How to Find GCF of 3355/938, 2555/5326?

GCF of 3355/938, 2555/5326

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 3355/938, 2555/5326 i.e 5/2497894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3355/938, 2555/5326.

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 3355/938,2555/5326?

Given fractions are 3355/938,2555/5326

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 3355/938,2555/5326, numerators are 3355,2555

Denominators are 938,5326

The GCF of 3355,2555 is 5 .

LCM of 938,5326 is 2497894.

The greatest common factor of 3355/938,2555/5326 = [GCF of 3355,2555]/[LCM of 938,5326]= 5/2497894

Therefore, the GCF of 3355/938,2555/5326 is 5/2497894.

Greatest Common Factor of 3355,2555

To find the highest common factor of 3355,2555, we have to find the factors of both numbers and list the highest common factor.

The factors of 3355 are 1, 5, 11, 55, 61, 305, 671, 3355

The factors of 2555 are 1, 5, 7, 35, 73, 365, 511, 2555

The HCF of 3355,2555 is 5.

Lets's calculate GCF of 3355,2555

Greatest Common Factor (GCF) of 3355,2555 By Common Division

5	3355, 2555
	671, 511

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3355,2555 By Matching Biggest Common Factor Method

Now, list down the factors of 3355

1,5,11,55,61,305,671,3355

Now, list down the factors of 2555

1,5,7,35,73,365,511,2555

Greatest Common Factor

We found the factors 3355,2555 . The biggest common factor number is the GCF number.
So the greatest common factor 3355,2555 is 5.

Lets's calculate LCM of 938,5326

Lowest Common Multiple of 938,5326 using Common Division

2	938, 5326
	469, 2663

∴ So the LCM of the given numbers is 2 x 469 x 2663 = 2497894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2497894

Therefore, the GCF of Fractions 3355/938,2555/5326 is 5/2497894

Least Common Multiple of 938,5326 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 938,5326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,5326) = 2

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

GCF(938,5326) x common factors =2 x 1 = 2

LCM(938,5326) = ( 938 × 5326 ) / 2

LCM(938,5326) = 4995788 / 2

LCM(938,5326) = 2497894

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FAQs on GCF of Fractions of 3355/938, 2555/5326

1. What is the HCF of 3355,2555?

The HCF of 3355,2555 is 5

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 3355/938, 2555/5326?

Answer: GCF of Numerators as per given numbers 3355/938, 2555/5326 is

GCF of Numerators i.e. for 3355,2555 is 5

LCM of denominators i.e. for 938,5326 is 2497894.

Thus, GCF of Fractions is 5/2497894.Finally, GCF of Fractions for 3355/938, 2555/5326 is 5/2497894.