How to Find GCF of 9412/496, 2424/739?

GCF of 9412/496, 2424/739

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 9412/496, 2424/739 i.e 4/366544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9412/496, 2424/739.

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 9412/496,2424/739?

Given fractions are 9412/496,2424/739

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 9412/496,2424/739, numerators are 9412,2424

Denominators are 496,739

The GCF of 9412,2424 is 4 .

LCM of 496,739 is 366544.

The greatest common factor of 9412/496,2424/739 = [GCF of 9412,2424]/[LCM of 496,739]= 4/366544

Therefore, the GCF of 9412/496,2424/739 is 4/366544.

Greatest Common Factor of 9412,2424

To find the highest common factor of 9412,2424, we have to find the factors of both numbers and list the highest common factor.

The factors of 9412 are 1, 2, 4, 13, 26, 52, 181, 362, 724, 2353, 4706, 9412

The factors of 2424 are 1, 2, 3, 4, 6, 8, 12, 24, 101, 202, 303, 404, 606, 808, 1212, 2424

The HCF of 9412,2424 is 4.

Lets's calculate GCF of 9412,2424

Greatest Common Factor (GCF) of 9412,2424 By Common Division

2	9412, 2424
2	4706, 1212
	2353, 606

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9412,2424 By Matching Biggest Common Factor Method

Now, list down the factors of 9412

1,2,4,13,26,52,181,362,724,2353,4706,9412

Now, list down the factors of 2424

1,2,3,4,6,8,12,24,101,202,303,404,606,808,1212,2424

Greatest Common Factor

We found the factors 9412,2424 . The biggest common factor number is the GCF number.
So the greatest common factor 9412,2424 is 4.

Lets's calculate LCM of 496,739

Lowest Common Multiple of 496,739 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 366544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/366544

Therefore, the GCF of Fractions 9412/496,2424/739 is 4/366544

Least Common Multiple of 496,739 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 496,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,739) = 1

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

GCF(496,739) x common factors =1 x 1 = 1

LCM(496,739) = ( 496 × 739 ) / 1

LCM(496,739) = 366544 / 1

LCM(496,739) = 366544

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9412/496, 2424/739

1. What is the HCF of 9412,2424?

The HCF of 9412,2424 is 4

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 9412/496, 2424/739?

Answer: GCF of Numerators as per given numbers 9412/496, 2424/739 is

GCF of Numerators i.e. for 9412,2424 is 4

LCM of denominators i.e. for 496,739 is 366544.

Thus, GCF of Fractions is 4/366544.Finally, GCF of Fractions for 9412/496, 2424/739 is 4/366544.