How to Find GCF of 24/51, 69/80, 236/40?

GCF of 24/51, 69/80, 236/40

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 24/51, 69/80, 236/40 i.e 1/4080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/51, 69/80, 236/40.

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 24/51,69/80,236/40?

Given fractions are 24/51,69/80,236/40

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 24/51,69/80,236/40, numerators are 24,69,236

Denominators are 51,80,40

The GCF of 24,69,236 is 1 .

LCM of 51,80,40 is 4080.

The greatest common factor of 24/51,69/80,236/40 = [GCF of 24,69,236]/[LCM of 51,80,40]= 1/4080

Therefore, the GCF of 24/51,69/80,236/40 is 1/4080.

Greatest Common Factor of 24,69,236

To find the highest common factor of 24,69,236, 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 69 are 1, 3, 23, 69

The factors of 236 are 1, 2, 4, 59, 118, 236

The HCF of 24,69,236 is 1.

Lets's calculate GCF of 24,69,236

Greatest Common Factor (GCF) of 24,69,236 By Common Division

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

Greatest Common Factor of 24,69,236 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 69

1,3,23,69

Now, list down the factors of 236

1,2,4,59,118,236

Greatest Common Factor

We found the factors 24,69,236 . The biggest common factor number is the GCF number.
So the greatest common factor 24,69,236 is 1.

Lets's calculate LCM of 51,80,40

Lowest Common Multiple of 51,80,40 using Common Division

2	51, 80, 40
2	51, 40, 20
2	51, 10, 20
5	51, 5, 10
	51, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 51 x 1 x 2 = 4080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4080

Therefore, the GCF of Fractions 24/51,69/80,236/40 is 1/4080

Least Common Multiple of 51,80,40 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 51,80,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,80,40) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(51,80,40) x common factors =1 x 40 = 40

LCM(51,80,40) = ( 51 × 80 × 40 ) / 40

LCM(51,80,40) = 163200 / 40

LCM(51,80,40) = 4080

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 24/51, 69/80, 236/40

1. What is the HCF of 24,69,236?

The HCF of 24,69,236 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 24/51, 69/80, 236/40?

Answer: GCF of Numerators as per given numbers 24/51, 69/80, 236/40 is

GCF of Numerators i.e. for 24,69,236 is 1

LCM of denominators i.e. for 51,80,40 is 4080.

Thus, GCF of Fractions is 1/4080.Finally, GCF of Fractions for 24/51, 69/80, 236/40 is 1/4080.