How to Find GCF of 67/69, 683/22, 189/743?

GCF of 67/69, 683/22, 189/743

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 67/69, 683/22, 189/743 i.e 1/1127874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 67/69, 683/22, 189/743.

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 67/69,683/22,189/743?

Given fractions are 67/69,683/22,189/743

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 67/69,683/22,189/743, numerators are 67,683,189

Denominators are 69,22,743

The GCF of 67,683,189 is 1 .

LCM of 69,22,743 is 1127874.

The greatest common factor of 67/69,683/22,189/743 = [GCF of 67,683,189]/[LCM of 69,22,743]= 1/1127874

Therefore, the GCF of 67/69,683/22,189/743 is 1/1127874.

Greatest Common Factor of 67,683,189

To find the highest common factor of 67,683,189, we have to find the factors of both numbers and list the highest common factor.

The factors of 67 are 1, 67

The factors of 683 are 1, 683

The factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189

The HCF of 67,683,189 is 1.

Lets's calculate GCF of 67,683,189

Greatest Common Factor (GCF) of 67,683,189 By Common Division

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

Greatest Common Factor of 67,683,189 By Matching Biggest Common Factor Method

Now, list down the factors of 67

1,67

Now, list down the factors of 683

1,683

Now, list down the factors of 189

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 67,683,189 . The biggest common factor number is the GCF number.
So the greatest common factor 67,683,189 is 1.

Lets's calculate LCM of 69,22,743

Lowest Common Multiple of 69,22,743 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1127874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1127874

Therefore, the GCF of Fractions 67/69,683/22,189/743 is 1/1127874

Least Common Multiple of 69,22,743 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 69,22,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,22,743) = 1

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

GCF(69,22,743) x common factors =1 x 1 = 1

LCM(69,22,743) = ( 69 × 22 × 743 ) / 1

LCM(69,22,743) = 1127874 / 1

LCM(69,22,743) = 1127874

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 67/69, 683/22, 189/743

1. What is the HCF of 67,683,189?

The HCF of 67,683,189 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 67/69, 683/22, 189/743?

Answer: GCF of Numerators as per given numbers 67/69, 683/22, 189/743 is

GCF of Numerators i.e. for 67,683,189 is 1

LCM of denominators i.e. for 69,22,743 is 1127874.

Thus, GCF of Fractions is 1/1127874.Finally, GCF of Fractions for 67/69, 683/22, 189/743 is 1/1127874.