How to Find GCF of 3445/143, 1678/3195?

GCF of 3445/143, 1678/3195

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 3445/143, 1678/3195 i.e 1/456885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3445/143, 1678/3195.

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 3445/143,1678/3195?

Given fractions are 3445/143,1678/3195

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 3445/143,1678/3195, numerators are 3445,1678

Denominators are 143,3195

The GCF of 3445,1678 is 1 .

LCM of 143,3195 is 456885.

The greatest common factor of 3445/143,1678/3195 = [GCF of 3445,1678]/[LCM of 143,3195]= 1/456885

Therefore, the GCF of 3445/143,1678/3195 is 1/456885.

Greatest Common Factor of 3445,1678

To find the highest common factor of 3445,1678, we have to find the factors of both numbers and list the highest common factor.

The factors of 3445 are 1, 5, 13, 53, 65, 265, 689, 3445

The factors of 1678 are 1, 2, 839, 1678

The HCF of 3445,1678 is 1.

Lets's calculate GCF of 3445,1678

Greatest Common Factor (GCF) of 3445,1678 By Common Division

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

Greatest Common Factor of 3445,1678 By Matching Biggest Common Factor Method

Now, list down the factors of 3445

1,5,13,53,65,265,689,3445

Now, list down the factors of 1678

1,2,839,1678

Greatest Common Factor

We found the factors 3445,1678 . The biggest common factor number is the GCF number.
So the greatest common factor 3445,1678 is 1.

Lets's calculate LCM of 143,3195

Lowest Common Multiple of 143,3195 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 456885

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/456885

Therefore, the GCF of Fractions 3445/143,1678/3195 is 1/456885

Least Common Multiple of 143,3195 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 143,3195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,3195) = 1

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

GCF(143,3195) x common factors =1 x 1 = 1

LCM(143,3195) = ( 143 × 3195 ) / 1

LCM(143,3195) = 456885 / 1

LCM(143,3195) = 456885

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FAQs on GCF of Fractions of 3445/143, 1678/3195

1. What is the HCF of 3445,1678?

The HCF of 3445,1678 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 3445/143, 1678/3195?

Answer: GCF of Numerators as per given numbers 3445/143, 1678/3195 is

GCF of Numerators i.e. for 3445,1678 is 1

LCM of denominators i.e. for 143,3195 is 456885.

Thus, GCF of Fractions is 1/456885.Finally, GCF of Fractions for 3445/143, 1678/3195 is 1/456885.