How to Find GCF of 68/872, 20/147, 743/541?

GCF of 68/872, 20/147, 743/541

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 68/872, 20/147, 743/541 i.e 1/69347544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 68/872, 20/147, 743/541.

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 68/872,20/147,743/541?

Given fractions are 68/872,20/147,743/541

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 68/872,20/147,743/541, numerators are 68,20,743

Denominators are 872,147,541

The GCF of 68,20,743 is 1 .

LCM of 872,147,541 is 69347544.

The greatest common factor of 68/872,20/147,743/541 = [GCF of 68,20,743]/[LCM of 872,147,541]= 1/69347544

Therefore, the GCF of 68/872,20/147,743/541 is 1/69347544.

Greatest Common Factor of 68,20,743

To find the highest common factor of 68,20,743, we have to find the factors of both numbers and list the highest common factor.

The factors of 68 are 1, 2, 4, 17, 34, 68

The factors of 20 are 1, 2, 4, 5, 10, 20

The factors of 743 are 1, 743

The HCF of 68,20,743 is 1.

Lets's calculate GCF of 68,20,743

Greatest Common Factor (GCF) of 68,20,743 By Common Division

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

Greatest Common Factor of 68,20,743 By Matching Biggest Common Factor Method

Now, list down the factors of 68

1,2,4,17,34,68

Now, list down the factors of 20

1,2,4,5,10,20

Now, list down the factors of 743

1,743

Greatest Common Factor

We found the factors 68,20,743 . The biggest common factor number is the GCF number.
So the greatest common factor 68,20,743 is 1.

Lets's calculate LCM of 872,147,541

Lowest Common Multiple of 872,147,541 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 69347544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69347544

Therefore, the GCF of Fractions 68/872,20/147,743/541 is 1/69347544

Least Common Multiple of 872,147,541 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 872,147,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,147,541) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(872,147,541) x common factors =1 x 1 = 1

LCM(872,147,541) = ( 872 × 147 × 541 ) / 1

LCM(872,147,541) = 69347544 / 1

LCM(872,147,541) = 69347544

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 68/872, 20/147, 743/541

1. What is the HCF of 68,20,743?

The HCF of 68,20,743 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 68/872, 20/147, 743/541?

Answer: GCF of Numerators as per given numbers 68/872, 20/147, 743/541 is

GCF of Numerators i.e. for 68,20,743 is 1

LCM of denominators i.e. for 872,147,541 is 69347544.

Thus, GCF of Fractions is 1/69347544.Finally, GCF of Fractions for 68/872, 20/147, 743/541 is 1/69347544.