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GCF of 205/229, 783/987

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 205/229, 783/987 i.e 1/226023 easily. The following is the detailed procedure to determine the greatest common factor of fractions 205/229, 783/987.

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 205/229,783/987?

Given fractions are 205/229,783/987

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 205/229,783/987, numerators are 205,783

Denominators are 229,987

The GCF of 205,783 is 1 .

LCM of 229,987 is 226023.

The greatest common factor of 205/229,783/987 = [GCF of 205,783]/[LCM of 229,987]= 1/226023

Therefore, the GCF of 205/229,783/987 is 1/226023.

Greatest Common Factor of 205,783

To find the highest common factor of 205,783, we have to find the factors of both numbers and list the highest common factor.

The factors of 205 are 1, 5, 41, 205

The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783

The HCF of 205,783 is 1.

Lets's calculate GCF of 205,783

Greatest Common Factor (GCF) of 205,783 By Common Division

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

Greatest Common Factor of 205,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,783 By Matching Biggest Common Factor Method

Now, list down the factors of 205

:

1,5,41,205

Now, list down the factors of 783

:

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 205,783 . The biggest common factor number is the GCF number.
So the greatest common factor 205,783 is 1.

Lets's calculate LCM of 229,987

Lowest Common Multiple of 229,987 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 226023

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/226023

Therefore, the GCF of Fractions 205/229,783/987 is 1/226023

Least Common Multiple of 229,987 with GCF Formula

Least Common Multiple of 229,987 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 229,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,987) = 1

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

GCF(229,987) x common factors =1 x 1 = 1

LCM(229,987) = ( 229 × 987 ) / 1

LCM(229,987) = 226023 / 1

LCM(229,987) = 226023


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FAQs on GCF of Fractions of 205/229, 783/987

1. What is the HCF of 205,783?

The HCF of 205,783 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 205/229, 783/987?

Answer: GCF of Numerators as per given numbers 205/229, 783/987 is

GCF of Numerators i.e. for 205,783 is 1

LCM of denominators i.e. for 229,987 is 226023.

Thus, GCF of Fractions is 1/226023.Finally, GCF of Fractions for 205/229, 783/987 is 1/226023.