How to Find GCF of 7539/263, 7719/9595?

GCF of 7539/263, 7719/9595

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 7539/263, 7719/9595 i.e 3/2523485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7539/263, 7719/9595.

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 7539/263,7719/9595?

Given fractions are 7539/263,7719/9595

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 7539/263,7719/9595, numerators are 7539,7719

Denominators are 263,9595

The GCF of 7539,7719 is 3 .

LCM of 263,9595 is 2523485.

The greatest common factor of 7539/263,7719/9595 = [GCF of 7539,7719]/[LCM of 263,9595]= 3/2523485

Therefore, the GCF of 7539/263,7719/9595 is 3/2523485.

Greatest Common Factor of 7539,7719

To find the highest common factor of 7539,7719, we have to find the factors of both numbers and list the highest common factor.

The factors of 7539 are 1, 3, 7, 21, 359, 1077, 2513, 7539

The factors of 7719 are 1, 3, 31, 83, 93, 249, 2573, 7719

The HCF of 7539,7719 is 3.

Lets's calculate GCF of 7539,7719

Greatest Common Factor (GCF) of 7539,7719 By Common Division

3	7539, 7719
	2513, 2573

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7539,7719 By Matching Biggest Common Factor Method

Now, list down the factors of 7539

1,3,7,21,359,1077,2513,7539

Now, list down the factors of 7719

1,3,31,83,93,249,2573,7719

Greatest Common Factor

We found the factors 7539,7719 . The biggest common factor number is the GCF number.
So the greatest common factor 7539,7719 is 3.

Lets's calculate LCM of 263,9595

Lowest Common Multiple of 263,9595 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2523485

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2523485

Therefore, the GCF of Fractions 7539/263,7719/9595 is 3/2523485

Least Common Multiple of 263,9595 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 263,9595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,9595) = 1

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

GCF(263,9595) x common factors =1 x 1 = 1

LCM(263,9595) = ( 263 × 9595 ) / 1

LCM(263,9595) = 2523485 / 1

LCM(263,9595) = 2523485

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FAQs on GCF of Fractions of 7539/263, 7719/9595

1. What is the HCF of 7539,7719?

The HCF of 7539,7719 is 3

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 7539/263, 7719/9595?

Answer: GCF of Numerators as per given numbers 7539/263, 7719/9595 is

GCF of Numerators i.e. for 7539,7719 is 3

LCM of denominators i.e. for 263,9595 is 2523485.

Thus, GCF of Fractions is 3/2523485.Finally, GCF of Fractions for 7539/263, 7719/9595 is 3/2523485.