How to Find GCF of 3245/248, 1993/6443?

GCF of 3245/248, 1993/6443

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 3245/248, 1993/6443 i.e 1/1597864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3245/248, 1993/6443.

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 3245/248,1993/6443?

Given fractions are 3245/248,1993/6443

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 3245/248,1993/6443, numerators are 3245,1993

Denominators are 248,6443

The GCF of 3245,1993 is 1 .

LCM of 248,6443 is 1597864.

The greatest common factor of 3245/248,1993/6443 = [GCF of 3245,1993]/[LCM of 248,6443]= 1/1597864

Therefore, the GCF of 3245/248,1993/6443 is 1/1597864.

Greatest Common Factor of 3245,1993

To find the highest common factor of 3245,1993, we have to find the factors of both numbers and list the highest common factor.

The factors of 3245 are 1, 5, 11, 55, 59, 295, 649, 3245

The factors of 1993 are 1, 1993

The HCF of 3245,1993 is 1.

Lets's calculate GCF of 3245,1993

Greatest Common Factor (GCF) of 3245,1993 By Common Division

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

Greatest Common Factor of 3245,1993 By Matching Biggest Common Factor Method

Now, list down the factors of 3245

1,5,11,55,59,295,649,3245

Now, list down the factors of 1993

1,1993

Greatest Common Factor

We found the factors 3245,1993 . The biggest common factor number is the GCF number.
So the greatest common factor 3245,1993 is 1.

Lets's calculate LCM of 248,6443

Lowest Common Multiple of 248,6443 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1597864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1597864

Therefore, the GCF of Fractions 3245/248,1993/6443 is 1/1597864

Least Common Multiple of 248,6443 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 248,6443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(248,6443) = 1

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

GCF(248,6443) x common factors =1 x 1 = 1

LCM(248,6443) = ( 248 × 6443 ) / 1

LCM(248,6443) = 1597864 / 1

LCM(248,6443) = 1597864

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FAQs on GCF of Fractions of 3245/248, 1993/6443

1. What is the HCF of 3245,1993?

The HCF of 3245,1993 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 3245/248, 1993/6443?

Answer: GCF of Numerators as per given numbers 3245/248, 1993/6443 is

GCF of Numerators i.e. for 3245,1993 is 1

LCM of denominators i.e. for 248,6443 is 1597864.

Thus, GCF of Fractions is 1/1597864.Finally, GCF of Fractions for 3245/248, 1993/6443 is 1/1597864.