How to Find GCF of 52/335, 4220/2749?

GCF of 52/335, 4220/2749

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 52/335, 4220/2749 i.e 4/920915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 52/335, 4220/2749.

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 52/335,4220/2749?

Given fractions are 52/335,4220/2749

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 52/335,4220/2749, numerators are 52,4220

Denominators are 335,2749

The GCF of 52,4220 is 4 .

LCM of 335,2749 is 920915.

The greatest common factor of 52/335,4220/2749 = [GCF of 52,4220]/[LCM of 335,2749]= 4/920915

Therefore, the GCF of 52/335,4220/2749 is 4/920915.

Greatest Common Factor of 52,4220

To find the highest common factor of 52,4220, we have to find the factors of both numbers and list the highest common factor.

The factors of 52 are 1, 2, 4, 13, 26, 52

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

The HCF of 52,4220 is 4.

Lets's calculate GCF of 52,4220

Greatest Common Factor (GCF) of 52,4220 By Common Division

2	52, 4220
2	26, 2110
	13, 1055

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

Greatest Common Factor of 52,4220 By Matching Biggest Common Factor Method

Now, list down the factors of 52

1,2,4,13,26,52

Now, list down the factors of 4220

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

Greatest Common Factor

We found the factors 52,4220 . The biggest common factor number is the GCF number.
So the greatest common factor 52,4220 is 4.

Lets's calculate LCM of 335,2749

Lowest Common Multiple of 335,2749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 920915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/920915

Therefore, the GCF of Fractions 52/335,4220/2749 is 4/920915

Least Common Multiple of 335,2749 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 335,2749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(335,2749) = 1

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

GCF(335,2749) x common factors =1 x 1 = 1

LCM(335,2749) = ( 335 × 2749 ) / 1

LCM(335,2749) = 920915 / 1

LCM(335,2749) = 920915

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FAQs on GCF of Fractions of 52/335, 4220/2749

1. What is the HCF of 52,4220?

The HCF of 52,4220 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 52/335, 4220/2749?

Answer: GCF of Numerators as per given numbers 52/335, 4220/2749 is

GCF of Numerators i.e. for 52,4220 is 4

LCM of denominators i.e. for 335,2749 is 920915.

Thus, GCF of Fractions is 4/920915.Finally, GCF of Fractions for 52/335, 4220/2749 is 4/920915.