How to Find GCF of 9833/461, 4210/2523?

GCF of 9833/461, 4210/2523

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 9833/461, 4210/2523 i.e 1/1163103 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9833/461, 4210/2523.

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 9833/461,4210/2523?

Given fractions are 9833/461,4210/2523

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 9833/461,4210/2523, numerators are 9833,4210

Denominators are 461,2523

The GCF of 9833,4210 is 1 .

LCM of 461,2523 is 1163103.

The greatest common factor of 9833/461,4210/2523 = [GCF of 9833,4210]/[LCM of 461,2523]= 1/1163103

Therefore, the GCF of 9833/461,4210/2523 is 1/1163103.

Greatest Common Factor of 9833,4210

To find the highest common factor of 9833,4210, we have to find the factors of both numbers and list the highest common factor.

The factors of 9833 are 1, 9833

The factors of 4210 are 1, 2, 5, 10, 421, 842, 2105, 4210

The HCF of 9833,4210 is 1.

Lets's calculate GCF of 9833,4210

Greatest Common Factor (GCF) of 9833,4210 By Common Division

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

Greatest Common Factor of 9833,4210 By Matching Biggest Common Factor Method

Now, list down the factors of 9833

1,9833

Now, list down the factors of 4210

1,2,5,10,421,842,2105,4210

Greatest Common Factor

We found the factors 9833,4210 . The biggest common factor number is the GCF number.
So the greatest common factor 9833,4210 is 1.

Lets's calculate LCM of 461,2523

Lowest Common Multiple of 461,2523 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1163103

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1163103

Therefore, the GCF of Fractions 9833/461,4210/2523 is 1/1163103

Least Common Multiple of 461,2523 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 461,2523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,2523) = 1

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

GCF(461,2523) x common factors =1 x 1 = 1

LCM(461,2523) = ( 461 × 2523 ) / 1

LCM(461,2523) = 1163103 / 1

LCM(461,2523) = 1163103

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FAQs on GCF of Fractions of 9833/461, 4210/2523

1. What is the HCF of 9833,4210?

The HCF of 9833,4210 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 9833/461, 4210/2523?

Answer: GCF of Numerators as per given numbers 9833/461, 4210/2523 is

GCF of Numerators i.e. for 9833,4210 is 1

LCM of denominators i.e. for 461,2523 is 1163103.

Thus, GCF of Fractions is 1/1163103.Finally, GCF of Fractions for 9833/461, 4210/2523 is 1/1163103.