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GCF of 4103/862, 8209/1793

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 4103/862, 8209/1793 i.e 1/1545566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4103/862, 8209/1793.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4103/862,8209/1793?

Given fractions are 4103/862,8209/1793

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 4103/862,8209/1793, numerators are 4103,8209

Denominators are 862,1793

The GCF of 4103,8209 is 1 .

LCM of 862,1793 is 1545566.

The greatest common factor of 4103/862,8209/1793 = [GCF of 4103,8209]/[LCM of 862,1793]= 1/1545566

Therefore, the GCF of 4103/862,8209/1793 is 1/1545566.

Greatest Common Factor of 4103,8209

To find the highest common factor of 4103,8209, we have to find the factors of both numbers and list the highest common factor.

The factors of 4103 are 1, 11, 373, 4103

The factors of 8209 are 1, 8209

The HCF of 4103,8209 is 1.

Lets's calculate GCF of 4103,8209

Greatest Common Factor (GCF) of 4103,8209 By Common Division

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

Greatest Common Factor of 4103,8209 By Matching Biggest Common Factor Method

Greatest Common Factor of 4103,8209 By Matching Biggest Common Factor Method

Now, list down the factors of 4103

:

1,11,373,4103

Now, list down the factors of 8209

:

1,8209

Greatest Common Factor

We found the factors 4103,8209 . The biggest common factor number is the GCF number.
So the greatest common factor 4103,8209 is 1.

Lets's calculate LCM of 862,1793

Lowest Common Multiple of 862,1793 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1545566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1545566

Therefore, the GCF of Fractions 4103/862,8209/1793 is 1/1545566

Least Common Multiple of 862,1793 with GCF Formula

Least Common Multiple of 862,1793 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 862,1793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,1793) = 1

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

GCF(862,1793) x common factors =1 x 1 = 1

LCM(862,1793) = ( 862 × 1793 ) / 1

LCM(862,1793) = 1545566 / 1

LCM(862,1793) = 1545566


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FAQs on GCF of Fractions of 4103/862, 8209/1793

1. What is the HCF of 4103,8209?

The HCF of 4103,8209 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 4103/862, 8209/1793?

Answer: GCF of Numerators as per given numbers 4103/862, 8209/1793 is

GCF of Numerators i.e. for 4103,8209 is 1

LCM of denominators i.e. for 862,1793 is 1545566.

Thus, GCF of Fractions is 1/1545566.Finally, GCF of Fractions for 4103/862, 8209/1793 is 1/1545566.