How to Find GCF of 4927/675, 1508/3281?

GCF of 4927/675, 1508/3281

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 4927/675, 1508/3281 i.e 13/2214675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4927/675, 1508/3281.

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 4927/675,1508/3281?

Given fractions are 4927/675,1508/3281

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 4927/675,1508/3281, numerators are 4927,1508

Denominators are 675,3281

The GCF of 4927,1508 is 13 .

LCM of 675,3281 is 2214675.

The greatest common factor of 4927/675,1508/3281 = [GCF of 4927,1508]/[LCM of 675,3281]= 13/2214675

Therefore, the GCF of 4927/675,1508/3281 is 13/2214675.

Greatest Common Factor of 4927,1508

To find the highest common factor of 4927,1508, we have to find the factors of both numbers and list the highest common factor.

The factors of 4927 are 1, 13, 379, 4927

The factors of 1508 are 1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508

The HCF of 4927,1508 is 13.

Lets's calculate GCF of 4927,1508

Greatest Common Factor (GCF) of 4927,1508 By Common Division

13	4927, 1508
	379, 116

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 4927,1508 By Matching Biggest Common Factor Method

Now, list down the factors of 4927

1,13,379,4927

Now, list down the factors of 1508

1,2,4,13,26,29,52,58,116,377,754,1508

Greatest Common Factor

We found the factors 4927,1508 . The biggest common factor number is the GCF number.
So the greatest common factor 4927,1508 is 13.

Lets's calculate LCM of 675,3281

Lowest Common Multiple of 675,3281 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2214675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2214675

Therefore, the GCF of Fractions 4927/675,1508/3281 is 13/2214675

Least Common Multiple of 675,3281 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 675,3281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,3281) = 1

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

GCF(675,3281) x common factors =1 x 1 = 1

LCM(675,3281) = ( 675 × 3281 ) / 1

LCM(675,3281) = 2214675 / 1

LCM(675,3281) = 2214675

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4927/675, 1508/3281

1. What is the HCF of 4927,1508?

The HCF of 4927,1508 is 13

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 4927/675, 1508/3281?

Answer: GCF of Numerators as per given numbers 4927/675, 1508/3281 is

GCF of Numerators i.e. for 4927,1508 is 13

LCM of denominators i.e. for 675,3281 is 2214675.

Thus, GCF of Fractions is 13/2214675.Finally, GCF of Fractions for 4927/675, 1508/3281 is 13/2214675.