How to Find GCF of 2263/179, 8338/3714?

GCF of 2263/179, 8338/3714

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 2263/179, 8338/3714 i.e 1/664806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2263/179, 8338/3714.

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 2263/179,8338/3714?

Given fractions are 2263/179,8338/3714

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 2263/179,8338/3714, numerators are 2263,8338

Denominators are 179,3714

The GCF of 2263,8338 is 1 .

LCM of 179,3714 is 664806.

The greatest common factor of 2263/179,8338/3714 = [GCF of 2263,8338]/[LCM of 179,3714]= 1/664806

Therefore, the GCF of 2263/179,8338/3714 is 1/664806.

Greatest Common Factor of 2263,8338

To find the highest common factor of 2263,8338, we have to find the factors of both numbers and list the highest common factor.

The factors of 2263 are 1, 31, 73, 2263

The factors of 8338 are 1, 2, 11, 22, 379, 758, 4169, 8338

The HCF of 2263,8338 is 1.

Lets's calculate GCF of 2263,8338

Greatest Common Factor (GCF) of 2263,8338 By Common Division

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

Greatest Common Factor of 2263,8338 By Matching Biggest Common Factor Method

Now, list down the factors of 2263

1,31,73,2263

Now, list down the factors of 8338

1,2,11,22,379,758,4169,8338

Greatest Common Factor

We found the factors 2263,8338 . The biggest common factor number is the GCF number.
So the greatest common factor 2263,8338 is 1.

Lets's calculate LCM of 179,3714

Lowest Common Multiple of 179,3714 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 664806

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/664806

Therefore, the GCF of Fractions 2263/179,8338/3714 is 1/664806

Least Common Multiple of 179,3714 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 179,3714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,3714) = 1

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

GCF(179,3714) x common factors =1 x 1 = 1

LCM(179,3714) = ( 179 × 3714 ) / 1

LCM(179,3714) = 664806 / 1

LCM(179,3714) = 664806

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FAQs on GCF of Fractions of 2263/179, 8338/3714

1. What is the HCF of 2263,8338?

The HCF of 2263,8338 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 2263/179, 8338/3714?

Answer: GCF of Numerators as per given numbers 2263/179, 8338/3714 is

GCF of Numerators i.e. for 2263,8338 is 1

LCM of denominators i.e. for 179,3714 is 664806.

Thus, GCF of Fractions is 1/664806.Finally, GCF of Fractions for 2263/179, 8338/3714 is 1/664806.