How to Find GCF of 5929/108, 3011/3360?

GCF of 5929/108, 3011/3360

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 5929/108, 3011/3360 i.e 1/30240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5929/108, 3011/3360.

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 5929/108,3011/3360?

Given fractions are 5929/108,3011/3360

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 5929/108,3011/3360, numerators are 5929,3011

Denominators are 108,3360

The GCF of 5929,3011 is 1 .

LCM of 108,3360 is 30240.

The greatest common factor of 5929/108,3011/3360 = [GCF of 5929,3011]/[LCM of 108,3360]= 1/30240

Therefore, the GCF of 5929/108,3011/3360 is 1/30240.

Greatest Common Factor of 5929,3011

To find the highest common factor of 5929,3011, we have to find the factors of both numbers and list the highest common factor.

The factors of 5929 are 1, 7, 11, 49, 77, 121, 539, 847, 5929

The factors of 3011 are 1, 3011

The HCF of 5929,3011 is 1.

Lets's calculate GCF of 5929,3011

Greatest Common Factor (GCF) of 5929,3011 By Common Division

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

Greatest Common Factor of 5929,3011 By Matching Biggest Common Factor Method

Now, list down the factors of 5929

1,7,11,49,77,121,539,847,5929

Now, list down the factors of 3011

1,3011

Greatest Common Factor

We found the factors 5929,3011 . The biggest common factor number is the GCF number.
So the greatest common factor 5929,3011 is 1.

Lets's calculate LCM of 108,3360

Lowest Common Multiple of 108,3360 using Common Division

2	108, 3360
2	54, 1680
3	27, 840
	9, 280

∴ So the LCM of the given numbers is 2 x 2 x 3 x 9 x 280 = 30240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30240

Therefore, the GCF of Fractions 5929/108,3011/3360 is 1/30240

Least Common Multiple of 108,3360 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 108,3360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,3360) = 12

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

GCF(108,3360) x common factors =12 x 1 = 12

LCM(108,3360) = ( 108 × 3360 ) / 12

LCM(108,3360) = 362880 / 12

LCM(108,3360) = 30240

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FAQs on GCF of Fractions of 5929/108, 3011/3360

1. What is the HCF of 5929,3011?

The HCF of 5929,3011 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 5929/108, 3011/3360?

Answer: GCF of Numerators as per given numbers 5929/108, 3011/3360 is

GCF of Numerators i.e. for 5929,3011 is 1

LCM of denominators i.e. for 108,3360 is 30240.

Thus, GCF of Fractions is 1/30240.Finally, GCF of Fractions for 5929/108, 3011/3360 is 1/30240.