How to Find GCF of 5505/234, 1027/9319?

GCF of 5505/234, 1027/9319

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 5505/234, 1027/9319 i.e 1/2180646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5505/234, 1027/9319.

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 5505/234,1027/9319?

Given fractions are 5505/234,1027/9319

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 5505/234,1027/9319, numerators are 5505,1027

Denominators are 234,9319

The GCF of 5505,1027 is 1 .

LCM of 234,9319 is 2180646.

The greatest common factor of 5505/234,1027/9319 = [GCF of 5505,1027]/[LCM of 234,9319]= 1/2180646

Therefore, the GCF of 5505/234,1027/9319 is 1/2180646.

Greatest Common Factor of 5505,1027

To find the highest common factor of 5505,1027, we have to find the factors of both numbers and list the highest common factor.

The factors of 5505 are 1, 3, 5, 15, 367, 1101, 1835, 5505

The factors of 1027 are 1, 13, 79, 1027

The HCF of 5505,1027 is 1.

Lets's calculate GCF of 5505,1027

Greatest Common Factor (GCF) of 5505,1027 By Common Division

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

Greatest Common Factor of 5505,1027 By Matching Biggest Common Factor Method

Now, list down the factors of 5505

1,3,5,15,367,1101,1835,5505

Now, list down the factors of 1027

1,13,79,1027

Greatest Common Factor

We found the factors 5505,1027 . The biggest common factor number is the GCF number.
So the greatest common factor 5505,1027 is 1.

Lets's calculate LCM of 234,9319

Lowest Common Multiple of 234,9319 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2180646

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2180646

Therefore, the GCF of Fractions 5505/234,1027/9319 is 1/2180646

Least Common Multiple of 234,9319 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 234,9319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,9319) = 1

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

GCF(234,9319) x common factors =1 x 1 = 1

LCM(234,9319) = ( 234 × 9319 ) / 1

LCM(234,9319) = 2180646 / 1

LCM(234,9319) = 2180646

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FAQs on GCF of Fractions of 5505/234, 1027/9319

1. What is the HCF of 5505,1027?

The HCF of 5505,1027 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 5505/234, 1027/9319?

Answer: GCF of Numerators as per given numbers 5505/234, 1027/9319 is

GCF of Numerators i.e. for 5505,1027 is 1

LCM of denominators i.e. for 234,9319 is 2180646.

Thus, GCF of Fractions is 1/2180646.Finally, GCF of Fractions for 5505/234, 1027/9319 is 1/2180646.