How to Find GCF of 4363/984, 9349/9725?

GCF of 4363/984, 9349/9725

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 4363/984, 9349/9725 i.e 1/9569400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4363/984, 9349/9725.

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 4363/984,9349/9725?

Given fractions are 4363/984,9349/9725

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 4363/984,9349/9725, numerators are 4363,9349

Denominators are 984,9725

The GCF of 4363,9349 is 1 .

LCM of 984,9725 is 9569400.

The greatest common factor of 4363/984,9349/9725 = [GCF of 4363,9349]/[LCM of 984,9725]= 1/9569400

Therefore, the GCF of 4363/984,9349/9725 is 1/9569400.

Greatest Common Factor of 4363,9349

To find the highest common factor of 4363,9349, we have to find the factors of both numbers and list the highest common factor.

The factors of 4363 are 1, 4363

The factors of 9349 are 1, 9349

The HCF of 4363,9349 is 1.

Lets's calculate GCF of 4363,9349

Greatest Common Factor (GCF) of 4363,9349 By Common Division

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

Greatest Common Factor of 4363,9349 By Matching Biggest Common Factor Method

Now, list down the factors of 4363

1,4363

Now, list down the factors of 9349

1,9349

Greatest Common Factor

We found the factors 4363,9349 . The biggest common factor number is the GCF number.
So the greatest common factor 4363,9349 is 1.

Lets's calculate LCM of 984,9725

Lowest Common Multiple of 984,9725 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9569400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9569400

Therefore, the GCF of Fractions 4363/984,9349/9725 is 1/9569400

Least Common Multiple of 984,9725 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 984,9725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,9725) = 1

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

GCF(984,9725) x common factors =1 x 1 = 1

LCM(984,9725) = ( 984 × 9725 ) / 1

LCM(984,9725) = 9569400 / 1

LCM(984,9725) = 9569400

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FAQs on GCF of Fractions of 4363/984, 9349/9725

1. What is the HCF of 4363,9349?

The HCF of 4363,9349 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 4363/984, 9349/9725?

Answer: GCF of Numerators as per given numbers 4363/984, 9349/9725 is

GCF of Numerators i.e. for 4363,9349 is 1

LCM of denominators i.e. for 984,9725 is 9569400.

Thus, GCF of Fractions is 1/9569400.Finally, GCF of Fractions for 4363/984, 9349/9725 is 1/9569400.