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GCF of 233/70, 146/924

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 233/70, 146/924 i.e 1/4620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 233/70, 146/924.

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 233/70,146/924?

Given fractions are 233/70,146/924

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 233/70,146/924, numerators are 233,146

Denominators are 70,924

The GCF of 233,146 is 1 .

LCM of 70,924 is 4620.

The greatest common factor of 233/70,146/924 = [GCF of 233,146]/[LCM of 70,924]= 1/4620

Therefore, the GCF of 233/70,146/924 is 1/4620.

Greatest Common Factor of 233,146

To find the highest common factor of 233,146, 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 146 are 1, 2, 73, 146

The HCF of 233,146 is 1.

Lets's calculate GCF of 233,146

Greatest Common Factor (GCF) of 233,146 By Common Division

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

Greatest Common Factor of 233,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,146 By Matching Biggest Common Factor Method

Now, list down the factors of 233

:

1,233

Now, list down the factors of 146

:

1,2,73,146

Greatest Common Factor

We found the factors 233,146 . The biggest common factor number is the GCF number.
So the greatest common factor 233,146 is 1.

Lets's calculate LCM of 70,924

Lowest Common Multiple of 70,924 using Common Division

2 70, 924
7 35, 462
5, 66

∴ So the LCM of the given numbers is 2 x 7 x 5 x 66 = 4620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4620

Therefore, the GCF of Fractions 233/70,146/924 is 1/4620

Least Common Multiple of 70,924 with GCF Formula

Least Common Multiple of 70,924 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 70,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,924) = 14

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

GCF(70,924) x common factors =14 x 1 = 14

LCM(70,924) = ( 70 × 924 ) / 14

LCM(70,924) = 64680 / 14

LCM(70,924) = 4620


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FAQs on GCF of Fractions of 233/70, 146/924

1. What is the HCF of 233,146?

The HCF of 233,146 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 233/70, 146/924?

Answer: GCF of Numerators as per given numbers 233/70, 146/924 is

GCF of Numerators i.e. for 233,146 is 1

LCM of denominators i.e. for 70,924 is 4620.

Thus, GCF of Fractions is 1/4620.Finally, GCF of Fractions for 233/70, 146/924 is 1/4620.