How to Find GCF of 3031/930, 6488/6806?

GCF of 3031/930, 6488/6806

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 3031/930, 6488/6806 i.e 1/3164790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3031/930, 6488/6806.

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 3031/930,6488/6806?

Given fractions are 3031/930,6488/6806

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 3031/930,6488/6806, numerators are 3031,6488

Denominators are 930,6806

The GCF of 3031,6488 is 1 .

LCM of 930,6806 is 3164790.

The greatest common factor of 3031/930,6488/6806 = [GCF of 3031,6488]/[LCM of 930,6806]= 1/3164790

Therefore, the GCF of 3031/930,6488/6806 is 1/3164790.

Greatest Common Factor of 3031,6488

To find the highest common factor of 3031,6488, we have to find the factors of both numbers and list the highest common factor.

The factors of 3031 are 1, 7, 433, 3031

The factors of 6488 are 1, 2, 4, 8, 811, 1622, 3244, 6488

The HCF of 3031,6488 is 1.

Lets's calculate GCF of 3031,6488

Greatest Common Factor (GCF) of 3031,6488 By Common Division

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

Greatest Common Factor of 3031,6488 By Matching Biggest Common Factor Method

Now, list down the factors of 3031

1,7,433,3031

Now, list down the factors of 6488

1,2,4,8,811,1622,3244,6488

Greatest Common Factor

We found the factors 3031,6488 . The biggest common factor number is the GCF number.
So the greatest common factor 3031,6488 is 1.

Lets's calculate LCM of 930,6806

Lowest Common Multiple of 930,6806 using Common Division

2	930, 6806
	465, 3403

∴ So the LCM of the given numbers is 2 x 465 x 3403 = 3164790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3164790

Therefore, the GCF of Fractions 3031/930,6488/6806 is 1/3164790

Least Common Multiple of 930,6806 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 930,6806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,6806) = 2

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

GCF(930,6806) x common factors =2 x 1 = 2

LCM(930,6806) = ( 930 × 6806 ) / 2

LCM(930,6806) = 6329580 / 2

LCM(930,6806) = 3164790

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FAQs on GCF of Fractions of 3031/930, 6488/6806

1. What is the HCF of 3031,6488?

The HCF of 3031,6488 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 3031/930, 6488/6806?

Answer: GCF of Numerators as per given numbers 3031/930, 6488/6806 is

GCF of Numerators i.e. for 3031,6488 is 1

LCM of denominators i.e. for 930,6806 is 3164790.

Thus, GCF of Fractions is 1/3164790.Finally, GCF of Fractions for 3031/930, 6488/6806 is 1/3164790.