How to Find GCF of 8023/223, 3610/7821?

GCF of 8023/223, 3610/7821

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 8023/223, 3610/7821 i.e 1/1744083 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8023/223, 3610/7821.

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 8023/223,3610/7821?

Given fractions are 8023/223,3610/7821

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 8023/223,3610/7821, numerators are 8023,3610

Denominators are 223,7821

The GCF of 8023,3610 is 1 .

LCM of 223,7821 is 1744083.

The greatest common factor of 8023/223,3610/7821 = [GCF of 8023,3610]/[LCM of 223,7821]= 1/1744083

Therefore, the GCF of 8023/223,3610/7821 is 1/1744083.

Greatest Common Factor of 8023,3610

To find the highest common factor of 8023,3610, we have to find the factors of both numbers and list the highest common factor.

The factors of 8023 are 1, 71, 113, 8023

The factors of 3610 are 1, 2, 5, 10, 19, 38, 95, 190, 361, 722, 1805, 3610

The HCF of 8023,3610 is 1.

Lets's calculate GCF of 8023,3610

Greatest Common Factor (GCF) of 8023,3610 By Common Division

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

Greatest Common Factor of 8023,3610 By Matching Biggest Common Factor Method

Now, list down the factors of 8023

1,71,113,8023

Now, list down the factors of 3610

1,2,5,10,19,38,95,190,361,722,1805,3610

Greatest Common Factor

We found the factors 8023,3610 . The biggest common factor number is the GCF number.
So the greatest common factor 8023,3610 is 1.

Lets's calculate LCM of 223,7821

Lowest Common Multiple of 223,7821 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1744083

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1744083

Therefore, the GCF of Fractions 8023/223,3610/7821 is 1/1744083

Least Common Multiple of 223,7821 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 223,7821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,7821) = 1

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

GCF(223,7821) x common factors =1 x 1 = 1

LCM(223,7821) = ( 223 × 7821 ) / 1

LCM(223,7821) = 1744083 / 1

LCM(223,7821) = 1744083

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FAQs on GCF of Fractions of 8023/223, 3610/7821

1. What is the HCF of 8023,3610?

The HCF of 8023,3610 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 8023/223, 3610/7821?

Answer: GCF of Numerators as per given numbers 8023/223, 3610/7821 is

GCF of Numerators i.e. for 8023,3610 is 1

LCM of denominators i.e. for 223,7821 is 1744083.

Thus, GCF of Fractions is 1/1744083.Finally, GCF of Fractions for 8023/223, 3610/7821 is 1/1744083.