How to Find GCF of 23/969, 833/935, 187/581?

GCF of 23/969, 833/935, 187/581

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 23/969, 833/935, 187/581 i.e 1/30964395 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/969, 833/935, 187/581.

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 23/969,833/935,187/581?

Given fractions are 23/969,833/935,187/581

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 23/969,833/935,187/581, numerators are 23,833,187

Denominators are 969,935,581

The GCF of 23,833,187 is 1 .

LCM of 969,935,581 is 30964395.

The greatest common factor of 23/969,833/935,187/581 = [GCF of 23,833,187]/[LCM of 969,935,581]= 1/30964395

Therefore, the GCF of 23/969,833/935,187/581 is 1/30964395.

Greatest Common Factor of 23,833,187

To find the highest common factor of 23,833,187, 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 833 are 1, 7, 17, 49, 119, 833

The factors of 187 are 1, 11, 17, 187

The HCF of 23,833,187 is 1.

Lets's calculate GCF of 23,833,187

Greatest Common Factor (GCF) of 23,833,187 By Common Division

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

Greatest Common Factor of 23,833,187 By Matching Biggest Common Factor Method

Now, list down the factors of 23

1,23

Now, list down the factors of 833

1,7,17,49,119,833

Now, list down the factors of 187

1,11,17,187

Greatest Common Factor

We found the factors 23,833,187 . The biggest common factor number is the GCF number.
So the greatest common factor 23,833,187 is 1.

Lets's calculate LCM of 969,935,581

Lowest Common Multiple of 969,935,581 using Common Division

17	969, 935, 581
	57, 55, 581

∴ So the LCM of the given numbers is 17 x 57 x 55 x 581 = 30964395

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30964395

Therefore, the GCF of Fractions 23/969,833/935,187/581 is 1/30964395

Least Common Multiple of 969,935,581 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 969,935,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,935,581) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(969,935,581) x common factors =1 x 17 = 17

LCM(969,935,581) = ( 969 × 935 × 581 ) / 17

LCM(969,935,581) = 526394715 / 17

LCM(969,935,581) = 30964395

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 23/969, 833/935, 187/581

1. What is the HCF of 23,833,187?

The HCF of 23,833,187 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 23/969, 833/935, 187/581?

Answer: GCF of Numerators as per given numbers 23/969, 833/935, 187/581 is

GCF of Numerators i.e. for 23,833,187 is 1

LCM of denominators i.e. for 969,935,581 is 30964395.

Thus, GCF of Fractions is 1/30964395.Finally, GCF of Fractions for 23/969, 833/935, 187/581 is 1/30964395.