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GCF of 5233/955, 7643/255

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 5233/955, 7643/255 i.e 1/48705 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5233/955, 7643/255.

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 5233/955,7643/255?

Given fractions are 5233/955,7643/255

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 5233/955,7643/255, numerators are 5233,7643

Denominators are 955,255

The GCF of 5233,7643 is 1 .

LCM of 955,255 is 48705.

The greatest common factor of 5233/955,7643/255 = [GCF of 5233,7643]/[LCM of 955,255]= 1/48705

Therefore, the GCF of 5233/955,7643/255 is 1/48705.

Greatest Common Factor of 5233,7643

To find the highest common factor of 5233,7643, we have to find the factors of both numbers and list the highest common factor.

The factors of 5233 are 1, 5233

The factors of 7643 are 1, 7643

The HCF of 5233,7643 is 1.

Lets's calculate GCF of 5233,7643

Greatest Common Factor (GCF) of 5233,7643 By Common Division

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

Greatest Common Factor of 5233,7643 By Matching Biggest Common Factor Method

Greatest Common Factor of 5233,7643 By Matching Biggest Common Factor Method

Now, list down the factors of 5233

:

1,5233

Now, list down the factors of 7643

:

1,7643

Greatest Common Factor

We found the factors 5233,7643 . The biggest common factor number is the GCF number.
So the greatest common factor 5233,7643 is 1.

Lets's calculate LCM of 955,255

Lowest Common Multiple of 955,255 using Common Division

5 955, 255
191, 51

∴ So the LCM of the given numbers is 5 x 191 x 51 = 48705

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48705

Therefore, the GCF of Fractions 5233/955,7643/255 is 1/48705

Least Common Multiple of 955,255 with GCF Formula

Least Common Multiple of 955,255 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 955,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(955,255) = 5

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

GCF(955,255) x common factors =5 x 1 = 5

LCM(955,255) = ( 955 × 255 ) / 5

LCM(955,255) = 243525 / 5

LCM(955,255) = 48705


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FAQs on GCF of Fractions of 5233/955, 7643/255

1. What is the HCF of 5233,7643?

The HCF of 5233,7643 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 5233/955, 7643/255?

Answer: GCF of Numerators as per given numbers 5233/955, 7643/255 is

GCF of Numerators i.e. for 5233,7643 is 1

LCM of denominators i.e. for 955,255 is 48705.

Thus, GCF of Fractions is 1/48705.Finally, GCF of Fractions for 5233/955, 7643/255 is 1/48705.