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GCF of 255/360, 413/953

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 255/360, 413/953 i.e 1/343080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 255/360, 413/953.

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 255/360,413/953?

Given fractions are 255/360,413/953

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 255/360,413/953, numerators are 255,413

Denominators are 360,953

The GCF of 255,413 is 1 .

LCM of 360,953 is 343080.

The greatest common factor of 255/360,413/953 = [GCF of 255,413]/[LCM of 360,953]= 1/343080

Therefore, the GCF of 255/360,413/953 is 1/343080.

Greatest Common Factor of 255,413

To find the highest common factor of 255,413, we have to find the factors of both numbers and list the highest common factor.

The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255

The factors of 413 are 1, 7, 59, 413

The HCF of 255,413 is 1.

Lets's calculate GCF of 255,413

Greatest Common Factor (GCF) of 255,413 By Common Division

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

Greatest Common Factor of 255,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,413 By Matching Biggest Common Factor Method

Now, list down the factors of 255

:

1,3,5,15,17,51,85,255

Now, list down the factors of 413

:

1,7,59,413

Greatest Common Factor

We found the factors 255,413 . The biggest common factor number is the GCF number.
So the greatest common factor 255,413 is 1.

Lets's calculate LCM of 360,953

Lowest Common Multiple of 360,953 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 343080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/343080

Therefore, the GCF of Fractions 255/360,413/953 is 1/343080

Least Common Multiple of 360,953 with GCF Formula

Least Common Multiple of 360,953 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 360,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,953) = 1

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

GCF(360,953) x common factors =1 x 1 = 1

LCM(360,953) = ( 360 × 953 ) / 1

LCM(360,953) = 343080 / 1

LCM(360,953) = 343080


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FAQs on GCF of Fractions of 255/360, 413/953

1. What is the HCF of 255,413?

The HCF of 255,413 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 255/360, 413/953?

Answer: GCF of Numerators as per given numbers 255/360, 413/953 is

GCF of Numerators i.e. for 255,413 is 1

LCM of denominators i.e. for 360,953 is 343080.

Thus, GCF of Fractions is 1/343080.Finally, GCF of Fractions for 255/360, 413/953 is 1/343080.