How to Find GCF of 233/635, 933/567, 105/878?

GCF of 233/635, 933/567, 105/878

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 233/635, 933/567, 105/878 i.e 1/316119510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 233/635, 933/567, 105/878.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 233/635,933/567,105/878?

Given fractions are 233/635,933/567,105/878

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 233/635,933/567,105/878, numerators are 233,933,105

Denominators are 635,567,878

The GCF of 233,933,105 is 1 .

LCM of 635,567,878 is 316119510.

The greatest common factor of 233/635,933/567,105/878 = [GCF of 233,933,105]/[LCM of 635,567,878]= 1/316119510

Therefore, the GCF of 233/635,933/567,105/878 is 1/316119510.

Greatest Common Factor of 233,933,105

To find the highest common factor of 233,933,105, we have to find the factors of both numbers and list the highest common factor.

The factors of 233 are 1, 233

The factors of 933 are 1, 3, 311, 933

The factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105

The HCF of 233,933,105 is 1.

Lets's calculate GCF of 233,933,105

Greatest Common Factor (GCF) of 233,933,105 By Common Division

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

Greatest Common Factor of 233,933,105 By Matching Biggest Common Factor Method

Now, list down the factors of 233

1,233

Now, list down the factors of 933

1,3,311,933

Now, list down the factors of 105

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 233,933,105 . The biggest common factor number is the GCF number.
So the greatest common factor 233,933,105 is 1.

Lets's calculate LCM of 635,567,878

Lowest Common Multiple of 635,567,878 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 316119510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/316119510

Therefore, the GCF of Fractions 233/635,933/567,105/878 is 1/316119510

Least Common Multiple of 635,567,878 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 635,567,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(635,567,878) = 1

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

GCF(635,567,878) x common factors =1 x 1 = 1

LCM(635,567,878) = ( 635 × 567 × 878 ) / 1

LCM(635,567,878) = 316119510 / 1

LCM(635,567,878) = 316119510

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FAQs on GCF of Fractions of 233/635, 933/567, 105/878

1. What is the HCF of 233,933,105?

The HCF of 233,933,105 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 233/635, 933/567, 105/878?

Answer: GCF of Numerators as per given numbers 233/635, 933/567, 105/878 is

GCF of Numerators i.e. for 233,933,105 is 1

LCM of denominators i.e. for 635,567,878 is 316119510.

Thus, GCF of Fractions is 1/316119510.Finally, GCF of Fractions for 233/635, 933/567, 105/878 is 1/316119510.