How to Find GCF of 4220/148, 9739/3044?

GCF of 4220/148, 9739/3044

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 4220/148, 9739/3044 i.e 1/112628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4220/148, 9739/3044.

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 4220/148,9739/3044?

Given fractions are 4220/148,9739/3044

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 4220/148,9739/3044, numerators are 4220,9739

Denominators are 148,3044

The GCF of 4220,9739 is 1 .

LCM of 148,3044 is 112628.

The greatest common factor of 4220/148,9739/3044 = [GCF of 4220,9739]/[LCM of 148,3044]= 1/112628

Therefore, the GCF of 4220/148,9739/3044 is 1/112628.

Greatest Common Factor of 4220,9739

To find the highest common factor of 4220,9739, we have to find the factors of both numbers and list the highest common factor.

The factors of 4220 are 1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220

The factors of 9739 are 1, 9739

The HCF of 4220,9739 is 1.

Lets's calculate GCF of 4220,9739

Greatest Common Factor (GCF) of 4220,9739 By Common Division

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

Greatest Common Factor of 4220,9739 By Matching Biggest Common Factor Method

Now, list down the factors of 4220

1,2,4,5,10,20,211,422,844,1055,2110,4220

Now, list down the factors of 9739

1,9739

Greatest Common Factor

We found the factors 4220,9739 . The biggest common factor number is the GCF number.
So the greatest common factor 4220,9739 is 1.

Lets's calculate LCM of 148,3044

Lowest Common Multiple of 148,3044 using Common Division

2	148, 3044
2	74, 1522
	37, 761

∴ So the LCM of the given numbers is 2 x 2 x 37 x 761 = 112628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112628

Therefore, the GCF of Fractions 4220/148,9739/3044 is 1/112628

Least Common Multiple of 148,3044 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 148,3044 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,3044) = 4

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

GCF(148,3044) x common factors =4 x 1 = 4

LCM(148,3044) = ( 148 × 3044 ) / 4

LCM(148,3044) = 450512 / 4

LCM(148,3044) = 112628

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4220/148, 9739/3044

1. What is the HCF of 4220,9739?

The HCF of 4220,9739 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 4220/148, 9739/3044?

Answer: GCF of Numerators as per given numbers 4220/148, 9739/3044 is

GCF of Numerators i.e. for 4220,9739 is 1

LCM of denominators i.e. for 148,3044 is 112628.

Thus, GCF of Fractions is 1/112628.Finally, GCF of Fractions for 4220/148, 9739/3044 is 1/112628.