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GCF of 548/225, 218/653

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 548/225, 218/653 i.e 2/146925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 548/225, 218/653.

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 548/225,218/653?

Given fractions are 548/225,218/653

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 548/225,218/653, numerators are 548,218

Denominators are 225,653

The GCF of 548,218 is 2 .

LCM of 225,653 is 146925.

The greatest common factor of 548/225,218/653 = [GCF of 548,218]/[LCM of 225,653]= 2/146925

Therefore, the GCF of 548/225,218/653 is 2/146925.

Greatest Common Factor of 548,218

To find the highest common factor of 548,218, we have to find the factors of both numbers and list the highest common factor.

The factors of 548 are 1, 2, 4, 137, 274, 548

The factors of 218 are 1, 2, 109, 218

The HCF of 548,218 is 2.

Lets's calculate GCF of 548,218

Greatest Common Factor (GCF) of 548,218 By Common Division

2 548, 218
274, 109

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 548,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,218 By Matching Biggest Common Factor Method

Now, list down the factors of 548

:

1,2,4,137,274,548

Now, list down the factors of 218

:

1,2,109,218

Greatest Common Factor

We found the factors 548,218 . The biggest common factor number is the GCF number.
So the greatest common factor 548,218 is 2.

Lets's calculate LCM of 225,653

Lowest Common Multiple of 225,653 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 146925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/146925

Therefore, the GCF of Fractions 548/225,218/653 is 2/146925

Least Common Multiple of 225,653 with GCF Formula

Least Common Multiple of 225,653 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 225,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,653) = 1

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

GCF(225,653) x common factors =1 x 1 = 1

LCM(225,653) = ( 225 × 653 ) / 1

LCM(225,653) = 146925 / 1

LCM(225,653) = 146925


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FAQs on GCF of Fractions of 548/225, 218/653

1. What is the HCF of 548,218?

The HCF of 548,218 is 2

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 548/225, 218/653?

Answer: GCF of Numerators as per given numbers 548/225, 218/653 is

GCF of Numerators i.e. for 548,218 is 2

LCM of denominators i.e. for 225,653 is 146925.

Thus, GCF of Fractions is 2/146925.Finally, GCF of Fractions for 548/225, 218/653 is 2/146925.