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GCF of 233/334, 656/794

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 233/334, 656/794 i.e 1/132598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 233/334, 656/794.

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 233/334,656/794?

Given fractions are 233/334,656/794

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 233/334,656/794, numerators are 233,656

Denominators are 334,794

The GCF of 233,656 is 1 .

LCM of 334,794 is 132598.

The greatest common factor of 233/334,656/794 = [GCF of 233,656]/[LCM of 334,794]= 1/132598

Therefore, the GCF of 233/334,656/794 is 1/132598.

Greatest Common Factor of 233,656

To find the highest common factor of 233,656, 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 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

The HCF of 233,656 is 1.

Lets's calculate GCF of 233,656

Greatest Common Factor (GCF) of 233,656 By Common Division

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

Greatest Common Factor of 233,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,656 By Matching Biggest Common Factor Method

Now, list down the factors of 233

:

1,233

Now, list down the factors of 656

:

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 233,656 . The biggest common factor number is the GCF number.
So the greatest common factor 233,656 is 1.

Lets's calculate LCM of 334,794

Lowest Common Multiple of 334,794 using Common Division

2 334, 794
167, 397

∴ So the LCM of the given numbers is 2 x 167 x 397 = 132598

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132598

Therefore, the GCF of Fractions 233/334,656/794 is 1/132598

Least Common Multiple of 334,794 with GCF Formula

Least Common Multiple of 334,794 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 334,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,794) = 2

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

GCF(334,794) x common factors =2 x 1 = 2

LCM(334,794) = ( 334 × 794 ) / 2

LCM(334,794) = 265196 / 2

LCM(334,794) = 132598


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FAQs on GCF of Fractions of 233/334, 656/794

1. What is the HCF of 233,656?

The HCF of 233,656 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 233/334, 656/794?

Answer: GCF of Numerators as per given numbers 233/334, 656/794 is

GCF of Numerators i.e. for 233,656 is 1

LCM of denominators i.e. for 334,794 is 132598.

Thus, GCF of Fractions is 1/132598.Finally, GCF of Fractions for 233/334, 656/794 is 1/132598.