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GCF of 2577/208, 5578/225

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 2577/208, 5578/225 i.e 1/46800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2577/208, 5578/225.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2577/208,5578/225?

Given fractions are 2577/208,5578/225

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 2577/208,5578/225, numerators are 2577,5578

Denominators are 208,225

The GCF of 2577,5578 is 1 .

LCM of 208,225 is 46800.

The greatest common factor of 2577/208,5578/225 = [GCF of 2577,5578]/[LCM of 208,225]= 1/46800

Therefore, the GCF of 2577/208,5578/225 is 1/46800.

Greatest Common Factor of 2577,5578

To find the highest common factor of 2577,5578, we have to find the factors of both numbers and list the highest common factor.

The factors of 2577 are 1, 3, 859, 2577

The factors of 5578 are 1, 2, 2789, 5578

The HCF of 2577,5578 is 1.

Lets's calculate GCF of 2577,5578

Greatest Common Factor (GCF) of 2577,5578 By Common Division

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

Greatest Common Factor of 2577,5578 By Matching Biggest Common Factor Method

Greatest Common Factor of 2577,5578 By Matching Biggest Common Factor Method

Now, list down the factors of 2577

:

1,3,859,2577

Now, list down the factors of 5578

:

1,2,2789,5578

Greatest Common Factor

We found the factors 2577,5578 . The biggest common factor number is the GCF number.
So the greatest common factor 2577,5578 is 1.

Lets's calculate LCM of 208,225

Lowest Common Multiple of 208,225 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 46800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46800

Therefore, the GCF of Fractions 2577/208,5578/225 is 1/46800

Least Common Multiple of 208,225 with GCF Formula

Least Common Multiple of 208,225 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 208,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,225) = 1

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

GCF(208,225) x common factors =1 x 1 = 1

LCM(208,225) = ( 208 × 225 ) / 1

LCM(208,225) = 46800 / 1

LCM(208,225) = 46800


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2577/208, 5578/225

1. What is the HCF of 2577,5578?

The HCF of 2577,5578 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 2577/208, 5578/225?

Answer: GCF of Numerators as per given numbers 2577/208, 5578/225 is

GCF of Numerators i.e. for 2577,5578 is 1

LCM of denominators i.e. for 208,225 is 46800.

Thus, GCF of Fractions is 1/46800.Finally, GCF of Fractions for 2577/208, 5578/225 is 1/46800.