How to Find GCF of 311/814, 662/638?

GCF of 311/814, 662/638

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 311/814, 662/638 i.e 1/23606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 311/814, 662/638.

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 311/814,662/638?

Given fractions are 311/814,662/638

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 311/814,662/638, numerators are 311,662

Denominators are 814,638

The GCF of 311,662 is 1 .

LCM of 814,638 is 23606.

The greatest common factor of 311/814,662/638 = [GCF of 311,662]/[LCM of 814,638]= 1/23606

Therefore, the GCF of 311/814,662/638 is 1/23606.

Greatest Common Factor of 311,662

To find the highest common factor of 311,662, we have to find the factors of both numbers and list the highest common factor.

The factors of 311 are 1, 311

The factors of 662 are 1, 2, 331, 662

The HCF of 311,662 is 1.

Lets's calculate GCF of 311,662

Greatest Common Factor (GCF) of 311,662 By Common Division

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

Greatest Common Factor of 311,662 By Matching Biggest Common Factor Method

Now, list down the factors of 311

1,311

Now, list down the factors of 662

1,2,331,662

Greatest Common Factor

We found the factors 311,662 . The biggest common factor number is the GCF number.
So the greatest common factor 311,662 is 1.

Lets's calculate LCM of 814,638

Lowest Common Multiple of 814,638 using Common Division

2	814, 638
11	407, 319
	37, 29

∴ So the LCM of the given numbers is 2 x 11 x 37 x 29 = 23606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23606

Therefore, the GCF of Fractions 311/814,662/638 is 1/23606

Least Common Multiple of 814,638 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 814,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,638) = 22

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

GCF(814,638) x common factors =22 x 1 = 22

LCM(814,638) = ( 814 × 638 ) / 22

LCM(814,638) = 519332 / 22

LCM(814,638) = 23606

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FAQs on GCF of Fractions of 311/814, 662/638

1. What is the HCF of 311,662?

The HCF of 311,662 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 311/814, 662/638?

Answer: GCF of Numerators as per given numbers 311/814, 662/638 is

GCF of Numerators i.e. for 311,662 is 1

LCM of denominators i.e. for 814,638 is 23606.

Thus, GCF of Fractions is 1/23606.Finally, GCF of Fractions for 311/814, 662/638 is 1/23606.