How to Find GCF of 5255/464, 5903/5060?

GCF of 5255/464, 5903/5060

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 5255/464, 5903/5060 i.e 1/586960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5255/464, 5903/5060.

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 5255/464,5903/5060?

Given fractions are 5255/464,5903/5060

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 5255/464,5903/5060, numerators are 5255,5903

Denominators are 464,5060

The GCF of 5255,5903 is 1 .

LCM of 464,5060 is 586960.

The greatest common factor of 5255/464,5903/5060 = [GCF of 5255,5903]/[LCM of 464,5060]= 1/586960

Therefore, the GCF of 5255/464,5903/5060 is 1/586960.

Greatest Common Factor of 5255,5903

To find the highest common factor of 5255,5903, we have to find the factors of both numbers and list the highest common factor.

The factors of 5255 are 1, 5, 1051, 5255

The factors of 5903 are 1, 5903

The HCF of 5255,5903 is 1.

Lets's calculate GCF of 5255,5903

Greatest Common Factor (GCF) of 5255,5903 By Common Division

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

Greatest Common Factor of 5255,5903 By Matching Biggest Common Factor Method

Now, list down the factors of 5255

1,5,1051,5255

Now, list down the factors of 5903

1,5903

Greatest Common Factor

We found the factors 5255,5903 . The biggest common factor number is the GCF number.
So the greatest common factor 5255,5903 is 1.

Lets's calculate LCM of 464,5060

Lowest Common Multiple of 464,5060 using Common Division

2	464, 5060
2	232, 2530
	116, 1265

∴ So the LCM of the given numbers is 2 x 2 x 116 x 1265 = 586960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/586960

Therefore, the GCF of Fractions 5255/464,5903/5060 is 1/586960

Least Common Multiple of 464,5060 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 464,5060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,5060) = 4

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

GCF(464,5060) x common factors =4 x 1 = 4

LCM(464,5060) = ( 464 × 5060 ) / 4

LCM(464,5060) = 2347840 / 4

LCM(464,5060) = 586960

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FAQs on GCF of Fractions of 5255/464, 5903/5060

1. What is the HCF of 5255,5903?

The HCF of 5255,5903 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 5255/464, 5903/5060?

Answer: GCF of Numerators as per given numbers 5255/464, 5903/5060 is

GCF of Numerators i.e. for 5255,5903 is 1

LCM of denominators i.e. for 464,5060 is 586960.

Thus, GCF of Fractions is 1/586960.Finally, GCF of Fractions for 5255/464, 5903/5060 is 1/586960.