How to Find GCF of 9469/541, 9829/5320?

GCF of 9469/541, 9829/5320

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 9469/541, 9829/5320 i.e 1/2878120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9469/541, 9829/5320.

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 9469/541,9829/5320?

Given fractions are 9469/541,9829/5320

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 9469/541,9829/5320, numerators are 9469,9829

Denominators are 541,5320

The GCF of 9469,9829 is 1 .

LCM of 541,5320 is 2878120.

The greatest common factor of 9469/541,9829/5320 = [GCF of 9469,9829]/[LCM of 541,5320]= 1/2878120

Therefore, the GCF of 9469/541,9829/5320 is 1/2878120.

Greatest Common Factor of 9469,9829

To find the highest common factor of 9469,9829, we have to find the factors of both numbers and list the highest common factor.

The factors of 9469 are 1, 17, 557, 9469

The factors of 9829 are 1, 9829

The HCF of 9469,9829 is 1.

Lets's calculate GCF of 9469,9829

Greatest Common Factor (GCF) of 9469,9829 By Common Division

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

Greatest Common Factor of 9469,9829 By Matching Biggest Common Factor Method

Now, list down the factors of 9469

1,17,557,9469

Now, list down the factors of 9829

1,9829

Greatest Common Factor

We found the factors 9469,9829 . The biggest common factor number is the GCF number.
So the greatest common factor 9469,9829 is 1.

Lets's calculate LCM of 541,5320

Lowest Common Multiple of 541,5320 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2878120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2878120

Therefore, the GCF of Fractions 9469/541,9829/5320 is 1/2878120

Least Common Multiple of 541,5320 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 541,5320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(541,5320) = 1

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

GCF(541,5320) x common factors =1 x 1 = 1

LCM(541,5320) = ( 541 × 5320 ) / 1

LCM(541,5320) = 2878120 / 1

LCM(541,5320) = 2878120

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FAQs on GCF of Fractions of 9469/541, 9829/5320

1. What is the HCF of 9469,9829?

The HCF of 9469,9829 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 9469/541, 9829/5320?

Answer: GCF of Numerators as per given numbers 9469/541, 9829/5320 is

GCF of Numerators i.e. for 9469,9829 is 1

LCM of denominators i.e. for 541,5320 is 2878120.

Thus, GCF of Fractions is 1/2878120.Finally, GCF of Fractions for 9469/541, 9829/5320 is 1/2878120.