How to Find GCF of 2823/208, 2525/7389?

GCF of 2823/208, 2525/7389

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 2823/208, 2525/7389 i.e 1/1536912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2823/208, 2525/7389.

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 2823/208,2525/7389?

Given fractions are 2823/208,2525/7389

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 2823/208,2525/7389, numerators are 2823,2525

Denominators are 208,7389

The GCF of 2823,2525 is 1 .

LCM of 208,7389 is 1536912.

The greatest common factor of 2823/208,2525/7389 = [GCF of 2823,2525]/[LCM of 208,7389]= 1/1536912

Therefore, the GCF of 2823/208,2525/7389 is 1/1536912.

Greatest Common Factor of 2823,2525

To find the highest common factor of 2823,2525, we have to find the factors of both numbers and list the highest common factor.

The factors of 2823 are 1, 3, 941, 2823

The factors of 2525 are 1, 5, 25, 101, 505, 2525

The HCF of 2823,2525 is 1.

Lets's calculate GCF of 2823,2525

Greatest Common Factor (GCF) of 2823,2525 By Common Division

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

Greatest Common Factor of 2823,2525 By Matching Biggest Common Factor Method

Now, list down the factors of 2823

1,3,941,2823

Now, list down the factors of 2525

1,5,25,101,505,2525

Greatest Common Factor

We found the factors 2823,2525 . The biggest common factor number is the GCF number.
So the greatest common factor 2823,2525 is 1.

Lets's calculate LCM of 208,7389

Lowest Common Multiple of 208,7389 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1536912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1536912

Therefore, the GCF of Fractions 2823/208,2525/7389 is 1/1536912

Least Common Multiple of 208,7389 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 208,7389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,7389) = 1

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

GCF(208,7389) x common factors =1 x 1 = 1

LCM(208,7389) = ( 208 × 7389 ) / 1

LCM(208,7389) = 1536912 / 1

LCM(208,7389) = 1536912

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FAQs on GCF of Fractions of 2823/208, 2525/7389

1. What is the HCF of 2823,2525?

The HCF of 2823,2525 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 2823/208, 2525/7389?

Answer: GCF of Numerators as per given numbers 2823/208, 2525/7389 is

GCF of Numerators i.e. for 2823,2525 is 1

LCM of denominators i.e. for 208,7389 is 1536912.

Thus, GCF of Fractions is 1/1536912.Finally, GCF of Fractions for 2823/208, 2525/7389 is 1/1536912.