5540) = 2271400 / 10

LCM(410,5540) = 227140

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9338/410, 4232/5540

1. What is the HCF of 9338,4232?

The HCF of 9338,4232 is 46

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 9338/410, 4232/5540?

Answer: GCF of Numerators as per given numbers 9338/410, 4232/5540 is

GCF of Numerators i.e. for 9338,4232 is 46

LCM of denominators i.e. for 410,5540 is 227140.

Thus, GCF of Fractions is 46/227140.Finally, GCF of Fractions for 9338/410, 4232/5540 is 46/227140.