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GCF of 233/922, 219/260

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 233/922, 219/260 i.e 1/119860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 233/922, 219/260.

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 233/922,219/260?

Given fractions are 233/922,219/260

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 233/922,219/260, numerators are 233,219

Denominators are 922,260

The GCF of 233,219 is 1 .

LCM of 922,260 is 119860.

The greatest common factor of 233/922,219/260 = [GCF of 233,219]/[LCM of 922,260]= 1/119860

Therefore, the GCF of 233/922,219/260 is 1/119860.

Greatest Common Factor of 233,219

To find the highest common factor of 233,219, 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 219 are 1, 3, 73, 219

The HCF of 233,219 is 1.

Lets's calculate GCF of 233,219

Greatest Common Factor (GCF) of 233,219 By Common Division

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

Greatest Common Factor of 233,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,219 By Matching Biggest Common Factor Method

Now, list down the factors of 233

:

1,233

Now, list down the factors of 219

:

1,3,73,219

Greatest Common Factor

We found the factors 233,219 . The biggest common factor number is the GCF number.
So the greatest common factor 233,219 is 1.

Lets's calculate LCM of 922,260

Lowest Common Multiple of 922,260 using Common Division

2 922, 260
461, 130

∴ So the LCM of the given numbers is 2 x 461 x 130 = 119860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119860

Therefore, the GCF of Fractions 233/922,219/260 is 1/119860

Least Common Multiple of 922,260 with GCF Formula

Least Common Multiple of 922,260 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 922,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,260) = 2

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

GCF(922,260) x common factors =2 x 1 = 2

LCM(922,260) = ( 922 × 260 ) / 2

LCM(922,260) = 239720 / 2

LCM(922,260) = 119860


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FAQs on GCF of Fractions of 233/922, 219/260

1. What is the HCF of 233,219?

The HCF of 233,219 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 233/922, 219/260?

Answer: GCF of Numerators as per given numbers 233/922, 219/260 is

GCF of Numerators i.e. for 233,219 is 1

LCM of denominators i.e. for 922,260 is 119860.

Thus, GCF of Fractions is 1/119860.Finally, GCF of Fractions for 233/922, 219/260 is 1/119860.