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GCF of 405/488, 251/450

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 405/488, 251/450 i.e 1/109800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 405/488, 251/450.

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 405/488,251/450?

Given fractions are 405/488,251/450

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 405/488,251/450, numerators are 405,251

Denominators are 488,450

The GCF of 405,251 is 1 .

LCM of 488,450 is 109800.

The greatest common factor of 405/488,251/450 = [GCF of 405,251]/[LCM of 488,450]= 1/109800

Therefore, the GCF of 405/488,251/450 is 1/109800.

Greatest Common Factor of 405,251

To find the highest common factor of 405,251, we have to find the factors of both numbers and list the highest common factor.

The factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

The factors of 251 are 1, 251

The HCF of 405,251 is 1.

Lets's calculate GCF of 405,251

Greatest Common Factor (GCF) of 405,251 By Common Division

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

Greatest Common Factor of 405,251 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,251 By Matching Biggest Common Factor Method

Now, list down the factors of 405

:

1,3,5,9,15,27,45,81,135,405

Now, list down the factors of 251

:

1,251

Greatest Common Factor

We found the factors 405,251 . The biggest common factor number is the GCF number.
So the greatest common factor 405,251 is 1.

Lets's calculate LCM of 488,450

Lowest Common Multiple of 488,450 using Common Division

2 488, 450
244, 225

∴ So the LCM of the given numbers is 2 x 244 x 225 = 109800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109800

Therefore, the GCF of Fractions 405/488,251/450 is 1/109800

Least Common Multiple of 488,450 with GCF Formula

Least Common Multiple of 488,450 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 488,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,450) = 2

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

GCF(488,450) x common factors =2 x 1 = 2

LCM(488,450) = ( 488 × 450 ) / 2

LCM(488,450) = 219600 / 2

LCM(488,450) = 109800


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FAQs on GCF of Fractions of 405/488, 251/450

1. What is the HCF of 405,251?

The HCF of 405,251 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 405/488, 251/450?

Answer: GCF of Numerators as per given numbers 405/488, 251/450 is

GCF of Numerators i.e. for 405,251 is 1

LCM of denominators i.e. for 488,450 is 109800.

Thus, GCF of Fractions is 1/109800.Finally, GCF of Fractions for 405/488, 251/450 is 1/109800.