How to Find GCF of 24/46, 45/67, 634/943?

GCF of 24/46, 45/67, 634/943

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 24/46, 45/67, 634/943 i.e 1/126362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/46, 45/67, 634/943.

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 24/46,45/67,634/943?

Given fractions are 24/46,45/67,634/943

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 24/46,45/67,634/943, numerators are 24,45,634

Denominators are 46,67,943

The GCF of 24,45,634 is 1 .

LCM of 46,67,943 is 126362.

The greatest common factor of 24/46,45/67,634/943 = [GCF of 24,45,634]/[LCM of 46,67,943]= 1/126362

Therefore, the GCF of 24/46,45/67,634/943 is 1/126362.

Greatest Common Factor of 24,45,634

To find the highest common factor of 24,45,634, we have to find the factors of both numbers and list the highest common factor.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

The factors of 45 are 1, 3, 5, 9, 15, 45

The factors of 634 are 1, 2, 317, 634

The HCF of 24,45,634 is 1.

Lets's calculate GCF of 24,45,634

Greatest Common Factor (GCF) of 24,45,634 By Common Division

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

Greatest Common Factor of 24,45,634 By Matching Biggest Common Factor Method

Now, list down the factors of 24

1,2,3,4,6,8,12,24

Now, list down the factors of 45

1,3,5,9,15,45

Now, list down the factors of 634

1,2,317,634

Greatest Common Factor

We found the factors 24,45,634 . The biggest common factor number is the GCF number.
So the greatest common factor 24,45,634 is 1.

Lets's calculate LCM of 46,67,943

Lowest Common Multiple of 46,67,943 using Common Division

23	46, 67, 943
	2, 67, 41

∴ So the LCM of the given numbers is 23 x 2 x 67 x 41 = 126362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126362

Therefore, the GCF of Fractions 24/46,45/67,634/943 is 1/126362

Least Common Multiple of 46,67,943 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 46,67,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,67,943) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(46,67,943) x common factors =1 x 23 = 23

LCM(46,67,943) = ( 46 × 67 × 943 ) / 23

LCM(46,67,943) = 2906326 / 23

LCM(46,67,943) = 126362

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 24/46, 45/67, 634/943

1. What is the HCF of 24,45,634?

The HCF of 24,45,634 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 24/46, 45/67, 634/943?

Answer: GCF of Numerators as per given numbers 24/46, 45/67, 634/943 is

GCF of Numerators i.e. for 24,45,634 is 1

LCM of denominators i.e. for 46,67,943 is 126362.

Thus, GCF of Fractions is 1/126362.Finally, GCF of Fractions for 24/46, 45/67, 634/943 is 1/126362.