How to Find GCF of 795/483, 5527/9544?

GCF of 795/483, 5527/9544

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 795/483, 5527/9544 i.e 1/4609752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 795/483, 5527/9544.

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 795/483,5527/9544?

Given fractions are 795/483,5527/9544

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 795/483,5527/9544, numerators are 795,5527

Denominators are 483,9544

The GCF of 795,5527 is 1 .

LCM of 483,9544 is 4609752.

The greatest common factor of 795/483,5527/9544 = [GCF of 795,5527]/[LCM of 483,9544]= 1/4609752

Therefore, the GCF of 795/483,5527/9544 is 1/4609752.

Greatest Common Factor of 795,5527

To find the highest common factor of 795,5527, we have to find the factors of both numbers and list the highest common factor.

The factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795

The factors of 5527 are 1, 5527

The HCF of 795,5527 is 1.

Lets's calculate GCF of 795,5527

Greatest Common Factor (GCF) of 795,5527 By Common Division

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

Greatest Common Factor of 795,5527 By Matching Biggest Common Factor Method

Now, list down the factors of 795

1,3,5,15,53,159,265,795

Now, list down the factors of 5527

1,5527

Greatest Common Factor

We found the factors 795,5527 . The biggest common factor number is the GCF number.
So the greatest common factor 795,5527 is 1.

Lets's calculate LCM of 483,9544

Lowest Common Multiple of 483,9544 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4609752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4609752

Therefore, the GCF of Fractions 795/483,5527/9544 is 1/4609752

Least Common Multiple of 483,9544 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 483,9544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,9544) = 1

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

GCF(483,9544) x common factors =1 x 1 = 1

LCM(483,9544) = ( 483 × 9544 ) / 1

LCM(483,9544) = 4609752 / 1

LCM(483,9544) = 4609752

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FAQs on GCF of Fractions of 795/483, 5527/9544

1. What is the HCF of 795,5527?

The HCF of 795,5527 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 795/483, 5527/9544?

Answer: GCF of Numerators as per given numbers 795/483, 5527/9544 is

GCF of Numerators i.e. for 795,5527 is 1

LCM of denominators i.e. for 483,9544 is 4609752.

Thus, GCF of Fractions is 1/4609752.Finally, GCF of Fractions for 795/483, 5527/9544 is 1/4609752.