How to Find GCF of 6539/747, 9802/3803?

GCF of 6539/747, 9802/3803

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 6539/747, 9802/3803 i.e 13/2840841 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6539/747, 9802/3803.

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 6539/747,9802/3803?

Given fractions are 6539/747,9802/3803

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 6539/747,9802/3803, numerators are 6539,9802

Denominators are 747,3803

The GCF of 6539,9802 is 13 .

LCM of 747,3803 is 2840841.

The greatest common factor of 6539/747,9802/3803 = [GCF of 6539,9802]/[LCM of 747,3803]= 13/2840841

Therefore, the GCF of 6539/747,9802/3803 is 13/2840841.

Greatest Common Factor of 6539,9802

To find the highest common factor of 6539,9802, we have to find the factors of both numbers and list the highest common factor.

The factors of 6539 are 1, 13, 503, 6539

The factors of 9802 are 1, 2, 13, 26, 29, 58, 169, 338, 377, 754, 4901, 9802

The HCF of 6539,9802 is 13.

Lets's calculate GCF of 6539,9802

Greatest Common Factor (GCF) of 6539,9802 By Common Division

13	6539, 9802
	503, 754

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 6539,9802 By Matching Biggest Common Factor Method

Now, list down the factors of 6539

1,13,503,6539

Now, list down the factors of 9802

1,2,13,26,29,58,169,338,377,754,4901,9802

Greatest Common Factor

We found the factors 6539,9802 . The biggest common factor number is the GCF number.
So the greatest common factor 6539,9802 is 13.

Lets's calculate LCM of 747,3803

Lowest Common Multiple of 747,3803 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2840841

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2840841

Therefore, the GCF of Fractions 6539/747,9802/3803 is 13/2840841

Least Common Multiple of 747,3803 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 747,3803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,3803) = 1

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

GCF(747,3803) x common factors =1 x 1 = 1

LCM(747,3803) = ( 747 × 3803 ) / 1

LCM(747,3803) = 2840841 / 1

LCM(747,3803) = 2840841

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6539/747, 9802/3803

1. What is the HCF of 6539,9802?

The HCF of 6539,9802 is 13

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 6539/747, 9802/3803?

Answer: GCF of Numerators as per given numbers 6539/747, 9802/3803 is

GCF of Numerators i.e. for 6539,9802 is 13

LCM of denominators i.e. for 747,3803 is 2840841.

Thus, GCF of Fractions is 13/2840841.Finally, GCF of Fractions for 6539/747, 9802/3803 is 13/2840841.