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GCF of 23/32, 846/58, 213/865

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 23/32, 846/58, 213/865 i.e 1/802720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/32, 846/58, 213/865.

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 23/32,846/58,213/865?

Given fractions are 23/32,846/58,213/865

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 23/32,846/58,213/865, numerators are 23,846,213

Denominators are 32,58,865

The GCF of 23,846,213 is 1 .

LCM of 32,58,865 is 802720.

The greatest common factor of 23/32,846/58,213/865 = [GCF of 23,846,213]/[LCM of 32,58,865]= 1/802720

Therefore, the GCF of 23/32,846/58,213/865 is 1/802720.

Greatest Common Factor of 23,846,213

To find the highest common factor of 23,846,213, we have to find the factors of both numbers and list the highest common factor.

The factors of 23 are 1, 23

The factors of 846 are 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

The factors of 213 are 1, 3, 71, 213

The HCF of 23,846,213 is 1.

Lets's calculate GCF of 23,846,213

Greatest Common Factor (GCF) of 23,846,213 By Common Division

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

Greatest Common Factor of 23,846,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,846,213 By Matching Biggest Common Factor Method

Now, list down the factors of 23

:

1,23

Now, list down the factors of 846

:

1,2,3,6,9,18,47,94,141,282,423,846

Now, list down the factors of 213

:

1,3,71,213

Greatest Common Factor

We found the factors 23,846,213 . The biggest common factor number is the GCF number.
So the greatest common factor 23,846,213 is 1.


Lets's calculate LCM of 32,58,865

Lowest Common Multiple of 32,58,865 using Common Division

2 32, 58, 865
16, 29, 865

∴ So the LCM of the given numbers is 2 x 16 x 29 x 865 = 802720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/802720

Therefore, the GCF of Fractions 23/32,846/58,213/865 is 1/802720

Least Common Multiple of 32,58,865 with GCF Formula

Least Common Multiple of 32,58,865 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 32,58,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,58,865) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(32,58,865) x common factors =1 x 2 = 2

LCM(32,58,865) = ( 32 × 58 × 865 ) / 2

LCM(32,58,865) = 1605440 / 2

LCM(32,58,865) = 802720


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 23/32, 846/58, 213/865

1. What is the HCF of 23,846,213?

The HCF of 23,846,213 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 23/32, 846/58, 213/865?

Answer: GCF of Numerators as per given numbers 23/32, 846/58, 213/865 is

GCF of Numerators i.e. for 23,846,213 is 1

LCM of denominators i.e. for 32,58,865 is 802720.

Thus, GCF of Fractions is 1/802720.Finally, GCF of Fractions for 23/32, 846/58, 213/865 is 1/802720.