How to Find GCF of 807/14, 108/58, 743/23?

GCF of 807/14, 108/58, 743/23

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 807/14, 108/58, 743/23 i.e 1/9338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 807/14, 108/58, 743/23.

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 807/14,108/58,743/23?

Given fractions are 807/14,108/58,743/23

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 807/14,108/58,743/23, numerators are 807,108,743

Denominators are 14,58,23

The GCF of 807,108,743 is 1 .

LCM of 14,58,23 is 9338.

The greatest common factor of 807/14,108/58,743/23 = [GCF of 807,108,743]/[LCM of 14,58,23]= 1/9338

Therefore, the GCF of 807/14,108/58,743/23 is 1/9338.

Greatest Common Factor of 807,108,743

To find the highest common factor of 807,108,743, we have to find the factors of both numbers and list the highest common factor.

The factors of 807 are 1, 3, 269, 807

The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

The factors of 743 are 1, 743

The HCF of 807,108,743 is 1.

Lets's calculate GCF of 807,108,743

Greatest Common Factor (GCF) of 807,108,743 By Common Division

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

Greatest Common Factor of 807,108,743 By Matching Biggest Common Factor Method

Now, list down the factors of 807

1,3,269,807

Now, list down the factors of 108

1,2,3,4,6,9,12,18,27,36,54,108

Now, list down the factors of 743

1,743

Greatest Common Factor

We found the factors 807,108,743 . The biggest common factor number is the GCF number.
So the greatest common factor 807,108,743 is 1.

Lets's calculate LCM of 14,58,23

Lowest Common Multiple of 14,58,23 using Common Division

2	14, 58, 23
	7, 29, 23

∴ So the LCM of the given numbers is 2 x 7 x 29 x 23 = 9338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9338

Therefore, the GCF of Fractions 807/14,108/58,743/23 is 1/9338

Least Common Multiple of 14,58,23 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 14,58,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,58,23) = 1

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

GCF(14,58,23) x common factors =1 x 2 = 2

LCM(14,58,23) = ( 14 × 58 × 23 ) / 2

LCM(14,58,23) = 18676 / 2

LCM(14,58,23) = 9338

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 807/14, 108/58, 743/23

1. What is the HCF of 807,108,743?

The HCF of 807,108,743 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 807/14, 108/58, 743/23?

Answer: GCF of Numerators as per given numbers 807/14, 108/58, 743/23 is

GCF of Numerators i.e. for 807,108,743 is 1

LCM of denominators i.e. for 14,58,23 is 9338.

Thus, GCF of Fractions is 1/9338.Finally, GCF of Fractions for 807/14, 108/58, 743/23 is 1/9338.